Prove That the Following Three Statements About Positive Integers N $n ^ { 3 } + 1$

question 98

Essay

Prove that the following three statements about positive integers n are equivalent: (a) n is even; (b) $n ^ { 3 } + 1$ is odd:
(c) $n ^ { 2 } - 1$ is odd

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Definitions:

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A U.S. naval base in Cuba, controversially known for its detention camp where suspected terrorists are held without trial.

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