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Sum of Squares (
Posted on 2008-09-26
)
The sum of n+1 consecutive squares, beginning with the square of
n(2n+1), is equal to the sum of the squares of the next n consecutive integers.
n=1 3
2
+ 4
2
= 5
2
n=2 10
2
+ 11
2
+ 12
2
= 13
2
+ 14
2
. . .
Prove that the proposition holds for all integers greater than zero.
See The Solution
Submitted by
Bractals
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Comments: (
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Subject
Author
Date
more generalized solution
Daniel
2008-09-27 11:55:04
Solution
K Sengupta
2008-09-27 06:31:01
re(3): solution (spoiler) -- print SIGMA
Daniel
2008-09-26 19:27:47
re(2): solution (spoiler) -- print SIGMA
ed bottemiller
2008-09-26 19:17:37
re: solution (spoiler)
Daniel
2008-09-26 12:39:31
solution (spoiler)
Daniel
2008-09-26 12:35:54
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