Math, asked by jaidevniralagmailcom, 10 months ago

6. Prove that one and only one out of n, (n + 2) and (n + 4) is divisible by 3 where, n is any positive integer.

Answers

Answered by ganesh200668
1

Answer:

Here is your answer.

Step-by-step explanation:

    Let a be any positive number,b=3

      By Euclid division lemma

a=bq+r, r<=0<b

a=3q+r,r=0,1,2

a=3q,3q+1,3q+2

If a=3q,

n=3q is divisible by 3

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

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

If a=3q+1,

n=3q+1 is not divisible by 3

n+2=3q+3 is divisible by 3

n+4=3q+5 is not divisible by 3

If a=3q+2,

n=3q+2 is not divisible  by 3

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

n+4=3q+6 is divisible by 3

       One and only one out of n,n+2,n+4 is divisible by 3

                     Hope you like it.Please add me to brainliest.

                Thank you...........................................

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