Question

A geometric sequence can be written as

• A. $ar,a{r}^2,a{r}^4,a{r}^6...a{r}^n$
• B. $a,a{r}^2,a{r}^3,a{r}^4...a{r}^n$
• C. $a,ar,a{r}^1,a{r}^3,a{r}^4...a{r}^n$
• D. $a,ar,a{r}^2,a{r}^3,a{r}^4...a{r}^n$

Answer 1

The correct option is D $a,ar,a{r}^2,a{r}^3,a{r}^4...a{r}^n$

A geometric sequence can be written as $a,ar,a{r}^2,a{r}^3,a{r}^4...a{r}^n$.

Here the common ratio is $\frac{a{r}^2}{ar}=r$, $\frac{a{r}^3}{a{r}^2}=r$

It is same throughout.

Hence, option D is correct.