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A pyramid of blocks is built in layers. The bottom layer has 6^2 or 36 blocks. The next layer is 5^2 or 25 blocks
and so on until the top layer has 1 block. How many blocks are there in all?
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1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 = = calculate it yourself.
1^2 + 2^2 + 3^2 + . . . + n^2 = .
See the lesson
- Mathematical induction for sequences other than arithmetic or geometric
in this site.