For a geometric progression with first term and common ratio

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

For a geometric progression with first term

9

and common ratio

0.6

, determine the smallest positive integer

n

such that the remainder after the first

n

terms is less than

0.05

. (a) 11 (b) 14 (c) 12 (d) 10