Question

Show that of the numbers n, n+2 and n +4, only one of them is divisible by 3.
Show that, any positive integer is of the form 3q, 3q +1 or 3q +2, where q is some integer.
Show that 37 is an irrational number.
6.​

Answer 1

Answer:

Step-by-step explanation:

let n= 3q, 3q+1 or 3q+2 for a positive integer q

case 1 :

n=3q

I)

n=3q

which shows that 3 divides n

=>n is divisible by 3

ii)

n+2=3q+2

here , this leaves a remainder of 2

=>n+2 is not divisible by 3

iii)

n+4=3q+4

here this leaves a remainder if 4

it is not divisible by3