The sum of the first five terms of a geometric progression is and its first term is .

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

Problem

The sum of the first five terms of a geometric progression is 155155 and its first term is 55. (i) Form the equation that relates the common ratio rr to the given information. (ii) Solve the equation to find the value of rr. (iii) Using the value of rr obtained, compute the sum of the first eight terms of the progression.

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