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Let x equal any odd number. x + 2 will be the next consecutive odd number. The sum, 2x + 2, describes an even number because two times anything non-zero is even and adding two to that is still even.

Visualize it. An odd bunch of anything is just an even bunch with one extra thing. Two odd bunches will be two even bunches plus two extra things. That pair of extra things makes the entire bunch even.

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Q: Why is the sum of two consecutive odd numbers always even?
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What are consecutive even or odd integers?

Consecutive even numbers are any even numbers which are separated by one (uneven) number... so that 6 and 8 are consecutive even numbers... as are 22, 24 and 26. Similarly, consecutive odd numbers are numbers which are separated by one (even) number... so that 11 and 13 are consecutive odd numbers... as are 31, 33 and 35.


What is the two consecutive numbers of 80?

This answer cannot be answered because two consecutive numbers consist of one odd number and one even number, and the sum of an odd number plus an even number is always 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.


Why is the sum of 2 consecutive integers always an odd number?

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._________________________________________________________________________I'm not going to but in or anything, seriously that was a good answer


The sum of three consecutive even integers that give you 151 and tha sum of three consecutive odd integers that give you 150?

There are no such answers. The sum of even numbers is even. The sum of odd numbers could be even, but the sum of three consecutive odd numbers is always odd. One could swap the questions to get potentially answerable questions: Sum of 3 consecutive EVEN integers = 150 48 + 50 + 52 = 150 unfortunately, we can already see that if we were to make these odd integers (add 1 to each), we would get 153, not 151. Sum of 3 consecutive ODD integers = 151 49 + 51 + 53 = 153 47 + 49 + 51 = 147 We can see that, whenever we slide our three consecutive integers up one, we raise the value of the sum up 3, and if we jump from odd to odd, or even to even, we raise each integer by 2, so we raise the sum by 6.

Related questions

Why 35 and 7 are the only three consecutive odd prime numbers?

If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.


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


The sum of two consecutive whole numbers is always?

Since one of the numbers will be even and the other odd, the sum will always be odd.


What types of numbers can always be written as the sum of two nonzero consecutive whole numbers?

ODD NUMBERS. If you take two consecutive whole (non zero) numbers then one will be an odd number and the other will be an even number. The sum of an odd number and an even number is always an odd number.


When you have a consecutive numbers will the mean and median always be the same?

If there are an odd # of consecutive numbers, they will. If there are an even # of numbers, the mean will be halfway between the two medians.


What are consecutive even or odd integers?

Consecutive even numbers are any even numbers which are separated by one (uneven) number... so that 6 and 8 are consecutive even numbers... as are 22, 24 and 26. Similarly, consecutive odd numbers are numbers which are separated by one (even) number... so that 11 and 13 are consecutive odd numbers... as are 31, 33 and 35.


What two consecutive number have a product of 324?

No two consecutive numbers have a product that is an even number. Any two consecutive numbers include one odd number and one even number. The product of one odd number and one even number is always an odd number.


What is the two consecutive numbers of 80?

This answer cannot be answered because two consecutive numbers consist of one odd number and one even number, and the sum of an odd number plus an even number is always an odd number.


What is the difference between two consecutive odd numbers?

The different between two different odd numbers are always an even number


How do you make 92 with consecutive numbers?

Adding consecutive pairs of numbers will always turn out to be an odd number. It would have to be consecutive odd numbers: 45 and 47.


What is the difference between the two odd numbers right after 20?

The difference is 2. (23 - 21 = 2).If we are talking about two odd numbers that come right after the number 20 then we mean the two consecutive odd numbers after 20.The difference between any consecutive odd numbers (or between any consecutive even numbers) is always 2.


What any two consecutive numbers add up to make 12?

Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.