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Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 66248: I have a test coming up. I really need to know if I am on the right track.
1] list the first 4 terms of sequence given by the formula: s[n]=n!/n^2, n>=1.
I came up with 1, 1/2, 2/3, 3/2.
2} list the first 4 terms of sequence given by the recursion formula
a[n]=2a[n-1]+3, with a[1]=1. I came up with (1,3,7,15)
3] the sum of the first 500 terms of aritmetic series 1+4+7+...
I came up with 125,000
Click here to see answer by stanbon(26296)   |
Question 66348This question is from textbook 
: 16. Central high school is selling lottery tickets to raise money for a new sound system. There are 18 prizes for the lottery, and the students and teachers sold 2400 tickets.
A. what fraction of the people who bought tickets will win a prize?
B. what fraction of the people who bought tickets will not win a prize?
C. what is the probability that someone who buys one ticket will win a prize? This question is from textbook
Click here to see answer by venugopalramana(3286)  |
Question 66350This question is from textbook
: 2. Use the distributive property to rewrite each family of expressions without using parentheses. Enter (2, 5, 6) into list L1 and (-3.6, -0.5, 12) into list L2 on your calculator, and use them to check your answers numerically.
A. 3(L1 +2)
B. -4 (6 - L2)
C. -7 (L1 -3)This question is from textbook
Click here to see answer by ptaylor(1578)  |
Question 66564: Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost?
Hint: You have two unknowns (variables), so you need two equations. Write one equation for each situation and solve the system of equations.
Click here to see answer by stanbon(26296) |
Question 67569: 1)
Lets say that we have a tree. The first day the height of the tree is 1 meter. The second day is 50cm higher. (1.50m). The third day is 25cm higher(1.75m)The fourth day is 12.5cm higher. The next day is 6.25cm higher, next day is 3.125cm higher and so on. Make a Sigma notation that will show the height of the tree after n days...
2)
The leaves of the tree are:
first day=1
second day=3
third day=7
fourth day=15
fifth day=31
sixth day=63
seventh day=127
day8= 255 leaves and so on......
A sigma notation that will give the number of leaves after n days....
Thank you in advance
Click here to see answer by aaaaaaaa(138) |
Question 67596This question is from textbook 
: 1) find two consecutive odd integers whose product is 143
2) a rectangle is 4 cm longer than it is wide, and its area is 117cm squared. find its dimensions
3)the area of a right triangle is 44m squared. find the lenghts of its legs if one of the legs is 3 m longer than the other
4) the hypotenuse of a right triangle is 25 m long. the length of one leg is 10m less than twice the other. find the length of each leg.
please show your work
thank youThis question is from textbook
Click here to see answer by checkley71(8405) |
Question 67603This question is from textbook
: 1) the area of a right triangle is 44m squared. find the lengths of its legs if one of the legs is 3 m longer than the other
2) the hypotneuse of a right triangle is 25m long. the length of one leg is 10m less than twice the other. find the length of each leg.
please show your work
thank you very much!!!!!This question is from textbook
Click here to see answer by stanbon(26296) |
Question 67665This question is from textbook 
: I am working with recursive functions. I do not understand the examples given in the book.
Example 1 is evaluating a recursive function. Use the following defintion to find the value of f(4).
f(1)=3 and f(n)= f(n-1) + n
solution:
f(1)=3
f(2)= f(1)+2=3+2=5 This is where I get lost.
f(3)=f(2)+3=5+3=8
f(4)=f(3)+4=8+4=12
I understand factorals but this I do not understand. Also is there a website that would guide me slower through the recursive functions?
Thank you
KateThis question is from textbook
Click here to see answer by stanbon(26296) |
Question 67698This question is from textbook
: Thanks for responding to my question. I understand what you were doing but I am still confuse about where the other equation works in f(n)= f(n-1)+n. Some other problems have this equation changing. ie: f(n)= f(n-2) + f(n-1) and f(0)=1
KateThis question is from textbook
Click here to see answer by stanbon(26296) |
Question 68836: Please help. I tried to figure this problem out, but I couldnt.
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 Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane 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 on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24th square?
Answer:
Show work in this space.
b) How much total grain would the traveling salesman receive 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 provide the answer in either scientific notation, or calculate and show all 20 digits.
Answer:
Click here to see answer by stanbon(26296) |
Question 68835: I cant figure this out. Please help.
Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.
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? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.
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? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.
d) What observation can make about the successive partial sums of this series? In particular, what whole number does it appear that the sum will always be smaller than?
Click here to see answer by stanbon(26296) |
Question 68833: I can't figure this out. Please help.
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.
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 rmromero(383) |
Question 71577: A propeller driven plane leaves the airport and travels north at 200 mph. Two hours later, a jet plane leaves the same airport and travels north at 600 mph. How long will it take the jet plane to catch up to the propeller driven plane?
Click here to see answer by stanbon(26296) |
Question 73071: Use the geometric sequence of numbers 1,2,4,8,... to find the following What is r, ratio between 2 consecutive terms? show work
Using the formula for the nth term of a geometric sequence, what is the 24th term? show work
Using the formula for the sum of a geometric series, what is the sum of the first 10 terms? show work
Click here to see answer by jim_thompson5910(13794) |
Question 73070: use the arthimetis sequence of numbers 1,3,5,7,9,... to find the following what is d, the difference between any 2 terms? show work
Using the formula for the nth term of an arthimetoc sequence, what is the 101st term? show work?
Using the formula for the sum of an arthimetic sequence, what is the sum of the first 20 terms? show work
Using the formula for the sum of an arthimetic sequence, what is the sum of the first 30 terms? show work
Click here to see answer by rmromero(383) |
Question 73160: ie: 101 was not added at the start via: dillusion of mental psychology tactics, this is to change the aspect of thinking. It may also be a recognised problem but i would not have any knowledge in relation..
It is in red writing and i perceive it as a guide to unlock the most simplest of logical thinking.
"ai wassup¿?"
Click here to see answer by diluzion(5) |
Question 73595: The infinite geometric sequence which begins:
(2^300),(2^298),(2^296),(2^294)...
contains only ONE odd integer. This odd integer is the nth term of the sequence. What is the value of n?
------------------------------------------
I figured out the equation for the sequence, but don't know how to find out the odd integer.
equation: (2^302-2n)
Click here to see answer by joyofmath(189) |
Question 73915: I am forever grateful to the tutor that has helped me with College Algebra so far. I can never say thank you enough, but if you would could you please help me with theis problem?
Use the arithmetic sequence of numbers 1,3,5,7,9, ... to find the following: What is d, the difference between any 2 terms?
Click here to see answer by uma(370) |
Question 73934: Help me! I'm starting my Finite Math Class this semester and just want to check and see if you guys can help.
here is the question.
Use inductive reasoning to find the next number in this sequence: 1, 3, 9, 27, 81?
Click here to see answer by stanbon(26296) |
Question 74008: 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 sequence, 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 sequence, 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 sequence (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 jim_thompson5910(13794) |
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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
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