Determine whether the proposed definition is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. If f is well defined, find a formula for f(n) when n is a nonnegative integer and prove that your formula is valid.  f(0) = 1, f(n) = −f(n − 1) for n ≥ 1

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 7SA
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Determine whether the proposed definition is
a valid recursive definition of a function f from the set
of nonnegative integers to the set of integers. If f is well
defined, find a formula for f(n) when n is a nonnegative
integer and prove that your formula is valid.

 f(0) = 1, f(n) = −f(n − 1) for n ≥ 1

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