The sum to infinity of an infinite geometric progression is
MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
The sum to infinity of an infinite geometric progression is 12. If the first term is 3, find:
(i) the common ratio r,
(ii) the magnitude of the 50th term of the progression.
Explain whether the value obtained in part (ii) is consistent with the convergence of the series.