The first three terms of a sequence are

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

Problem

3p - 5

2p + 1

and

p + 7

. (i) Show that these three terms are in arithmetic progression only for a particular value of

p

and find that value. (ii) For the value of

p

obtained in part (i), write the next two terms of the progression. (iii) For the same value of

p

, determine the term number whose value will be

52