Question

Bob has a garden and likes to put flowers from his garden into pretty vases. Bob put 36 flowers in the first vase, 30 flowers in the second vase, 24 flowers in the third vase, and 18 flowers in the fourth vase. What kind of sequence is this?

Answer 1

The sequence of the number of flowers Bob put in the vases is as follows:

- First vase: 36 flowers
- Second vase: 30 flowers
- Third vase: 24 flowers
- Fourth vase: 18 flowers

To determine the type of sequence, we can observe the difference between consecutive terms:

1. \(30 - 36 = -6\)
2. \(24 - 30 = -6\)
3. \(18 - 24 = -6\)

The difference between each consecutive term is constant and equal to \(-6\). This indicates that the sequence is an **arithmetic sequence**, where each term is obtained by subtracting a constant value (in this case, 6) from the previous term.

Thus, the sequence of the number of flowers in the vases forms an arithmetic sequence.