0.75, 1.5, 3, 6, . . .

find the common ratio for the following geometric sequence

find the common ratio for the following geometric sequence

sexiboi150nc
2022-10-07
Answered

0.75, 1.5, 3, 6, . . .

find the common ratio for the following geometric sequence

find the common ratio for the following geometric sequence

You can still ask an expert for help

Emmalee Reilly

Answered 2022-10-08
Author has **6** answers

$r=\frac{1.5}{.75}=\frac{3}{1.5}=\frac{6}{3}=2$

hikstac0

Answered 2022-10-09
Author has **2** answers

the standard geometric sequence is.

$a,ar,a{r}^{2},a{r}^{3},........,a{r}^{n-1}$

where r is the common ratio

$r=\frac{{a}_{2}}{{a}_{1}}=\frac{{a}_{3}}{{a}_{2}}=......=\frac{{a}^{n}}{{a}^{n-1}}$

$\Rightarrow r=\frac{1.5}{0.75}=\frac{3}{1.5}=2$

$a,ar,a{r}^{2},a{r}^{3},........,a{r}^{n-1}$

where r is the common ratio

$r=\frac{{a}_{2}}{{a}_{1}}=\frac{{a}_{3}}{{a}_{2}}=......=\frac{{a}^{n}}{{a}^{n-1}}$

$\Rightarrow r=\frac{1.5}{0.75}=\frac{3}{1.5}=2$

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