Question

Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find the exact value of the term a30 of the sequence.

Answer 1

A10 = $\frac{3}{512}$ and A15 = $\frac{3}{16384}$
AN is $3(\frac {1}{2^{n-1}})$. Therefore A30 is $\frac {1}{536870912}$