Question

The product of 3 consecutive integer is divisible by 6

Answer 1

hi

aim :to show that The product of 3 consecutive integer is divisible by 6

let the integegers be n

then other 2

n +1 : n +2

now,

let n be 2

then 2 * [2 +1] *[ 2*2]

=>2 * 3*4

=> 24

now 24 / 6

= 4

hence The product of 3 consecutive integer is divisible by 6

hope it helps u

:)

Answer 2

let the first consecutive integer = x
then the second consecutive integer = x +1
then the third consecutive integer = x +2
ATQ
x + x+1 +x+2 =6
3x+3 =6
3x =6-3
3x = 3
x = 3/3
x = 1


so the first consecutive integer =x
=1
second consecutive integer =x+1 = 1+1 =2
third consecutive integer = x+2. = 1+2 3
so the integers are 1 2 3