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Chapter 12: Q. 58 (page 1174)

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

鈭�k=15k2k鈭�3

Short Answer

Expert verified

Hence,

鈭�k=15k2k鈭�3=鈭�1鈭�2+9+20+35=61

Step by step solution

01

Step 1. Given information

Thepartialsumisgivenas鈭�k=15k2k鈭�3Wehavetoexpandandfindthevalueofthepartialsum.

02

Step 2. Expanding the partial sum

鈬�鈭�k=15k2k鈭�3=12鈰�1鈭�3+22鈰�2鈭�3+32鈰�3鈭�3+42鈰�4鈭�3+52鈰�5鈭�3=12鈭�3+24鈭�3+36鈭�3+48鈭�3+510鈭�3=1鈭�1+2鈭�1+33+45+57=鈭�1鈭�2+9+20+35

03

Step 3. Calculating the sum

Now,

鈬�鈭�k=15k2k鈭�3=鈭�1鈭�2+9+20+35=61

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