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Let x, y and z be even numbers. This means that (x + 1), (y + 1) and (z + 1) are all odd. Adding these three odd numbers gives (x + y + z + 3). Because the sum of any number of evens must be even as well - which can be easily proven with idea that where a = 2m and b = 2n, a + b = 2m + 2n = 2(m + n), and is even - adding 3 changes it to an odd number. This holds for any set of three odd numbers.

i agree with this... but what about in the form of 2n+1?

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2010-02-20 20:20:14
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Why is the sum of three odd numbers odd?
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Will the sum of 3 odd numbers be even?

No, the sum of three odd numbers will always be odd.


What three different odd numbers make 20?

If you mean "the sum of three odd numbers", that isn't possible. The sum of three odd numbers will always be an odd number.


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The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc


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The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.


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The sum of three odd numbers will be odd, whether they are prime or not. The sum of three prime numbers can be even as long as one of them is 2.


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I guess you want three odd numbers that, when added, give a sum of 30. That is not possible: if you add three odd numbers, the sum will always be odd.


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