Question

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

Answer 1

Step 1:

Write the sequence

16, 64, 256,

Step 2

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

Final answer

Common ratio = 4