Question

question
find the common ratio of the geometric sequence 19, 152, 1216, ...

Explanation:

Step1: Recall common ratio formula

The common ratio $r$ of a geometric sequence is $\frac{\text{second term}}{\text{first term}}$

Step2: Substitute the given values

$r = \frac{152}{19}$

Step3: Calculate the ratio

$r = 8$
Verify with next pair: $\frac{1216}{152}=8$, which confirms consistency.

Answer:

8