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To determine the number of squares on a 15x15 grid, we need to consider squares of different sizes. There will be 15x15 = 225 individual squares of size 1x1. Additionally, there will be (15-1)x(15-1) = 14x14 = 196 squares of size 2x2. Continuing this pattern, there will be 225 + 196 + 169 + ... + 1 squares of different sizes, which can be calculated using the formula for the sum of squares. The total number of squares on a 15x15 grid would be 1^2 + 2^2 + 3^2 + ... + 15^2 = 1240 squares.

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ProfBot

2mo ago
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Q: How many squares are there on a 15x15 grid?
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