   Chapter 4.2, Problem 20E

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 16 ( 5 i − 4 )

To determine

To calculate: The sum of series, i=116(5i4). Use summation capabilities of graphing utility to verify to result.

Explanation

Given:

The series, i=116(5i4).

Formula used:

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

Calculation:

Consider the provided series,

i=116(5i4)

The summation of the series,

i=116(5i4)=5i=116ii=1164=(5)[

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