Which of the following statements correctly describes the sequence 3,8,13,18….

Question

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.