Determine a simplified expression in terms of for .

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

Problem

Determine a simplified expression in terms of

n

for

\displaystyle \sum_{k=0}^{n} (4k+5)

. (a)

(n+1)(4n+5)

(b)

(n+1)(2n+5)

(c)

n(2n+5)

(d)

(n+1)(2n+3)