Expand and evaluate:

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Expand and evaluate: (a)

\sum_{k=1}^{3}4k

(b)

\sum_{k=1}^{6}(k+1)

(c)

\sum_{k=1}^{4}(3k-5)

(d)

\sum_{k=1}^{5}(11-2k)

(e)

\sum_{k=1}^{7}k(k+1)

(f)

\sum_{k=1}^{5}10\times2^{k-1}