Let an arithmetic progression (AP) have first term and common difference

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Let an arithmetic progression (AP) have first term

a

and common difference

d

, and a geometric progression (GP) have the same first term

a

and common ratio

r

. Write the symbolic condition for which their

k^{\text{th}}

terms are equal.