For the geometric progression with first term and common ratio

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

For the geometric progression with first term

2

and common ratio

\dfrac{1}{3}

, what is the smallest integer

n

such that the difference between the sum to infinity and the sum of the first

n

terms is less than

0.05

? (a)

6

(b)

4

(c)

5

(d)

3