CBSE Class 10 Answered
soon answer!!EXAMS ARE VERY VERY VERY CLOSE
Asked by nishant27_c | 15 Jan, 2010, 03:07: PM
Expert Answer
To prove n , n+2 or n+4 is divisible by 3,
Case 1 Let n is divisible by 3
So n = 3k for some positive integer k
Now n+2 = 3k+2 which is not divisible by 3
n+4 = 3k +3+1 =3(k+1)+1 =3m+1 not divisible by 3
Case 2 n+2 is divisible by 3 so
n+2 =3k
so n =3k-2 not divisible by 3
n+4 = 3k+2 = not divisible by 3
Case 3: Let n+4 is divisible by 3 so n+4 = 3k
n =3k-4=3(k-1)-1=3m-1 not divisible by 3
n+2 = 3k-2 not divisible by 3
Answered by | 15 Jan, 2010, 03:19: PM
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