Q: Is the sum of two consecutive numbers always divisible by 2?

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The sum of three consecutive odd numbers must be divisible by 3. As 59 is not wholly divisible by 3 the question is invalid. PROOF : Let the numbers be n - 2, n and n + 2. Then the sum is 3n which is divisible by 3. If the question refers to three consecutive numbers then a similar proof shows that the sum of these three numbers is also divisible by 3. Again, the question would be invalid.

yes always this is true' example 1,2,3 sum is 6 and is divisible by 3

The sum of 3 consecutive whole numbers is always equal to 3 times the middle number in that sequence.

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

Any three consecutive integers are divisible by three because it can be shown that the sum divided by three is the middle number.

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There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.

The sum of three consecutive odd numbers must be divisible by 3. As 59 is not wholly divisible by 3 the question is invalid. PROOF : Let the numbers be n - 2, n and n + 2. Then the sum is 3n which is divisible by 3. If the question refers to three consecutive numbers then a similar proof shows that the sum of these three numbers is also divisible by 3. Again, the question would be invalid.

There is no possible answer. The sum of two consecutive even numbers MUST leave a remainder of 2 when divided by 4. That is, the sum must be divisible by 2 but must not be divisible by 4.

Yes, that is true.

yes always this is true' example 1,2,3 sum is 6 and is divisible by 3

The sum of 3 consecutive whole numbers is always equal to 3 times the middle number in that sequence.

Three consecutive whole numbers can be written as x, x + 1 and x + 2. Added together, their sum can be written as 3x + 3. Not only is that sum divisible by three, but by doing so [3(x + 1)] you can see that the sum is also equal to three times the second number.

The sum of any three consecutive even numbers must be divisible by 3. 32 is not, so there is no solution.

5+2+1=8 and 8 is not divisible by 3.

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

Any three consecutive integers are divisible by three because it can be shown that the sum divided by three is the middle number.

There is no solution. You could do it if the numbers were odd: 25 and 27 are consecutive odd numbers that equal 52.