Exponential function and Geometric progression

[schan11]

Can anyone help me answer this question?


" Every exponential function is a geometric progression but not every geometric progression is an exponential function. Explain."

 

[MrNerd]

It would be nice if you had some ideas you tried but couldn't get to work in your head.

Think of it this way:
Every human is a mammal, but not all mammals are humans.

Basically, I just changed the objects, but the principle is the same. What does it imply if every human is a mammal? What does it imply if not all mammals are humans?