document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #43150 by joyofmath(189) $\"\"$ $\"About$

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I need to find the closed form of this recursive function: a(n)= 5*a(n-1) where a(0) is the initial value?\r
\n" ); document.write( "\n" ); document.write( "Let's look at a few terms of the series to look for the pattern:\r
\n" ); document.write( "\n" ); document.write( " $\"a%5B1%5D=5%2Aa%5B0%5D\"$ .
\n" ); document.write( " $\"a%5B2%5D=5%2Aa%5B1%5D=5%2A%285%2Aa%5B0%5D%29\"$ .
\n" ); document.write( " $\"a%5B3%5D=5%2Aa%5B2%5D=5%2A%285%2A%285%2Aa%5B0%5D%29%29\"$ .
\n" ); document.write( " $\"a%5B4%5D=5%2Aa%5B3%5D=5%2A%285%2A%285%2A%285%2Aa%5B0%5D%29%29%29\"$ .\r
\n" ); document.write( "\n" ); document.write( "The pattern is that $\"a%5Bn%5D+=+5%5En%2Aa%5B0%5D\"$ . \n" ); document.write( "

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