SOLUTION: I need to find the closed form of this recursive function: a(n)= 5*a(n-1) where a(0) is the initial value?

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Question 62313: I need to find the closed form of this recursive function: a(n)= 5*a(n-1) where a(0) is the initial value?
Answer by joyofmath(189) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find the closed form of this recursive function: a(n)= 5*a(n-1) where a(0) is the initial value?
Let's look at a few terms of the series to look for the pattern:
a%5B1%5D=5%2Aa%5B0%5D.
a%5B2%5D=5%2Aa%5B1%5D=5%2A%285%2Aa%5B0%5D%29.
a%5B3%5D=5%2Aa%5B2%5D=5%2A%285%2A%285%2Aa%5B0%5D%29%29.
a%5B4%5D=5%2Aa%5B3%5D=5%2A%285%2A%285%2A%285%2Aa%5B0%5D%29%29%29.
The pattern is that a%5Bn%5D+=+5%5En%2Aa%5B0%5D.