Question

What is the condition for geometric progression?

Answer 1

Condition for geometric progression:

A series is said to be a geometric progression if the ratio of any two consecutive terms is always same.

The general terms form of geometric progression $a,ar,a{r}^2,\cdots$.

The ratio of two consecutive terms $\frac{ar}{a}=\frac{a{r}^2}{ar}=r$.