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Quadratic Functions

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Uploaded by MMRHS Math Help on 2014-05-13.

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f(n)=n²+1

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f(n)=f(n-1)+2n-1

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Because the 2nd difference is constant (2)

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x  y 1st 2nd
0  1 x x
1  4 3 x
2  9 5 2
3  16 7 2
4  25 9 2

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f(n)=2(2)^n-1

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Because the common ratio is 2

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f(n)=f(n-1)x2
f(0)=2

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x y
0 2
1 4
2 8
3 16
4 32

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f(n)=2n+1

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f(n)=f(n-1)+2
f(0)=1

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Because the common difference is 2

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x y
0 1
1 3
2 5
3 7
4 9

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By Nick Oden