Question

Select the correct answer. Which type of sequence is shown? -2,0, 2, 4, 6, .. O A. neither arithmetic nor geometric O B. arithmetic O C. both arithmetic and geometric O D. geometric​

Answer 1

The given sequence is an arithmetic sequence because the difference between each term is constant, and each term is the previous term plus a consistent difference, which is characteristic of arithmetic sequences.

Step-by-step explanation:

The given sequence is -2, 0, 2, 4, 6, ... To determine the type of sequence, we need to examine the pattern between consecutive terms.

Let's analyze the difference between consecutive terms:

• 0 - (-2) = 2
• 2 - 0 = 2
• 4 - 2 = 2
• 6 - 4 = 2

Since the difference between each term is constant, this indicates that the sequence is an arithmetic sequence. In an arithmetic sequence, each term is equal to the previous term plus a constant difference. The sequence does not multiply each term by a fixed ratio, which would make it a geometric sequence.

Therefore, the correct answer is B. arithmetic.