For the geometric progression with first term and common ratio
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
For the geometric progression with first term 2 and common ratio −0.4, answer the following.
(a) Calculate the remainder after the first five terms.
(b) Determine whether the first five terms give the sum correct to within 1% of the sum to infinity.
(c) Find the least value of n for which the sum of the first n terms is accurate to within 1% of the sum to infinity.