Question

Which is an arithmetic sequence?

Answer 1

Answer: the arithmetic sequence is

3, 10, 17, 24

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference. This means that the difference between the first term and the second term must equal the difference between the second term and the third term.

Considering the following sequences,

1) 4 - 1 = 3

9 - 4 = 5

There is no common difference and so, it is not an arithmetic sequence.

2) 10 - 3 = 7

17 - 10 = 7

The common difference is 7. So it is an arithmetic sequence.

3) 6 - - 5 = 11

10 - 6 = 4

There is no common difference and so, it is not an arithmetic sequence.

4) 2 - 1 = 1

4 - 2 = 2

There is no common difference and so, it is not an arithmetic sequence.