Question 84134: 1. Use the geometric sequence of numbers 1,2,4,8,...to find the following:
a. What is r, the ratio between 2 consecutive terms?
show work
***r=2/1=2
b. Using the formula for the nth term of a geometric sequence, what is the 24th term?
show work
***a n below=a, r 2-1 above
answer 615
c. Using the formula for the sum of a geometic series, what is the sum of the first 10 terms?
show work
****1,023.00****
Thank you for your help
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Use the geometric sequence of numbers 1,2,4,8,...to find the following:
a. What is r, the ratio between 2 consecutive terms?
show work
***r=2/1=2
TRUE
------------------
b. Using the formula for the nth term of a geometric sequence, what is the 24th term?
show work
a(24) = a(1)*r^(24-1)
a(24) = 1*2^23 = 8,388,608
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c. Using the formula for the sum of a geometic series, what is the sum of the first 10 terms?
S(n) = a(1)[r^(n+1)-1]/[r-1]
S(10) = 1 [2^11 -1]/[2-1]
S(10) = 2047
===============
Cheers,
Stan H.
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