Question

Points in graph
(0,3), (1,3.6), (2,4.32), (3,5.184),
What is the common ratio of this sequence

Answer 1

To determine the common ratio of the points given, we first identify the y-values:

- At \( x = 0 \), \( y = 3 \)
- At \( x = 1 \), \( y = 3.6 \)
- At \( x = 2 \), \( y = 4.32 \)
- At \( x = 3 \), \( y = 5.184 \)

Next, we will calculate the ratio of each consecutive y-value:

1. The ratio between \( y_1 \) and \( y_0 \):
\[
r_1 = \frac{3.6}{3} = 1.2
\]

2. The ratio between \( y_2 \) and \( y_1 \):
\[
r_2 = \frac{4.32}{3.6} = 1.2
\]

3. The ratio between \( y_3 \) and \( y_2 \):
\[
r_3 = \frac{5.184}{4.32} = 1.2
\]

Since all three ratios are equal to \( 1.2 \), we can conclude that the common ratio of this sequence is \( 1.2 \).