In a geometric progression the 7th term is 64 and the sum of the first seven terms is 127
MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
In a geometric progression the 7th term is 64 and the sum of the first seven terms is 127.
(i) Determine the first term and the common ratio.
(ii) Using these values, find the least positive integer n for which the sum of the first n terms exceeds 1000.