Q: Will the sum of 6 consecutive numbers always be divisble by 3?

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Yes. Let the two consecutive odd numbers be (2n - 1) and (2n + 1) for all values of integer n (ie n ∈ ℤ) Then their sum is: sum = (2n - 1) + (2n + 1) = 2n + 2n = (2 + 2)n = 4n = a multiple of 4, so is divisible by 4.

The sum is always 3 more than (triple the smallest number).

If n is the first number, n + n + 1 + n + 2 + n + 3 will be the sum, which is 4n + 6. 4n is always even, and 6 is even. Therefore, the sum of four consecutive numbers is always even.

A multiple of 3 Also a multiple of 6.

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.

Related questions

No, the sum of two consecutive numbers is always an odd number, and is not divisible by two.

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.

Yes. Let the two consecutive odd numbers be (2n - 1) and (2n + 1) for all values of integer n (ie n ∈ ℤ) Then their sum is: sum = (2n - 1) + (2n + 1) = 2n + 2n = (2 + 2)n = 4n = a multiple of 4, so is divisible by 4.

The sum is always 3 more than (triple the smallest number).

The sum of consecutive integers will always be odd. Consecutive odd numbers will be even. 299 + 301 = 600

If n is the first number, n + n + 1 + n + 2 + n + 3 will be the sum, which is 4n + 6. 4n is always even, and 6 is even. Therefore, the sum of four consecutive numbers is always even.

The sum of any two consecutive whole numbers is always odd, and equal to one more than twice the first number (2x+1).

A multiple of 3 Also a multiple of 6.

There are no two consecutive whole numbers that sum to 142.With two consecutive whole numbers, one is even and the other odd, and their sum will be odd, but 142 is even.Two consecutive even numbers that sum to 142 are 70 and 72.

No

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.