Short Answer

In Problems 61–70, express each sum using summation notation.
$1^{3} + 2^{3} + 3^{3} + . . . . + 8^{3}$

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

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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" $1^{3} + 2^{3} + 3^{3} + . . . . + 8^{3} = \sum_{k = 1}^{8} k^{3}$ .

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Precalculus Enhanced with Graphing Utilities

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Short Answer

In Problems 61–70, express each sum using summation notation.
$1^{3} + 2^{3} + 3^{3} + . . . . + 8^{3}$

Step by Step Solution

Step 1. Write the given information.

Step 2. Write the sum using summation notation.

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Precalculus Enhanced with Graphing Utilities

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Short Answer

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Step by Step Solution

Step 1. Write the given information.

Step 2. Write the sum using summation notation.

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In Problems 61–70, express each sum using summation notation.
$1^{3} + 2^{3} + 3^{3} + . . . . + 8^{3}$