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Math Help - Induction query

  1. #1
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    Induction query

    What's a counterexample in this context? Can anyone help with this question? "Find a counterexample for: 3^n +1 is divisible by 4."
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  2. #2
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    Quote Originally Posted by 14041471 View Post
    What's a counterexample in this context? Can anyone help with this question? "Find a counterexample for: 3^n +1 is divisible by 4."
    Well, if n = 2, then 3^n + 1 = 10, which is not divisible by 4.

    So you can say 2 is a counterexample to 3^n + 1 = 4.
    Whereas if n =1; 3^1 + 1 = 4, is an example.
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