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 these differences are all the same. If they are, the sequence is arithmetic.
4. If the differences are not constant, calculate the ratios of consecutive terms: 11 / 5, 17 / 11, 23 / 17, and 29 / 23.
5. Check if these ratios are all the same. If they are, the sequence is geometric. If neither differences nor ratios are constant, then the sequence is neither arithmetic nor geometric.