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Is the sum of an even whole number and an odd whole number always odd?
Yes --------------------------------------------- Let n be an integer. Then 2n is an even number Let m be an integer. Then 2m is an even number and 2m + 1 is an odd number. Then: even + odd = (2n) + (2m + 1) = (2n + 2m) + 1 = 2(n + m) + 1 = 2k + 1 (where k = m + n) which is an odd number.
The product of an odd and an even number always odd?
odd x even = even (2n + 1)(2n) = 2[n(2n + 1)] let n(2n + 1) = t = 2t (even)
What is the Chromatic number of a cycle graph?
3 if n is odd 2 if n is even where n is the number of vertices.
Program for check a number is even or odd using PYTHON language?
This program checks whether a number is odd or even. NOTE: This site removes formatting from answers. Replace (tab) with a tab or four spaces. #!/usr/bin/python print("Type a number.") n = input(": ") l = len(n)-1 even = ("02468") if n[l] in even: (tab)print(n, "is even.") if n[l] not in even: (tab)print(n, "is odd.")
What is an odd number multiplied by an odd number?
A definition of an odd number is 2n-1 where n is any integer. The product of two odd numbers is thus (2n-1)(2p-1) for any numbers n and p. Expanding the expression yields 2(2pn -(p+n)) + 1. The term on the left is even by definition. Adding 1 to any even number is, by definition, an odd number. Therefore, the conclusion is elementary (Watson); the product of two two odd numbers is an odd number
