SOLUTION: I am having a hard time with this question.
Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
b)
Algebra.Com
Question 53592: I am having a hard time with this question.
Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the nth term of a geometric sequence, what is the 24th term?
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Thanks for your time.
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?
r=2/1=2
b) Using the formula for the nth term of a geometric sequence, what is the 24th term?
a(n)= ar^(n-1)
a(24)=1*2^23=8,388,608
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
S(n)=a[(r^(n+1)-1)/(r-1)[
S(24) = 1[(2^11 -1)/(2-1)]
S(24) = 2047
Cheers,
Stan H.
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