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Prove That the Following Three Statements About Positive Integers N  (b) n3+1 is \text { (b) } n ^ { 3 } + 1 \text { is }

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Prove that the following three statements about positive integers n are equivalent: (a) n is even;  (b) n3+1 is \text { (b) } n ^ { 3 } + 1 \text { is } odd;  (c) n21 is odd. \text { (c) } n ^ { 2 } - 1 \text { is odd. }


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