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The sum of two even numbers is always an even number. The sum of two odd numbers is always an even number.
The sum of an even number and an odd number is always an odd number.
Because integers alternate between even and odd, adding two consecutive integers will always result the sum of an odd number and an even number, which, as stated above, will always be an odd number.
Another way to look at it:
An even number is divisible by 2, therefore, 2*n (where n is an integer) is always an even number.
2*n+1 would be the next number after 2*n (so 2*n & 2*n+1 are consecutive integers).
If we add these numbers together, we get 4*n+1 = 2(2*n)+1. Since 2(2*n) is an even number, adding 1 makes it an odd number.
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I'm not going to but in or anything, seriously that was a good answer
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∙ 13y ago
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What are consecutive integers with the sum of 116?
The sum of two consecutive integers will always be an odd number.
Will the product of two consecutive integers be odd or even?
It will alway be even, because it will always be the product of an odd and an even number, which is always even.
How do I find two consecutive odd integers that equal 255?
The sum of two consecutive odd integers is an even number. There is no possible answer to this question.
What are the consecutive odd integers of 152?
find the two consecutive odd integers with a sum of 152
If sum of two consecutive integers is 228 find the integers?
The sum of any two consecutive integers must be an odd number. So this question is incorrect.
What are consecutive integers with the sum of 116?
The sum of two consecutive integers will always be an odd number.
What are two consecutive integers add up to 26?
This is impossible, in mathematical terms. If you take two consecutive integers, then one of the integers must be odd and the other must be even. When you add an odd number to an even number, the result is always an odd number. Here, you said two consecutive integers add up to 26, which is an even number. Therefore, the answer is "No real solutions."
What are the two consecutive integers with a sum of 58?
There are no two consecutive integers that sum to 58. With two consecutive integers, one is even, the other is odd. The sum of an even number and an odd number is odd. 58 is even so cannot be the sum of two consecutive integers.
Will the product of two consecutive integers be odd or even?
It will alway be even, because it will always be the product of an odd and an even number, which is always even.
What are three consecutive odd integers whose sum is 336?
The sum of any three consecutive odd integers is going to give an odd result. It is impossible for the sum of an odd number of odd integers to equal an even number.
How do I find two consecutive odd integers that equal 255?
The sum of two consecutive odd integers is an even number. There is no possible answer to this question.
What are two consecutive numbers equal to 406?
Addition of two consecutive positive integers will always make an odd number. Therefore, this is an impossible sum.
Two consecutive odd integers?
There are not two consecutive odd integers. An integer is a whole number and consecutive is something that follows continuously/unbroken, logical sequence. All odd integers will have an even integer in between: 1, 2, 3, 4, 5...
The sum of three consecutive odd intrgers is 228 what are the inetgers?
This has no answer. The sum of three odd integers is always odd.
What are the consecutive odd integers of 152?
find the two consecutive odd integers with a sum of 152
What are two consecutive numbers that add up to 600?
The sum of consecutive integers will always be odd. Consecutive odd numbers will be even. 299 + 301 = 600
How many pairs of prime numbers are there which are consecutive odd integers?
There are an infinite number of prime numbers which are consecutive odd integers. Choose any natural number n. Take all primes up to any number n, take their product, and add 1 and subtract 1 from it. These 2 numbers are consecutive odd integers. eg 2*3*5*7 = 210 209 and 211 are primes which are consecutive odd integers.
