MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
In a geometric progression, the sum of the first six terms is 364 while the sum of the first three terms is 140.
(i) Construct two separate equations involving the first term a and the common ratio r using the given information.
(ii) Determine the value of r.
(iii) Determine the value of a.
(iv) Verify your results by computing the sum of the first six terms from the values obtained.