Question

Given the following geometric sequence, find the common ratio: (16, 64, 256,

Answer 1

Solution

Step 1:

Write the sequence

16, 64, 256,

Step 2

$\begin{gathered} common\text{ ratio of a geometric sequence = }\frac{2^{nd}term}{1^{st}term}\text{ = }\frac{3^{rd}term}{2^{nd}term} \\ common\text{ ratio = }\frac{64}{16}\text{ = }\frac{256}{64}\text{ = 4} \end{gathered}$

Final answer

Common ratio = 4