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Earn +20 ptsQ: What statement is true of all integers?
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If some numbers are integers and some integers are prime then all numbers are definitely prime is this a true statement?
No.
What is proof by induction?
Mathematical induction is just a way of proving a statement to be true for all positive integers: prove the statement to be true about 1; then assume it to be true for a generic integer x, and prove it to be true for x + 1; it therefore must be true for all positive integers.
What is the negation of a statement all integers are odd?
All integers are not odd.
Is the statement 14n -1 is divisible by 13 true for all positive integers?
No. It's not true for n=2, where 14n - 1 = 28 - 1 = 27, which is not
What is induction in math term mean?
It is a method of proving a statement for all values of a variable - usually for all integers. Often, the process is as follows: Prove the statement for n = 1 Assume that the statement is true for n = k and prove that, in that case, it must be true for n = k+1. Invoke the law of induction to assert that it is true for all [integer] values of n.
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