The first term of a geometric progression is and its common ratio is

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

Problem

The first term of a geometric progression is

12

and its common ratio is

-\dfrac{1}{2}

. The sign of the

15^{\text{th}}

term is (a) Negative (b) Depends on the magnitude of the ratio (c) Positive (d) Zero