prove that

Asked by Sonal13 | 11th May, 2009, 07:16: PM

Expert Answer:

To prove: Product of any two positive consecutive integer is divisible by 2

Proof: Since the two number are consecutive. So one of them should be even.

Let the two numbers be 2x and 2x+1

Product of the two numbers = 2x (2x+1)

                                                   = 2(x2 +1), which is divisible by 2.

Hence Proved.

This result can also be proved by mathematical induction.

 

 

Answered by  | 12th May, 2009, 12:37: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.