A geometric progression has first term and common ratio
MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
A geometric progression has first term a>0 and common ratio 0<r<1, while an arithmetic progression has the same first term a and a positive common difference d. As n→∞, which of the two sums Sn approaches a finite limit? Give a brief reason for your answer.