# 0.75, 1.5, 3, 6, . . . find the common ratio for the following geometric sequence

0.75, 1.5, 3, 6, . . .
find the common ratio for the following geometric sequence
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Emmalee Reilly
$r=\frac{1.5}{.75}=\frac{3}{1.5}=\frac{6}{3}=2$
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hikstac0
the standard geometric sequence is.
$a,ar,a{r}^{2},a{r}^{3},........,a{r}^{n-1}$
where r is the common ratio
$r=\frac{{a}_{2}}{{a}_{1}}=\frac{{a}_{3}}{{a}_{2}}=......=\frac{{a}^{n}}{{a}^{n-1}}$
$⇒r=\frac{1.5}{0.75}=\frac{3}{1.5}=2$