Chapter 13.1, Problem 70E

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Chapter
Section

### Algebra and Trigonometry (MindTap ...

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

# 67-74 ■ Sigma Notation Write the sum using sigma notation. 1 2 ln 2 − 1 3 ln 3 + 1 4 ln 4 − 1 5 ln 5 + ⋯ + 1 100 ln 100

To determine

The sum of 12ln213ln3+14ln415ln5++1100ln100 using sigma notation.

Explanation

Given:

The summation is given as,

12ln213ln3+14ln415ln5++1100ln100

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

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