Chapter 5.4, Problem 1ES

Evaluate.

(a) ${\displaystyle \underset{k=1}{\overset{3}{\sum }}{k}^3}$

(b) ${\displaystyle \underset{j=2}{\overset{6}{\sum }}\left(3j-1\right)}$

(c) ${\displaystyle \underset{i=-4}{\overset{1}{\sum }}\left(i^2-i\right)}$

(d) ${\displaystyle \underset{n=0}{\overset{5}{\sum }}1}$

(e) ${\displaystyle \underset{k=0}{\overset{4}{\sum }}{\left(-2\right)}^k}$

(f) ${\displaystyle \underset{n=1}{\overset{6}{\sum }}\sin n\pi }$