Chapter 21.3, Problem 60ES

a.

To determine

To find: The sum of ${\displaystyle \sum _{i=1}^6\left(5i^3\right)}$ without summation notation.

b.

To determine

To find: The sum of $5\cdot {\displaystyle \sum _{i=1}^6\left(i^3\right)}$ without summation notation

c.

To determine

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

d.

To determine

To find: The determination, Wwhether the equation ${\displaystyle \sum _{i=1}^{n}c\cdot a_n=c}\cdot {\displaystyle \sum _{i=1}^n{a}_n}$ is true or and false.