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Chapter 12: Q. 57 (page 1174)

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

鈭�k=15kk+1

Short Answer

Expert verified

Hence,

鈬�鈭�k=15kk+1=2+6+12+20+30=70

Step by step solution

01

Step 1. Given information

Thepartialsumisgivenas鈭�k=15kk+1Wehavetoexpandandfindthevalueofthepartialsum.

02

Step 2. Expanding the partial sum

Wesubstitutethevalues1,2,3,4,5inorder鈬�鈭�k=15kk+1=11+1+22+1+33+1+44+1+55+1=12+23+34+45+56=2+6+12+20+30

03

Step 3. Calculating the sum

Now,

鈬�鈭�k=15kk+1=2+6+12+20+30=70

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