Question

determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 2, 8, 14, ... answer attempt 2 out of 2 this is an arithmetic sequence and the common ratio is equal to 6.

Explanation:

Step1: Check type of sequence

Find the differences between consecutive terms.

Step2: Calculate differences

$8 - 2=6$, $14 - 8 = 6$. Since the difference between consecutive terms is constant, it's an arithmetic sequence.

Step3: Determine common - difference

The common difference $d$ is 6.

Answer:

This is an arithmetic sequence and the common difference is equal to 6.