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Math Help - Concluding sentence of a" proof by mathematical induction"-problem.

  1. #1
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    Concluding sentence of a" proof by mathematical induction"-problem.

    Question: What do I write in the conclusion (last statement) of a proof by mathematical induction? (first year of college level)

    Something including n=1, p(k), p(k+1) and P(n) i think... but I am not sure how the structure of the sentence should be. I need help on this!

    Also, do I have to mention that it is proved by "the principle of mathematical induction"?
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  2. #2
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    You prove that P(k) \Rightarrow P(k+1) is true. Then write "According to the Principle of Mathematical Induction P(n) is true for any natural (unzero) n".
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