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Chapter 4: Q. 17 (page 403)

Fill in the blanks to complete each sum formula:

鈭�k=1nk2=

Short Answer

Expert verified

The complete sum formula is鈭�k=1nk2=n(n+1)(2n+1)6.

Step by step solution

01

Step 1. Given information.

Given incomplete sum formula is following.

鈭�k=1nk2=

02

Step 2. Explanation.

If n is a positive integer, then by the induction method sigma notation for k2will be following.

role="math" localid="1648775750262" 鈭�k=1nk2=n(n+1)(2n+1)6

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