The GP has first term and common ratio

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

Problem

The GP 2, 6, 18,…2,\,6,\,18,\dots has first term 22 and common ratio 33. What is the smallest positive integer nn such that the sum of its first nn terms is at least 242242? (a) 6 (b) 4 (c) 5 (d) 7

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