Question

prove that the product of any two consecutive even natural is divisible by 4

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Answer 1

Answer:

Step-by-step explanation:

LET US TAKE TWO NUMBERS : 2n,2n+2

here i have taken 2n and 2n+2 because they are even consecutive natural numbers.The difference between these numbers should always be 2.

now lets multiply these numbers- (2n)(2n+2)= 4n^2+4n =4(n^2+n).

4(n^2+n) is always divisible by 4.

hence proved.

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