Answer:
Step-by-step explanation:
The given series is a geometric series because the consecutive terms differ by a common ratio. The formula for determining the sum of the first n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 3
r = 6/3 = 12/6 = 2
n = 15
Therefore, the sum of the first 15 terms, S15 is
S15 = (3 × 2^(15) - 1)/2 - 1
S15 = (3 × 32767)/1
S15 = 98301
