SOLUTION: Insert two geometric means between 2xy and 16xy^4.

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Question 1039238: Insert two geometric means between 2xy and 16xy^4.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a%5B4%5D+=+16xy%5E4 and a%5B1%5D+=+2xy ==> r%5E3+=+8y%5E3 ==> r = 2y.
==> The two geometric means are a%5B2%5D+=+2xy%2A2y+=+4xy%5E2 and a%5B3%5D+=+4xy%5E2%2A2y+=+8xy%5E3