   Chapter 13.1, Problem 69E ### 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

# 67-74 ■ Sigma Notation Write the sum using sigma notation. 1 2 + 2 2 + 3 2 + ⋯ + 10 2

To determine

The sum of 12+22+32++102 using sigma notation.

Explanation

Given:

The summation is given as,

12+22+32++102

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 contains the square of natural numbers from 1 to 10

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