Question

Prove that the product of three consecutive positive integers is divisible by 2

Answer 1

We know that every even no. is divisible by 2....and an even no. multiplied by another even no. is always even...so product of any 3 consecutive even integers will be even and divisible by 2

Answer 2

Answer:

Step-by-step explanation:

HOPE IT WILL HELP

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

Let x=2a (even)     and x+1 =2a+1(odd)

According to the given question

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

Case 1: if x is an even number

By putting the values

We have

=2a (a+1)

Check and divide the above expression by 2

= 2a (a+1)/2

We get a (a+1)

Hence it is clearly proved that the product of 2 integers are divisible by 2

Case 2: If x is an odd number

By putting the values x=2a+1

We have

Check: Divide the above expression by 2

We get

Hence proved

Read more on Brainly.in - https://brainly.in/question/1160708#readmore

Step-by-step explanation: