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Earn +20 ptsQ: Prove 2a-1 is odd
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How do you use inductive reasoning to prove the product of an odd integer and an even integer will always be even?
The product of an odd and even number will always have 2 as a factor. Therefore, it will always be even.
How do you prove 2n is the sum of two odd consecutive integers?
2n can be split into 2 n's so: n+n then add one to one of the n's and subtract one from one of the n's n+1+n-1 ^two consecutive odd integers^
Suppose x and y are odd prove xy is odd?
Write x and y in terms of integers, which we call a and b. For some integer, x = 2a + 1 y = 2b + 1 Multiplying them, you get: xy = (2a+1)(2b+1) = 4ab + 2a + 2b + 1 Since the first terms are even, adding one makes the final result odd.
If you add 3 to an even number the sum would be odd or even?
Odd. Even + Even = Even Odd + Odd = Even Odd + Even = Even + Odd = Odd
Is 49 even or odd?
49 is an odd number numbers ending in 1,3,5,7,9 are odd.
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