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Four Square Sum (Posted on 2024-05-07)

The sum of the squares of four consecutive integers is two less than a square number.

What is the mean of the four integers?

No Solution Yet Submitted by Danish Ahmed Khan

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| Comment 3 of 5 |

{0,1,2,3}

0 + 1 + 4 + 9 = 14

14 + 2 = 16 = 4^2

Mean = sum(0,1,2,3)/4 = 3/2

Also works if you negate each number.

{-3,-2,-1,0}

9 + 4 + 1 + 0 = 14 (2 less than a square)

Mean = sum(-3,-2,-1,0)/4 = -3/2

±3/2

Posted by Larry on 2024-05-07 10:44:00

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