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Math Help - mathematical induction

  1. #1
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    mathematical induction

    I am wondering if mathematical induction can be classified into three types

    1.first principle of weak MI
    2.second principle of weak MI
    3.strong MI

    is that right?
    and what are the steps in the three types?
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  2. #2
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    Quote Originally Posted by rogerkitkit View Post
    I am wondering if mathematical induction can be classified into three types

    1.first principle of weak MI
    2.second principle of weak MI
    3.strong MI

    is that right?
    and what are the steps in the three types?
    All I know are the steps in the first principle of MI.

    1. Show that a given equation is true for n=1.
    2. Assume that it is true for n= k.
    3. Then, show that it is true for n = k+1.

    After showing that the given equation is true n= k+1, you can now conclude that the equation is true for all n > or = to 1
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  3. #3
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    Quote Originally Posted by mamen View Post
    All I know are the steps in the first principle of MI.

    1. Show that a given equation is true for n=1.
    2. Assume that it is true for n= k.
    3. Then, show that it is true for n = k+1.

    After showing that the given equation is true n= k+1, you can now conclude that the equation is true for all n > or = to 1
    so what if the second principle?
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