Which explains why the sequence 64, 4, 1/4,.. is a arithmetic or geometric a. the sequence is geometric because it decreases by a factor of 1/16 b. The sequence is arithmetic because it decreases by a factor of 1/16 c. The sequence is geometric because it decreases by a factor of four d the sequence is arithmetic because it decreases by the back four

Question

Which explains why the sequence 64, 4, 1/4,.. is a arithmetic or geometric a. the sequence is geometric because it decreases by a factor of 1/16 b. The sequence is arithmetic because it decreases by a factor of 1/16 c. The sequence is geometric because it decreases by a factor of four d the sequence is arithmetic because it decreases by the back four

Answer 1

Ring answer

Answer 2

The correct answer is c. The sequence is geometric because it decreases by a factor of four.

To determine whether a sequence is arithmetic or geometric, we need to examine the relationship between consecutive terms. In an arithmetic sequence, the difference between consecutive terms is constant. In a geometric sequence, the ratio between consecutive terms is constant.

In the given sequence, we can see that each term is obtained by multiplying the previous term by 1/16 or dividing by 4. Therefore, the sequence is decreasing by a factor of 4, which means the ratio between consecutive terms is constant. This makes the sequence a geometric sequence.