Question

Show that exactly ome of the numbers n,n+2,n+4 is divisible by 3

Answer 1

Step-by-step explanation:

Let us consider n = 1 ,

Therefore ,

when we put n = 1 in the first case i.e

n

= 1 ( since n = 1 , and 1 isn't divisible by 3 )

when we put n = 1 in the second case i.e

n + 2

= 1 + 2

= 3 ( divisible by 3 )

when we put n = 1 in the third case i.e

n + 4

= 1 + 4

5 ( it isn't divisible by 3 )

Similarly if we consider n = 2 ,

the cases will be ,

n = 2 ( not divisible by 3 )

n + 2 = 2 + 2 = 4 ( not divisible by 3 )

n + 4 = 2 + 4 = 6 ( divisible by 3 )

Hence we conclude that , exactly one of the numbers n , n+1 , and n+ 2 is divisible by 3