Question

Instructions: Find the common ratio of the geometric sequence. Write your answer as a fraction. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12).

Answer 1

Solution

Given

2, 3, 4.5, 6, 7.5

The common ratio of a geometric sequence can be calculated as;

$\begin{gathered} \frac{T_2}{T_1}=\frac{T_3}{T_2}=r \\ \\ \text{ where }r\text{ is the common ratio} \end{gathered}$

$\begin{gathered} T_1=2 \\ \\ T_2=3 \\ \\ T_3=4.5 \\ \\ T_4=6 \\ \\ T_5=6.75 \end{gathered}$

$r=\frac{3}{2}$

Hence, r = 3/2