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 one year 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.
 one year 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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satellite73
 one year ago
Best ResponseYou've already chosen the best response.0Mathematical induction is used to prove statements about all real numbers. ? no it is for proving things about positive integers

Lcoohill
 one year ago
Best ResponseYou've already chosen the best response.0yes that what I thought for the first one !

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1I'm not absolutely sure about Q3  that statement must also be true for K = 1 so I think this is false.

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1 or only partly right.

Lcoohill
 one year ago
Best ResponseYou've already chosen the best response.0yes I think it is false but looking at my notes and its all worded differently

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1you 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
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