I know that in quadratic sequence the second common difference is constant, so I want to apply this idea to geometric sequences, like the second ratio is constant, example :

$$ 1, 2, 8 , 64 , 1024 ... $$

so it's :
$$ ×2, ×4, ×8, ×16... $$

which is :
$$ ×2, ×2, ×2,... $$

So how do we find the $nth$ term here?

**Bonus :**

How do we find the $nth$ term in this type of sequence :

$$ 1,2,6,24,120,...$$

so it's :

$$ ×2,×3,×4,...$$

which is :

$$+1,+1,+1,+1,...$$