A geometric sequence has a first term of 50 and a fourth term of 86.4

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A geometric sequence has a first term of 50 and a fourth term of 86.4. The sum of the first

n

terms of the sequence is

S_n

. Find the smallest value of

n

such that

S_n > 33500