The first three terms of a sequence are

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

4,\;k,\;25

. (i) Find the value of

k

for which the three terms are in AP. (ii) Find the value(s) of

k

for which the three terms are in GP. (iii) When

k=10

, classify the sequence

4, 10, 25

as an AP, GP, or neither.