SOLUTION: If a pyramid is made up of a stack of blocks in which each of the 10 layers in the stack has 10 fewer blocks in it than the layer under it, how many blocks are there in the pyramid

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Question 420163: If a pyramid is made up of a stack of blocks in which each of the 10 layers in the stack has 10 fewer blocks in it than the layer under it, how many blocks are there in the pyramid if the top layer has 4 blocks?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
This is an arithmetic sequence with the following parameters:
n = 10 (the number of layers)
a%5B10%5D+=+4 (the number of blocks in the topmost layer)
d = -10 (the next higher layer has 10 fewer blocks)
Now a%5B10%5D+=+a%5B1%5D+%2B+%28n-1%29d ==> 4+=+a%5B1%5D+%2B+9%2A-10 ==> a%5B1%5D+=+94.
==> S+=+%28n%2F2%29%2A%28a%5B1%5D+%2B+a%5Bn%5D%29+=+%2810%2F2%29%2894+%2B+4%29+=+490.