Question

Consider the following sequence:

400, 480, 576, 691.2, 829.44

Is the sequence arithmetic or geometric? Explain your reasoning. (1 point)

Answer 1

geometric

Explanation:

The sequence is geometric. In a geometric sequence, the ratio between any two consecutive terms is constant. In this sequence, the ratio between any two consecutive terms is 1.2, which is constant. Therefore, the sequence is geometric.

Here is the proof:

480/400 = 1.2

576/480 = 1.2

691.2/576 = 1.2

829.44/691.2 = 1.2

As you can see, the ratio between any two consecutive terms is always 1.2. Therefore, the sequence is geometric.