Math, asked by sparsh7113, 8 months ago

prove that the product of two consecutive positive integer is divisible by 2​

Answers

Answered by godarpit123
2

Answer:

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Step-by-step explanation:

By Euclid's division lemma,

a=bq+r

Any integer can be 2q+1 or 2q

Let the integer be 2q

So, 2q*2q+1

= 2m

Let the integer be 2q+1

So, 2q+1*2(q+1)

=2(q+1*2q+1)

=2m

Hence proved

Answered by sanjumeenu9894
1

Hello buddy

Given :

Consider two numbers as X and X+1

To prove : their product is divisible by 2

Proof : X=2, X+1=3

=2*3

=6

Hence proved

I hope it helped you dude

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