Question

the product of two consecutive numbers is divisible by 2​

Answer 1

Answer:

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➡Let the 2 consecutive numbers be, x,x+1

➡product of these consecutive numbers, =x(x+1)

➡(1) even

➡let, x=2k

➡product =2k[2k+1]

➡from above equation it is clear that the product is divisible by 2

➡(2) odd

➡let, x=2k+1

➡product =(2k+1)[(2k+1)+1]

$= 2(2 {k}^{2} + 3k + 1)$

➡from above equation it is clear that the product is divisible by 2

Step-by-step explanation:

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Answer 2

Answer:

yes the product of two consecutive numbers is divisible by two