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Earn +20 ptsQ: Will the sum of 6 consecutive numbers always be divisble by 3?
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Is the sum of two consecutive odd numbers is always divisble by 4?
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.
What is the sum of three consecutive numbers always?
The sum is always 3 more than (triple the smallest number).
Why is the sum of four consecutive numbers always even?
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 three consecutive numbers is always?
A multiple of 3 Also a multiple of 6.
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.
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