Fiona wrote the sequence below.

3, 12, 48, 192, ...

x4 x4 x4

Which of the following classifies the sequence?

arithmetic

geometric

both arithmetic and geometric

neither arithmetic nor geometric

From the given, it can be seen that the quotient obtained when second term is divided by the first term is equal to 4. This is the same answer when the third term is divided by the second term. Finally, the same quotient when the last term is divided by the third term. This means that the values progress with a common ratio. Thus, the answer is geometric.