The sum of the first 15 terms for the geometric sequence is 18
How to find the sum of the first 15 terms for the geometric sequence?
The sequence is given as:
12, 4, 4/3,....
The above sequence has the following parameters
First term, a = 12
Common ratio, r = 1/3
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 = 12 * ((1/3)^15 - 1)/(1/3 - 1)
Evaluate
S15 = 17.9999987455
Approximate
S15 = 18
Hence, the sum of the first 15 terms for the geometric sequence is 18
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