Expand and evaluate:

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

Problem

Expand and evaluate: (1)

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

(2)

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

(3)

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

(4)

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

(5)

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

(6)

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