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Math Help - Abstract Math proof

  1. #1
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    Abstract Math proof

    If a_n <= a_(n+1) for all n, show a_i <= a_n for all n
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  2. #2
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    Quote Originally Posted by natester View Post
    If a_n <= a_(n+1) for all n, show a_i <= a_n for all n
    As written, the statement is not true.
    Is a_{10} \le a_n for \forall n ?
    Well of course not!
    So there must be more to the statement of this problem than you have told us.
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  3. #3
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    sorry I input the wrong thing. Instead of show a_i <= a_n for all n, it should be show a_1 <= a_n for all n. I also need to use induction to solve for it.
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  4. #4
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    Quote Originally Posted by natester View Post
    sorry I input the wrong thing. Instead of show a_i <= a_n for all n, it should be show a_1 <= a_n for all n. I also need to use induction to solve for it.
    Actually it occurred to me that you might have meant that.
    But because it makes it such a trivial question, I though surely not.
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  5. #5
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    Yes that made it a lot easier. But thank you anyways
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