Asked by sejal2208 | 25th Feb, 2010, 05:13: PM
let the cons integers be
n-1, n , n+1, n+2, n+3, n+4...
n-1 is divi by 3
then n-1=3p for some integer p.
which clearly will leave a remainder of 1 and 2 respectively when divided by 3, so out of the first three numbers only n-1 is divisible by 3.
the next numeber is n+2=3p+1+2=3p+3=3(p+1) which is clearly divi by 3.
similarly if n-1 is not divi by 3 then you can assume that n is divi by 3 and show that n+1 is also not divi by 3.
which will serve the purpose.
hence the answer.
Answered by | 25th Feb, 2010, 05:32: PM
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