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Number of Squares in a Square

n
10
1+4+9+16+25+36+49+64+81+100
=
385
How many squares can you find in the grid? This Demonstration shows how these three things are related: the concept of a square number, a visual puzzle, and the formula for the sum of the first
n
square numbers, which is
1
6
n(n+1)(2n+1)
.
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