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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
 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
 one year ago

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satellite73Best ResponseYou've already chosen the best response.0
Mathematical induction is used to prove statements about all real numbers. ? no it is for proving things about positive integers
 one year ago

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

cwrw238Best ResponseYou've already chosen the best response.1
I'm not absolutely sure about Q3  that statement must also be true for K = 1 so I think this is false.
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
 or only partly right.
 one year ago

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

cwrw238Best ResponseYou've already chosen the best response.1
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
 one year ago
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