Question

Are the following sequences arithmetic? Explain your answer.

1. 5,12,19,26,33.
2. 14,9,4,-1,-6,-11
3. 5,10,20,40,80,160

Answer 1

The first two sequences are arithmetic while the third one is not.

Step-by-step explanation:

The first sequence is arithmetic because there is a constant difference between each pair of consecutive terms. In this case, the common difference is 7.

The second sequence is also arithmetic because there is a constant difference of -5 between each pair of consecutive terms.

The third sequence is not arithmetic because there is a common ratio of 2 between each pair of consecutive terms. This makes it a geometric sequence.