MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
The 4th term of a G.P. is 54 and the sum of the first four terms is 80.
(i) Determine the first term and the common ratio.
(ii) Write explicitly the first four terms of this progression.
(iii) Decide whether the series has a finite sum to infinity. Justify your answer, and if it exists, compute that sum.