A geometric progression has first term and common ratio

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

Problem

A geometric progression has first term

9

and common ratio

\dfrac{1}{2}

. What is the smallest integer

n

for which the sum of its first

n

terms exceeds

17

? (a)

6

(b)

5

(c)

3

(d)

4