MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
The first term of a geometric progression is 5. If the sum of its first four terms is 200, the common ratio is denoted by r(=1).
(i) Form an algebraic equation in r based on the given information.
(ii) Solve the equation obtained in part (i) to determine the value of r.
(iii) Using the value of r found, calculate the sum of the first eight terms of the progression.