Let denote the sum to infinity of an infinite geometric progression with first term…

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

Problem

Let

S

denote the sum to infinity of an infinite geometric progression with first term

a

and common ratio

r

where

|r|<1

. (i) Express

a

in terms of

S

and

r

. (ii) Using the expression obtained in part (i), calculate the first term when

S = 15

and

r = -\dfrac14