Question

Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in the simplest form. 3,12,48, This is__sequence and the____is equal to.

Answer 1

`\begin{gathered} \text{ Geometric Sequence} \\ 4 \end{gathered}`

Step-by-step explanation:

Here, we want to check if the given sequence is geometric or arithmetic

if the sequence is arithmetic, there would be a common difference. If the sequence is geometric, there would be a common ratio

If there is a common ratio, if we divided the succeeding by the preceding term, we get a common ratio

Mathematically:

`(12)/(3)\text{ = }(48)/(12)\text{ = 4}`

Thus, the sequence is a geometric sequence while the common ratio is 4