   Chapter 13.1, Problem 66E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 61-66 ■ Sigma Notation Write the sum without using sigma notation. ∑ j = 1 n ( − 1 ) j + 1 x j

To determine

The sum of j=1n(1)j+1xj without sigma notation.

Explanation

Given:

The summation is given as,

j=1n(1)j+1xj

Approach:

The sum of the first n terms of any sequence can be written summation or sigma notation represented as .

The sigma notation is used as follows,

k=1nak=a1+a2++an

The left-hand side is read as sum of ak from k=1 to k=n.

The letter k is the index of summation and replaced by an integer 0,1,2,n.

Calculation:

The sum of (1)j+1xj from j=1 to j=n is,

j=1n(1)j+1xj=(1)1+1x1+(1)2+1x2++

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