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Verified Answer :

sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

\(S_n= \frac{a_1(1-r^n)}{1-r}\)


1/6, 3/6, 9/6
hmm
times 3 every time

common ratio is 3
a₁=1/6
n=15

\(S_15= \frac{(1/6)(1-3^15)}{1-3}\)
\(S_15= \frac{(1/6)(1-14348907)}{-2}\)
\(S_15= \frac{(1/6)(-14348906)}{-2}\)
\(S_15= \frac{-2391484.33333333}{-2}\)
\(S_15= 1195742.16666666\)

answer is 1195742.16666666 or your last answer