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Constant second set of differences for unit input increment

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Prove that if f(x)= ax^2 + bx + c , then if the input goes up by one then the second set of differences will be constant and the constant will equal (2!)a. Think about how to prove this in general. Do not make unnecessary assumptions about any initial input.

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Solution Summary

Solution briefly mentions the meaning of first and second set of differences and then goes onto showing the required property of given equation.

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First set of differences are taken between values of f(x), and second set of differences are taken between ...

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