Question

classify the following sequence:
5, 8, 11, 14, ...
geometric
neither
arithmetic

Explanation:

Step1: Check for arithmetic sequence (common difference)

Calculate the difference between consecutive terms: \(8 - 5 = 3\), \(11 - 8 = 3\), \(14 - 11 = 3\). The common difference \(d = 3\) is constant.

Step2: Check for geometric sequence (common ratio)

Calculate the ratio between consecutive terms: \(\frac{8}{5} = 1.6\), \(\frac{11}{8} = 1.375\), \(\frac{14}{11} \approx 1.27\). The ratios are not constant, so it's not geometric.

Answer:

arithmetic (specifically, the option would be: arithmetic)