Find a simplified expression in terms of for .

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

Problem

Find a simplified expression in terms of

n

for

\displaystyle \sum_{k=1}^{n} (3k+2)\; - \; \sum_{k=1}^{n} (k-1)

. (a)

2n^{2}+8n

(b)

n^{2}+3n

(c)

n^{2}+4n

(d)

2n^{2}+3n

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