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Chapter 12: Q. 52 (page 1174)

In the following exercise, expand the partial sum and find its value

鈭�i=163i鈭�2

Short Answer

Expert verified

Hence,

1+4+7+10+13+16=51

Step by step solution

01

Step 1. Given information

Thepartialsumisgivenas鈭�i=163i鈭�2Wehavetoexpandandfindthevalueofthepartialsum.

02

Step 2. Expanding the partial sum

Wesubstitutethevalues1,2,3,4,5,6inorder鈬�鈭�i=163i鈭�2=3鈰�1鈭�2+3鈰�2鈭�2+3鈰�3鈭�2+3鈰�4鈭�2+3鈰�5鈭�2+3鈰�6鈭�2=3鈭�2+6鈭�2+9鈭�2+12鈭�2+15鈭�2+18鈭�2=1+4+7+10+13+16

03

Step 3. Calculating the terms

Now,

鈬�鈭�i=163i鈭�2=1+4+7+10+13+16=51

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