SOLUTION: A pyramid of blocks is built in layers. The bottom layer has 6 to the 2 or 36 blocks. The next layer is 5 to the 2 or 25 blocks and so on until the top layer has 1 block. How

Algebra ->  Equations -> SOLUTION: A pyramid of blocks is built in layers. The bottom layer has 6 to the 2 or 36 blocks. The next layer is 5 to the 2 or 25 blocks and so on until the top layer has 1 block. How       Log On


   

Question 1049265: A pyramid of blocks is built in layers. The bottom layer has 6 to the 2 or 36 blocks. The next layer is 5 to the 2 or 25 blocks
and so on until the top layer has 1 block. How many blocks are there in all?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
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 = 6%2A7%2A%282%2A6%2B1%29%2F6 = calculate it yourself.


1^2 + 2^2 + 3^2 + . . . + n^2 = %28n%2A%28n%2B1%29%2A%282n%2B1%29%29%2F6.


See the lesson

    - Mathematical induction for sequences other than arithmetic or geometric

in this site.