Suppose , , and are consecutive terms of an arithmetic…

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Suppose

10k+1

2k

, and

4k^2-5

are consecutive terms of an arithmetic sequence. (1) Find the possible values of

k

. (2) For each value of

k

, find the common difference of the sequence.