The sum of the first 15 terms for the geometric sequence is 10
The sequence is given as:
5, 5/2, 5/4 ,...
The above sequence has the following parameters
First term, a = 5
Common ratio, r = 1/2
Number of terms, n =15
The sum of the first 15 terms for the geometric sequence is represented as:
Sn = a * (r^n - 1)/(r - 1)
So, we have:
S15 = 5 * ((1/2)^15 - 1)/(1/2 - 1)
Evaluate
S15 = 9.9996
Approximate
S15 = 10
Hence, the sum of the first 15 terms for the geometric sequence is 10
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