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Lcoohill

  • 3 years ago

True (T) or False (F)? Q1. Mathematical induction is used to prove statements about all real numbers. ? Q2. Mathematical induction differs form the kind of induction used in the experimental sciences because it is actually a form of deductive reasoning. Q3. A proof by mathematical induction involves an inductive step, where it is shown that a statement P(k) about a natural number k is true only if the statement P(k+1) about its successor k+1 is true. Q4. For a proof by mathematical induction, it is sufficient to check one base case explicitly.

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  1. anonymous
    • 3 years ago
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    Mathematical induction is used to prove statements about all real numbers. ? no it is for proving things about positive integers

  2. Lcoohill
    • 3 years ago
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    yes that what I thought for the first one !

  3. cwrw238
    • 3 years ago
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    I'm not absolutely sure about Q3 - that statement must also be true for K = 1 so I think this is false.

  4. cwrw238
    • 3 years ago
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    - or only partly right.

  5. Lcoohill
    • 3 years ago
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    yes I think it is false but looking at my notes and its all worded differently

  6. cwrw238
    • 3 years ago
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    you must prove that if the statement is true for a number kthen it is also true for k + 1 so if it is shown to be true for k = 1 then it must be tur for k = 2, 3 and so on

  7. cwrw238
    • 3 years ago
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    Q2 is true

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