Question

Which of the following is an arithmetic sequence?

Answer 1

B

Explanation:

An arithmetic sequence has a common difference (d) between consecutive terms.

The only sequence with a common difference is B

1 = 4 = - 3

- 2 - 1 = - 3

- 5 - (- 2) = - 5 + 2 = - 3

Answer 2

B

Explanation:

And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.

It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.

It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.

It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.

And it is B because the numbers maintain a constant difference between each other, which is -3.