Given the sum of the first terms of another sequence

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

Problem

Given the sum of the first

n

terms of another sequence,

\{v_n\}

\frac{1}{2}\left(\frac{5}{3}\right)^n

. By considering

v_1

, justify if

\{v_n\}

is a geometric progression.