SOLUTION: Find the closed form of the following recursive function: a(n)=5*a(n-1) where a(0) is the initial value.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the closed form of the following recursive function: a(n)=5*a(n-1) where a(0) is the initial value.      Log On


   

Question 62635: Find the closed form of the following recursive function: a(n)=5*a(n-1) where a(0) is the initial value.
Answer by joyofmath(189) About Me  (Show Source):
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Find the closed form of the following recursive function: a(n)=5*a(n-1) where a(0) is the initial value.
a%5B1%5D=5%2Aa%5B0%5D.
a%5B2%5D=5%2A5%2Aa%5B0%5D=5%5E2%2Aa%5B0%5D.
a%5B3%5D=5%2A5%2A5%2Aa%5B0%5D=5%5E3%2Aa%5B0%5D.
In general, a%5Bn%5D=5%5En%2Aa%5B0%5D.