Question

prove that two consecutive number is divisible by 2​

Answer 1

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YES IT IS NOT POSSIBLE

Step-by-step explanation:

BECAUSE SUPPOSE 34,35

SO ONE IS EVEN AND OME IS ODD

NOT possible

SO IT IS NOT POSSIBLE

NOT POSSIBLE S O IT

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Answer 2

Answer:

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Let the two consecutive positive integers be x and x+1

Let x=2(even) and x+1

=2a+1(odd)

According to your question

Product of two integers (x) (x+1)

$= x {}^{2} + x$

Case:it x is an even number

By putting the values

We have

$x {}^{2} + x = 2 {a }^{2} + 2a \\ = 2a + (a + 1)$

Check and divide the expression by 2.

$= 2a(a + 1) \div 2$

We get a(a+1)

Hence it is clearly proved that the product is divisible by 2..

Hope it's help⬆️.

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