Prove that the sum of four consecutive whole numbers is always even.

In your working, let your first number be n.

Question

Mathematics

Alicia Matthews

15 November, 14:25

Prove that the sum of four consecutive whole numbers is always even.

In your working, let your first number be n.

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Answers (1)

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Pugsley · Answer 1

Step-by-step explanation:

hello:

let four consecutive whole numbers : n, n+1, n+2, n+3

the sum is : n + n+1 + n+2 + n+3 = 4n+6

you can write 4n+6 to the form : 2 (2n+3) means 2k (k=2n+3)

so even number

Prove that the sum of four consecutive whole numbers is always even.In your working, let your first number be n.

Prove that the sum of four consecutive whole numbers is always even.

In your working, let your first number be n.