Question

Please answer if the sequence -21, -16, -11, -6 is arithmetic, geometric, or neither.

a) Arithmetic
b) Geometric
c) Neither

Answer 1

The sequence -21, -16, -11, -6 is an arithmetic sequence with a common difference of 5.

Step-by-step explanation:

The sequence -21, -16, -11, -6 is an arithmetic sequence.

To determine if a sequence is arithmetic, we check if the difference between consecutive terms is constant.

In this case, the difference between -21 and -16 is 5, the difference between -16 and -11 is 5, and the difference between -11 and -6 is also 5. Since the difference between consecutive terms is always 5, the sequence is arithmetic.