Question

what is the common ratio of this sequence?

(0,3) (1,3.6) (2,4.32) (3,5.184)

Answer 1

To find the common ratio of the given sequence, we need to analyze the second values of each pair in the sequence: 3, 3.6, 4.32, and 5.184.

The common ratio \( r \) can be found by dividing each term by the previous term:

1. For the first two terms:
\[
r = \frac{3.6}{3} = 1.2
\]

2. For the second and third terms:
\[
r = \frac{4.32}{3.6} = 1.2
\]

3. For the third and fourth terms:
\[
r = \frac{5.184}{4.32} = 1.2
\]

Since the ratio is consistent at \( 1.2 \) for each step, we conclude that the common ratio of the sequence is \( 1.2 \).