Consider a geometric progression with positive terms in which the sum of the first (n…
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Consider a geometric progression with positive terms in which the sum of the first n terms equals the sum of the next n terms.
(i) Explain why this condition implies that r2n=1, where r is the common ratio.
(ii) Hence, discuss the possible values of r consistent with the progression having positive terms.