Question

Which of the following statements correctly describes the sequence 3,8,13,18….
Statement 1 It is an arithmetic sequence
Statement 2 it is a geometric sequence
Which statement correctly destthe sequence

Answer 1

To analyze the sequence 3, 8, 13, 18, we need to determine its properties:

1. **Arithmetic Sequence**: An arithmetic sequence has a constant difference between consecutive terms.

Let's find the differences:
- 8 - 3 = 5
- 13 - 8 = 5
- 18 - 13 = 5

Since the difference between each consecutive term is constant (5), this sequence is indeed an arithmetic sequence.

2. **Geometric Sequence**: A geometric sequence has a constant ratio between consecutive terms.

Let's find the ratios:
- 8/3 ≈ 2.67
- 13/8 = 1.625
- 18/13 ≈ 1.385

Since the ratios are not constant, this sequence is not a geometric sequence.

Based on the analysis:

- **Statement 1**: It is an arithmetic sequence. (True)
- **Statement 2**: It is a geometric sequence. (False)

Therefore, **Statement 1 correctly describes the sequence.**