Q:

If one of the terms of a geometric progression is $0$, can it be a valid GP?

Since anything divided by zero is not defined, is the geometric progression, having one of its terms as $0$, a valid GP?

A:

If you multiply anything by zero it equals zero so if the first term of a GP is zero all the terms will be zero. I wouldn't call that a very interesting GP... a trivial GP might be a suitable name.

