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Counting Squares in a Grid
An n×n grid has 1² + 2² + … + n² squares
The Rule
- 1An n×n grid has n² squares of size 1, (n − 1)² of size 2, … and 1 of size n.
- 2Total = 1² + 2² + … + n² = n(n + 1)(2n + 1)/6.