To determine which statement correctly describes the sequence 3, 8, 13, 18, ..., we need to analyze the properties of the sequence.
- Arithmetic Sequence: A sequence is arithmetic if the difference between consecutive terms is constant. Let's find the differences:
- 8 - 3 = 5
- 13 - 8 = 5
- 18 - 13 = 5
The difference between consecutive terms is 5, which is constant. Therefore, this sequence is an arithmetic sequence.
- Geometric Sequence: A sequence is geometric if the ratio between consecutive terms is constant. Let's check the ratios:
- 8 / 3 is not equal to 13 / 8 is not equal to 18 / 13.
Since the ratios are not constant, this sequence is not geometric.
Based on the analysis:
- Statement #1: It is an arithmetic sequence. (True)
- Statement #2: It is a geometric sequence. (False)
Thus, Statement #1 correctly describes the sequence.
So the answer is: Statement #1 correctly describes the sequence.