Identify if each sequence is arithmetic, geometric, or neither.
$5,11,17,23,29,\dots$

• A. Arithmetic
• B. Geometric
• C. Neither

Answer: (A)

Verified step by step guidance

1. First, recall the definitions: an arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio between consecutive terms.
2. Calculate the differences between consecutive terms: \$11 - 5\(, \)17 - 11\(, \)23 - 17\(, and \)29 - 23$.
3. Check if all these differences are equal. If they are, the sequence is arithmetic.
4. If the differences are not equal, calculate the ratios of consecutive terms: \(\frac{11}{5}\), \(\frac{17}{11}\), \(\frac{23}{17}\), and \(\frac{29}{23}\).
5. Check if all these ratios are equal. If they are, the sequence is geometric. If neither the differences nor the ratios are constant, then the sequence is neither arithmetic nor geometric.