MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
In a geometric progression, the ratio of the sum of the first three terms to the sum of the first six terms is 1:7. It is further given that the sum of the first three terms is 9.
(i) Obtain an equation in the common ratio r from the given ratio of sums and solve for r.
(ii) Using the value of r, find the first term a.
(iii) Compute the product of the first six terms of the progression.