Consider the infinite geometric series with first term and common ratio
MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Consider the infinite geometric series with first term 8 and common ratio r.
(i) State the condition on r for which the series converges.
(ii) Using the criterion stated in part (i), decide whether the series converges or diverges when (a) r=43, (b) r=−45.
(iii) Give a brief reason for each decision made in part (ii).