Question

its a real no.s question

Answer 1

soln:-
we know that,
any +ive int. in the form of 3q or 3q+1 or 3q+2

case 1:- 3q

n=3q is divisible by 3
since, 3 is a multiple of 3

n+1=3q+1 is not divisible by 3

n+2=3q+2 is not divisible by 3

case 2:- 3q+1

n=3q+1is not divisible by 3

n+1=3q+2 is not divisible by 3

n+2=3q+3
=3(q+1)
=3m,where m=(q+1)
3m is divisible by 3
since, 3 is multiple by 3

case 3:-3q+2

n=3q+2 is not divisible by 3

n+1=3q+3
=3(q+1)
=3m,where m=(q+1)
3m is divisible by 3
since, 3 is a multiple of 3

n+2=3q+4 is not divisible by 3


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