Question

question
determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
2, 20, 200, ...
answer attempt 1 out of 5
this is __ sequence and the __ is equal to □.

Explanation:

Step1: Check arithmetic sequence (find differences)

$20 - 2 = 18$, $200 - 20 = 180$

Step2: Check geometric sequence (find ratios)

$\frac{20}{2} = 10$, $\frac{200}{20} = 10$

Answer:

This is a geometric sequence and the common ratio is equal to 10.