Find an odd number using 4 counting numbers

Question

FindFind an odd number that can be expressed as the sum of four consecutive counting numbers

 

Answer 1

Yes, impossible.  Two even numbers added together equals an even number, and so do two odd numbers added together.  Since any four consecutive counting numbers will include two evens and two odds, iiiiimpossible.

Answer 2

I believe this is impossible because n + n + 1 + n + 2 + n + 3 = 4n + 6 which is always divisible by 2 and is therefore an even number.