A geometric progression with common ratio is transformed into another progression by…

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

Problem

A geometric progression

\{a, ar, ar^{2}, \ldots\}

with common ratio

r\,(r\neq1)

is transformed into another progression by multiplying every term by a constant

k

. If the fourth term of the original progression equals the sum of the first three terms of the new progression, find

k

in terms of

r