The second term of an infinite geometric progression is and the common ratio is .

MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

The second term of an infinite geometric progression is

9

and the common ratio is

\dfrac{1}{3}

. (i) Find the first term

a

of the progression. (ii) Determine whether the infinite series converges. If it does, calculate its sum to infinity.