   Chapter 4, Problem 23RE

Chapter
Section
Textbook Problem

Evaluating a Sum In Exercises 19–24, use the properties of summation and Theorem 4.2 to evaluate the sum. Use the summation capabilities of a graphing utility to verify your result. ∑ i = 1 20 ( i + 1 ) 2

To determine

To calculate: The sum S=i=120(i+1)2 and verify using graphing utility.

Explanation

Given:

The sum S=i=120(i+1)2

Formula used:

i=1ni2=n(n+1)(2n+1)6, i=1nc=cn and i=1ni=n(n+1)2

Calculation:

Consider the given expression.

S=i=120(i+1)2=i

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