To find the common ratio (r) of a geometric series, we need to divide one term by the previous term. However, looking at the numbers provided: 08, 13, 30, and 32, they do not appear to follow the properties of a geometric series.
In a geometric series, each term after the first is found by multiplying the previous term by a constant called the common ratio (r). Let’s analyze the ratios:
- From 08 to 13, the ratio is 13 / 8 = 1.625.
- From 13 to 30, the ratio is 30 / 13 ≈ 2.3077.
- From 30 to 32, the ratio is 32 / 30 ≈ 1.0667.
As the ratios are not constant, this series cannot be classified as a geometric series. Thus, it does not have a common ratio (r) that defines it as such.