– Prove that product of a two consecutive positive integers
is divisible by 2.​

2 thoughts on “<br />– Prove that product of a two consecutive positive integers<br />is divisible by 2.​”

1. Answer:

   2×3 =6

   it is divided by 2

   I hope this is helpful for you

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2. Step by step explanation

   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(2k2+3k+1)

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

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