A geometric sequence with common ratio and an arithmetic sequence with common…
MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
A geometric sequence with common ratio r and an arithmetic sequence with common difference d have the same first two terms. The third terms of the geometric and arithmetic sequences are in the ratio 2:1 .
(a) Find the possible values of r .
(b) For each value of r , find the ratio of the fourth terms of the sequences.