SOLUTION: Find the missing term a8 for {-1/250, -1/50, -1/10...}

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Question 1032908: Find the missing term
a8 for {-1/250, -1/50, -1/10...}

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
This is a geometric sequence a%5Bn%5D with a%5B1%5D+=+-1%2F250 and common ratio r = 5.
The general nth term for a geometric sequence is a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29.
==> a%5B8%5D+=+%28-1%2F250%29%2A5%5E%288-1%29+=+-625%2F2.