A geometric progression has first term and common ratio

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A geometric progression has first term 22 and common ratio −0.4-0.4. Calculate, correct to one decimal place, the percentage error when the sum of the first three terms is used to approximate the sum to infinity. (a) 9.1\% (b) 4.6\% (c) 6.4\% (d) 12.8\%

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