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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

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 1 2 + 1 2 3 + 1 3 4 + + 1 999.1000

To determine

The sum of 112+123+134++1999.1000 using sigma notation.

Explanation

Given:

The summation is given as,

112+123+134++1999.1000

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:

Each number in the denominator has two consecutive numbers multiplied together.

The sigma notation for the above sum is,

112+123+134++1999

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