In an arithmetic progression

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

Problem

In an arithmetic progression, the first term is 55 and the common difference is 33. If the sum of the first nn terms is 170170, which one of the following equations in nn must be satisfied? (a) 3n2+10n−340=03n^{2}+10n-340=0 (b) 3n2−7n−340=03n^{2}-7n-340=0 (c) 3n2+7n−340=03n^{2}+7n-340=0 (d) 3n2+7n−170=03n^{2}+7n-170=0

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