Answer
$B$
Work Step by Step
To find the common ratio, set up the ratio for each set of two consecutive terms using the second term as the numerator and the previous term as the denominator:
First set:
$r = \frac{10}{4}$
Simplify by dividing both numerator and denominator by their greatest common factor, which is $2$, in this case:
$r = \frac{5}{2}$
Second set:
$r = \frac{25}{10}$
Simplify by dividing both numerator and denominator by their greatest common factor, which is $5$, in this case:
$r = \frac{5}{2}$
Third set:
$r = \frac{62.5}{25}$
Simplify by dividing both numerator and denominator by their greatest common factor, which is $12.5$, in this case:
$r = \frac{5}{2}$
The common ratio is $\frac{5}{2}$ or $2.5$. The answer is option $B$.
