document.write( "Question 267031: Find the 1st 5 values of the recursive function, then find their 1st and 2nd differences, then state wheather the recursive function has a linear model, quadratic model or neither. f(0)=-2, f(n)=f(n-1)+2n \n" ); document.write( "

Algebra.Com's Answer #196060 by drk(1908) $\"\"$ $\"About$

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f(0) = -2
\n" ); document.write( "f(1) = -2 + 2(1) = 0
\n" ); document.write( "f(2) = 0 + 2(2) = 4
\n" ); document.write( "f(3) = 4 + 2(3) = 10
\n" ); document.write( "f(4) = 10 + 2(4) = 18
\n" ); document.write( "f(5) = 18 + 2(5) = 28
\n" ); document.write( "-----
\n" ); document.write( "first differences: 2, 4, 6, 8, 10
\n" ); document.write( "second differences: 2, 2, 2, 2
\n" ); document.write( "-----
\n" ); document.write( "this is a quadratic model. \n" ); document.write( "

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