Tutors Answer Your Questions about Sequences-and-series (FREE)
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(75887) |
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(75887) |
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(75887) |
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(75887) |
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(2933) |
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 jayanthi(5) |
Question 59396: 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 grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains of wheat on the third square. Continue this until all 64 squares are covered with grains of wheat.” 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 whaet involved.
a) How much wheat would Mr. Brown have to put on the 24nd square?
Answer:
Show work in this space
b) How much total grain would the traveling salesman receive in total if the checkerboard only had 24 squares?
Answer:
Show work in this space
c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? please answer in either scientific notation, or calculate and show all 20 digits
Answer:
Show work in this space
Click here to see answer by Edwin McCravy(20056)  |
Question 60451: hi, I'm Sarah and i'm in 10th grade taking algebra 2, but i'm also taking an SAT prep course, and i'm having a little trouble with questions involving finding the nth term. it's quite a bit more advanced than regular math, but i hope you can still give me a hand. here is an example of one of the problems i was given:
Instructions: writs the general term of the sequence:
1,8,27,64,125,...
(answer goes here) -> Nth term:
i was also given problems using variables; but i can't understand them without first understanding how to find the answer using numerical values. i would be most appreciative if you could also work one of the questions with variables so i can get an idea of how to work them. here is a question with variables:
The sequence a, a+d, a+2d, a+3d, a+4d,... has as it's Nth or general term (answer goes in blank) -> _________
thank you in advance for your help!
Click here to see answer by hayek(51) |
Question 60451: hi, I'm Sarah and i'm in 10th grade taking algebra 2, but i'm also taking an SAT prep course, and i'm having a little trouble with questions involving finding the nth term. it's quite a bit more advanced than regular math, but i hope you can still give me a hand. here is an example of one of the problems i was given:
Instructions: writs the general term of the sequence:
1,8,27,64,125,...
(answer goes here) -> Nth term:
i was also given problems using variables; but i can't understand them without first understanding how to find the answer using numerical values. i would be most appreciative if you could also work one of the questions with variables so i can get an idea of how to work them. here is a question with variables:
The sequence a, a+d, a+2d, a+3d, a+4d,... has as it's Nth or general term (answer goes in blank) -> _________
thank you in advance for your help!
Click here to see answer by josmiceli(19441)  |
Question 60460: mama mia! for some reason, these sequences are just driving me mad! i would appreciate if you could help me with a few more problems. hopefully, something will click in my head after this.
Instructions: write the general term of the sequence:
#1. 1,2,3,4,5,6,...
(answer here) -> Nth term:____
i'm pretty sure the answer is just plain N, but i'm not sure.
#2. 1,2,4,8,16,...
(answer here) -> Nth term: ___
I know the answer involves the number 2 and N, but i'm not sure how to put them together correctly.
#10. 1,-1,1,-1,1,-1,...
Nth term:__
this one just left me clueless. i think it's -1n^0, but, i'm not sure.
#9. -1,4,-9,16,-25,...
Nth term:__
again, i think it's -n^3, but i'm not positive.
I'm also having trouble with adding terms in a sequence. i have a formula: [(first term + last term)(number of terms)]/2. but i'm not sure how i would apply it to sequences involving exponents.
Instructions: write the sum
#2. 1+3+9+27+81+...+1*3^101
Now, am i correct in assuming that 1*3 is the general term of the sequence and that the last term is the 101st value of 1*3?
#5 2+7+12+17+...+97
just plain lost on this one.
again, i thank you for your help in advance
Click here to see answer by josmiceli(19441) |
Question 60460: mama mia! for some reason, these sequences are just driving me mad! i would appreciate if you could help me with a few more problems. hopefully, something will click in my head after this.
Instructions: write the general term of the sequence:
#1. 1,2,3,4,5,6,...
(answer here) -> Nth term:____
i'm pretty sure the answer is just plain N, but i'm not sure.
#2. 1,2,4,8,16,...
(answer here) -> Nth term: ___
I know the answer involves the number 2 and N, but i'm not sure how to put them together correctly.
#10. 1,-1,1,-1,1,-1,...
Nth term:__
this one just left me clueless. i think it's -1n^0, but, i'm not sure.
#9. -1,4,-9,16,-25,...
Nth term:__
again, i think it's -n^3, but i'm not positive.
I'm also having trouble with adding terms in a sequence. i have a formula: [(first term + last term)(number of terms)]/2. but i'm not sure how i would apply it to sequences involving exponents.
Instructions: write the sum
#2. 1+3+9+27+81+...+1*3^101
Now, am i correct in assuming that 1*3 is the general term of the sequence and that the last term is the 101st value of 1*3?
#5 2+7+12+17+...+97
just plain lost on this one.
again, i thank you for your help in advance
Click here to see answer by praseena(37) |
Question 60971: To whom may it concern,
I have difficulty to answer this question.
To find the width of a river, a boy places a wooden peg at a point A on one side directly opposite an object B on the opposite bank. From A, he walks 50 m along the bank to a point C. He observes that ACB = 34°. Calculate the width of the river.
Please help. Thanks in advanced.
CH Lam
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 61044: Hey,
I have a problem where the instructions say : Tell Whether each series has a sum. If it does, give its value
the problem i need help with is 2/3 + 1 + 3/2 + 9/4...
i dont know how to get the answer or how to find it
Click here to see answer by joyofmath(189) |
Question 60972: To whom may it concern,
I have encountered problem to do this question.
The angle of elevation of the top of a post from a point on level ground 38 m away its 33.23°. Find the height of the post.
Please help. Thanks a lot.
CH Lam
Click here to see answer by josmiceli(19441) |
Question 60973: To whom may it concern,
I have trouble to do this question.
The length and width of a triangle are 19.2 cm and 12.4 cm respectively. Find the angle between a diagonal and the shorter side of the triangle.
Please help. Thank you very much.
CH Lam
Click here to see answer by uma(370) |
Question 60970: To whom may it concern,
I have trouble to get the answer for the follwoinh questions.
A bank charges 2.25% per month simple interest on personal loan. If John borrows $6400 for a period of 2 years and 1 month, find the total interest he has to pay.
Please help. Thank you very much.
CH Lam
Click here to see answer by uma(370) |
|
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, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790
|
