Sigma Notation Review

Rewrite as a series (list all values)
$$\sum_{k=1}^5\left(30-k^2\right)$$

(a)  

$$\sum_{m=1}^6\left(50-m\right)$$

Rewrite as a series

(a)  

Rewrite each sum as a series

$$\sum_{a=1}^6\left(3a^2-2\right)$$

(a)  

$$\sum_{m=1}^6\frac{m^2+1}{m}$$

Rewrite as a series (use / for simplified fractions)

(a)  

Evaluate the sum

$$\sum_{k=1}^53k$$

(a)  

Evaluate the sum

$$\sum_{k=1}^7\left(30-k\right)$$

(a)  

Rewrite the series using sigma (sum) notation

$$3+9+27+81+243$$

Rewrite the series using sigma (sum) notation

$$1+4+9+16+25$$

Rewrite the series using sigma (sum) notation

$$\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+\frac{4}{5}+\frac{5}{6}+\frac{6}{7}$$

Are these equal?

$$\sum_{x=1}^{50}\frac{1}{x}\ and\ \sum_{x=21}^{70}\frac{1}{x-20}$$