Question

determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 5, 20, 80, ... answer attempt 2 out of 2 this is sequence and the is equal to

Explanation:

Step1: Check for arithmetic - common difference

Find the difference between consecutive terms. $20 - 5=15$, $80 - 20 = 60$. Since $15
eq60$, it's not arithmetic.

Step2: Check for geometric - common ratio

Find the ratio between consecutive terms. $\frac{20}{5}=4$, $\frac{80}{20}=4$. Since the ratio between consecutive terms is constant, it's geometric.

Answer:

This is a geometric sequence and the common ratio is equal to 4.