Question

Determine whether each sequence is arithmetic, geometric, or neither. If it's arithmetic, give the common difference. If it's geometric, give the common ratio.

A. 1, 2, 3, 4 (Arithmetic, common difference = 1)
B. 1, 0.6, 0.36, 0.216 (Geometric, common ratio = 0.6)

Answer 1

The sequence 1, 2, 3, 4 is arithmetic with a common difference of 1. The sequence 1, 0.6, 0.36, 0.216 is geometric with a common ratio of 0.6.

Step-by-step explanation:

A. The sequence 1, 2, 3, 4 is arithmetic because the difference between each term is the same, which is 1.
B. The sequence 1, 0.6, 0.36, 0.216 is geometric because each term is obtained by multiplying the previous term by the common ratio. In this case, the common ratio is 0.6.