Question

In your own words, explain how to find the general term of a geometric sequence .

Short answer

The general term of geometric sequence is $a_n=a{r}^{n-1}$

where,$$\begin{gathered} a=firsttermofthegeometricsequence \\ r=commonratio \\ n=nthterm \end{gathered}$$

Step-by-step solution

Step 1. Give information.

• How to find the general terms of a geometric sequence.
• A geometric sequence is a sequence in which every term is multiplied by a constant number to get its next term.

Step 2. Determine the general terms of the geometric sequence

The $nth$term of a geometric sequence with initial sequence with initial value $n$and common ratio$r$is given by:

$a_n=a{r}^{n-1}$

where $a$ is the first term of the geometric sequence.