sometimes true.

if 3 is the first term and 2 is the common difference then the sequence goes like this, 3,5,7,9,11........

but how about if the first term is 11 which is an odd number, then the common difference is (-3).   The sequence will go like this 11,8,5,2......           as you can see in the sequence there are even numbers so the answer is SOMETIMES TRUE.