   Chapter 4.2, Problem 22E

Chapter
Section
Textbook Problem

Evaluating a Sum In Exercises 17-24, use the properties of summation and Theorem 4.2 to evaluate the sum. Use the summation capabilities of graphing utility to verify your result. ∑ i = 1 10 ( i 2 − 1 )

To determine

To calculate: The sum of series, i=110(i21). Use summation capabilities of graphing utility to verify to result.

Explanation

Given:

The series,i=110(i21).

Formula used:

Summation formula, i=1ni2=n(n+1)(2n+1)6 and i=1nc=cn, where c is a constant.

And,

i=1nai±bi=i=1nai±i=1nbi

Calculation:

Consider the provided series,

i=110(i21)

The summation of the series,

i=110(i21)=

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