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Chapter 12: Q. 51 (page 1174)

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

鈭�i=162i+3

Short Answer

Expert verified

Hence,

鈭�i=162i+3=5+7+9+11+13+15=60

Step by step solution

01

Step 1. Given information

Thepartialsumisgivenas鈭�i=162i+3Wehavetoexpandandfindthevalueofthepartialsum.

02

Step 2. Expanding the partial sum

Wesubstitutethevalues1,2,3,4,5,6inorder

鈬�鈭�i=162i+3=2鈰�1+3+2鈰�2+3+2鈰�3+3+2鈰�4+3+2鈰�5+3+2鈰�6+3=2+3+4+3+6+3+8+3+10+3+12+3=5+7+9+11+13+15
03

Step 3. Calculating the sum

Now,

鈬�鈭�i=162i+3=5+7+9+11+13+15=60

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