Question

question
determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
2, 10, 50, ...
answer attempt 1 out of 5
this is □ sequence and the □ is equal to □.

Explanation:

Step1: Check arithmetic sequence

Calculate differences: $10-2=8$, $50-10=40$. Since $8
eq40$, not arithmetic.

Step2: Check geometric sequence

Calculate ratios: $\frac{10}{2}=5$, $\frac{50}{10}=5$. Ratios are equal.

Answer:

This is a geometric sequence and the common ratio is equal to 5.