The infinite series converges to

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

Problem

The infinite series ∑n=1∞(k+2)(−3)1−n\displaystyle\sum_{n=1}^{\infty}(k+2)(-3)^{1-n} converges to 1818. What is the value of kk? (a) 1010 (b) 2222 (c) −6-6 (d) 1212

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