Asked by Sonal13 | 11th May, 2009, 07:16: PM
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.
This result can also be proved by mathematical induction.
Answered by | 12th May, 2009, 12:37: PM
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