document.write( "Question 1179832: If f(1)=3 and f(n)=−4f(n−1) then find the value of f(5). \n" ); document.write( "

Algebra.Com's Answer #809429 by MathLover1(20850) $\"\"$ $\"About$

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If $\"f%281%29=3\"$ and $\"f%28n%29=-4f%28n-1%29+\"$ then find the value of $\"+f%285%29\"$ \r
\n" ); document.write( "\n" ); document.write( "This is a recursive formula which means it requires a previous output of the function to determine the next output. So find $\"f%282%29\"$ based on the fact that you know what $\"f%281%29+\"$ is. Then you can find $\"f%283%29\"$ , then $\"f%284%29\"$ , and finally $\"+f%285%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "if $\"f%281%29=3+\"$ , then
\n" ); document.write( " $\"f%282%29=-4f%282-1%29\"$
\n" ); document.write( " $\"f%282%29=-4f%281%29\"$
\n" ); document.write( " $\"f%282%29=-4%2A3\"$
\n" ); document.write( " $\"f%282%29=-12\"$ \r
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\n" ); document.write( "\n" ); document.write( "if $\"f%282%29=12\"$ , then
\n" ); document.write( " $\"f%283%29=-4f%283-1%29\"$
\n" ); document.write( " $\"f%283%29=-4f%282%29\"$
\n" ); document.write( " $\"f%283%29=-4%28-12%29\"$
\n" ); document.write( " $\"f%283%29=48\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if $\"f%283%29=48\"$ , then \r
\n" ); document.write( "\n" ); document.write( " $\"f%284%29=-4f%284-1%29\"$
\n" ); document.write( " $\"f%284%29=-4f%283%29\"$
\n" ); document.write( " $\"f%284%29=-4%2A48\"$
\n" ); document.write( " $\"f%284%29=-192\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if $\"f%284%29=-192\"$ , then \r
\n" ); document.write( "\n" ); document.write( " $\"f%285%29=-4f%285-1%29\"$
\n" ); document.write( " $\"f%285%29=-4f%284%29\"$
\n" ); document.write( " $\"f%285%29=-4%28-192%29\"$
\n" ); document.write( " $\"f%285%29=768\"$ \r
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