document.write( "Question 401351: A square checkerboard is made up of 36 alternately colored 1 inch by inch squares. What is the total number of squares that are visible on this checkerboard.(hint: count the 6 by 6 squares, then the 5 by 5 squares, and so on.) How many are visible on a checkerboard that has 64 alternately colored 1 inch by 1 inch squares? \n" ); document.write( "

Algebra.Com's Answer #284029 by richard1234(7193) $\"\"$ $\"About$

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On the 6x6 checkerboard, there is 1 6x6 square, 4 5x5 squares, 9 4x4 squares, ..., 36 1x1 squares. Therefore the number of total squares is\r
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\n" ); document.write( "\n" ); document.write( " $\"sum%28k%5E2%2C+k+=+1%2C+6%29+=+6%287%29%2813%29%2F6+=+91\"$ (applying the sum of squares formula)\r
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\n" ); document.write( "\n" ); document.write( "Likewise, with the 8x8 checkerboard, the total number of squares is\r
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\n" ); document.write( "\n" ); document.write( " $\"sum%28k%5E2%2C+k+=+1%2C+8%29+=+8%289%29%2817%29%2F6+=+204\"$ \n" ); document.write( "

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