   Chapter 13.CR, Problem 46E ### 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

# 45-48 Sigma Notation Write the sum using sigma notation. Do not evaluate. 1 2 + 2 2 + 3 2 + ⋯ + 100 2

To determine

The sum of 12+22+32++1002 using sigma notation.

Explanation

Approach:

The sum of first n terms of any sequence can be written as 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 integer 0, 1, 2, ..., n

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