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Answers without the blur. Sign up and see all textbooks for free! Q 62.

Expert-verified Found in: Page 809 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # In Problems 61–70, express each sum using summation notation.${1}^{3}+{2}^{3}+{3}^{3}+....+{8}^{3}$

The required summation notation is ${1}^{3}+{2}^{3}+{3}^{3}+....+{8}^{3}=\sum _{k=1}^{8}{k}^{3}$.

See the step by step solution

## Step 1. Write the given information.

The given sum is:

${1}^{3}+{2}^{3}+{3}^{3}+....+{8}^{3}$

## Step 2. Write the sum using summation notation.

As we can see that the sum ${1}^{3}+{2}^{3}+{3}^{3}+....+{8}^{3}$ has 8 terms, each term represents the form ${k}^{3}$, and starts at $k=1$ and ends at $k=8$.

Therefore, localid="1646759504406" ${1}^{3}+{2}^{3}+{3}^{3}+....+{8}^{3}=\sum _{k=1}^{8}{k}^{3}$. ### Want to see more solutions like these? 