Question

hi guys......

show that n, n+2 and n+4 is divisible by 3....​

Answer 1

Step-by-step explanation:

we applied eculid division algorithm on n and and 3A =bq+r on putting a=n and b=3 n=3q+r , 0<r<3

Answer 2

Step-by-step explanation:

We applied Euclid Division algorithm on n and 3.

a = bq +r

on putting a = n and b = 3

n = 3q +r , 0<r<3

n = 3q -------- (1)

n = 3q +1 --------- (2)

n = 3q +2 -----------(3)

n = 3q is divisible by 3

or

n +2 = 3q +1+2 = 3q +3

also divisible by 3

or

n +4 = 3q + 2 +4 = 3q + 6 is

also divisible by 3

Hence n, n+2 , n+4 are divisible by 3.