Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 52643: 2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space
b) What is the equation for the line of symmetry for the graph of this function?
Answer:
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x – h)2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:
Click here to see answer by venugopalramana(3286)  |
Question 53287: Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you.
Click here to see answer by Nate(3500) |
Question 53325: 4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space
b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer:
Show work in this space
c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer:
Show work in this space
You have a question like this but it doesnt answer all 3 questions. Please help.
THANK YOU
Click here to see answer by venugopalramana(3286) |
Question 53354: CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space
b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer:
Show work in this space
c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer:
Show work in this space
You have a question like this but it doesnt answer all 3 questions. Please help.
THANK YOU: 4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space
b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer:
Show work in this space
c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer:
Show work in this space
You have a question like this but it doesnt answer all 3 questions. Please help.
I dont understand the translation from pounds to dollars is there anyway to do this in dollars? Please help thank you again.
THANK YOU
Click here to see answer by venugopalramana(3286) |
Question 53424: please help...thanks
Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any 2 terms?
Answer:
Show work in this space.
b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.
c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Answer:
Show work in this space
d) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
Answer:
Show work in this space
e) What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
Answer:
Click here to see answer by aaaaaaaa(138) |
Question 53479: Can someone please answer this in "Dollars" not pounds I dont not the relation between the two, I am sorry. Please help by answering the this according to the questions. Please I really appreciate what you guy's and gal's are doing. I just dont understand the way the question was answered before in pounds.
A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space
b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer:
Show work in this space
c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer:
Show work in this space
Thank You so much for your help.
Click here to see answer by stanbon(57219) |
Question 53518: Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space
b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer:
Show work in this space
c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer:
Show work in this space
Please help me, I am confused.
Click here to see answer by venugopalramana(3286) |
Question 53517: 1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any 2 terms?
Answer:
Show work in this space.
b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.
c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Answer:
Show work in this space
d) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
Answer:
Show work in this space
e) What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
Answer:
I think I got it but i'm not sure.
Click here to see answer by venugopalramana(3286) |
Question 53425: thanks for any help
4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space
b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer:
Show work in this space
c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer:
Show work in this space
Click here to see answer by Earlsdon(6287) |
Question 53538: 1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any 2 terms?
Answer:
Show work in this space.
b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.
c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Answer:
Show work in this space
d) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
Answer:
Show work in this space
e) What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
Answer:
Click here to see answer by funmath(2925) |
Question 25541: I have an assignment due on arithmetic series of numbers. I have been studying my book and can't seem to figure out what I am supposed to do to make or solve the equations. Is there anyway you can help? Thank you in advance.
Use the arithmetic series of numbers 1,3,5,7,9,...to find the following:
What is d, the difference between any 2 numbers?
Using the formula for the nth term of an arithmetic series, what is 101st term?
Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
What observation can you make about these sums of this series(HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3 etc.)?
I know it seems like a lot but it really is just one problem broken down into several sections. I have no idea how to so this so I would be VERY thankful for any help you can give me.
Click here to see answer by vanetiks(6) |
Question 53618: I am totally lost, Please help!!!
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Include the following in your answer:
1.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
2.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
3. Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric.
Click here to see answer by stanbon(57219) |
Question 53621: I am having a hard time figuring out this problem.
Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals.
c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Please round your answer to 4 decimals.
Thanks for your help!
Click here to see answer by stanbon(57219) |
Question 53621: I am having a hard time figuring out this problem.
Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals.
c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Please round your answer to 4 decimals.
Thanks for your help!
Click here to see answer by funmath(2925) |
Question 53667: Use the arithmetic sequence of numbers 1. 3, 5, 7, 9,...to find the following:
a) what is d, the differenc between any 2 terms?
b) Using the formula for the nth term of an arithmetic sequence, what is 101th term?
c) Using the formula for the sum of an arthmetic series, what is the sum of the first 20 terms?
Click here to see answer by stanbon(57219) |
Question 43662: Using the data set 17, 25, 30, 27, 16, 19, 35, 42, 18, 20, 19, 13, what value corresponds to the 43rd percentile?
a) 17 b) 19 c) 21 d) 23 e) NOT
Click here to see answer by stanbon(57219) |
Question 53970: OK so say you had a quadratic sequence that represented pascales triangle so the first row would be 1 cube and the second row would be 4 cubes the third row would be 9 cubes and so on there for the sequence being 1,4,9,16,25.... there for the eqasion would be tn= n^2. Then you would want to find the 100th row which would be 100^2 but the question is how many blocks would it take to build up to the 100th row so its the sum of the sequence or pyrimd up to t100. Now you could just add up all the terms in the sequence but i would like to know the equaion for finding the sum of this term, and how you would get that equasion. If you could e-mail me ASAP that wouls be greatly appreciated thanks for the help
FELICIA
Click here to see answer by stanbon(57219) |
Question 54068: Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Include the following in your answer
1) Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence:
2) Whcih one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
3) Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.
Click here to see answer by stanbon(57219) |
Question 54265: 3, 6, 11, 18 ...
The first four terms of a sequence are shown above. Which of the following could be the formula that gives the nth term of this sequence for all positive integers n?
A. 2n
B. 2n + 1
C. 3n
D. n^2 + 1
E. n^2 + 2
Click here to see answer by Nate(3500) |
Question 54813: Hi, hope you can help me withs this problem
A new car depreciates by 20% in its first year. Each succeding year it depreciates by 10%. Assume the car is still in good work condition after 10 years. If the car cost $25000 calculate the value of the car after 10 years. Express your answer to the nearest $10
Tanks for your help!
Click here to see answer by stanbon(57219) |
Question 55340: Hi, I am having a hard time trying to resolve this problem
Donna deposited some money into an account paying 8% per annum, compounded quarterly. When she goes into the bank 3 years later, she discovers that there is $1585.30 in her account. What was the initial amount Donna deposited?
Any help will be eternally appreciated
thanks
Click here to see answer by checkley71(8403) |
Question 55341: Hi guys, hope you can help me with this problem. I tried to figure it out by myself but I am completely lost. Here it is:
Kenneth recently started a new job. His starting gross monthly salary is $3200. Each year, on the anniversary of his starting date, Kenneth is promised a 7% raise.
A.If Kenneth works for 5 years, what was his gross annual income in his fifth year at work?
B.What is the minimum of years Kenneth will have to work to earn a gross annual income of at least $60000?
Thanks in advanced!!!
Click here to see answer by checkley71(8403) |
Question 55465: Good evening, I have the problems about the GP and Ap. Please help me in.....
1) A ball is dropped from a height of 18 ft. If on it rebound, it rises to a height 2/3 the distance from which it fell, how far ( up and and down ) will the ball have traveled when it hits the ground for the sixth times? (Give the approximately answer)
2) A pendulum is released and swings through an arc measuring 15 inche. Each swing thererater it travels a distance 0.85 times the length of the previous pass. Approximately how far will the pendulum swing on the eighth pass?
3) A readioactive dye is injected into a system in a medical test. After one hour, 60% of the dye remains. At the end of two hours 60% of the remaining dye remains, and so on. If one unit of dye is injected, approximately what percent will remain after 12 hours?
Click here to see answer by venugopalramana(3286) |
Question 55486: 1)The first two terms of a geometric sequence are a1=1/3 and a2=1/6. what is a8 the 8th term?
2)If x is inversely proportional to y and x =60 when y =0.5 find x when x=12
3)An infinite geometric series has 1 ad 1/5 as its first 2 terms: 1, 1/5, 1/25, 1/125,... what is the sum, S, of the infinite series?
4) if y=7.2 when x=10 what is the value of x when y =20? (y varies inversely as the square of x)
Click here to see answer by stanbon(57219) |
Question 56302: On the day of the child's birth, a proud parent deposits an amount of money into a compound interest savings account, which will earn 5% each year. On the child's eighteenth birthday, the account will have accumulated $10,000. How much did the parent deposit on the day of the child's birth?
Click here to see answer by stanbon(57219) |
Question 56307: Determine whether the following argument is correct. If it's not correct, explain what is wrong with the argument and change the minor premise to make a correct argument.
All NBA basketball players are over 5 ft. tall.
Russell is 6 ft. tall.
Therefore, Russell plays in the NBA.
Click here to see answer by stanbon(57219) |
Question 56303: Consider the sequence that begins 4, 3, ... and continues by the rule: Every subsequent element of the sequence is the sum of the two preceding elements.
a. Determine the next five (third through seventh) elements of this sequence.
b. Compute the ratio of the sixth and seventh elements of this sequence. Is it close to the Golden Ratio?
Click here to see answer by Cintchr(481) |
Question 59091: Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.
You can this r easily by taking the ratios
b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer:
Show work in this space.
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Answer:
Show work in this space.
Click here to see answer by funmath(2925) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645
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