The first term of an infinite geometric progression is and its common ratio is

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

The first term of an infinite geometric progression is 66 and its common ratio is 23\tfrac23. (a) Find the remainder after the first four terms are taken. (b) Find the remainder after the first six terms are taken. (c) Which of the two partial sums obtained in parts (a) and (b) gives a percentage error less than 10%10\% in approximating the sum to infinity? Show all working.

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