Chapter 21.3, Problem 59ES

a.

To determine

To find: The sum of ${\displaystyle \sum _{i=1}^7\left(i+i^2\right)}$ without summation notation.

b.

To determine

To find: The sum of ${\displaystyle \sum _{i=1}^7\left(i\right)}+{\displaystyle \sum _{i=1}^7\left(i^2\right)}$ without summation notation

c.

To determine

To find: The comparison of results of subparts a and b.

d.

To determine

To find: Whether the equation ${\displaystyle \sum _{i=1}^n\left(a_n+b_n\right)={\displaystyle \sum _{i=1}^n{a}_n+}{\displaystyle \sum _{i=1}^n{b}_n}}$ is true or false.