Question

Which of the following are examples of an arithmetic sequence?
A. 5, 9, 13, 17, 19, 20

B. 10, 8, 6, 4, 2, 0

C. 2, 4, 8, 16, 32, 64

D. 1, -3, - 7, - 11, - 15, - 19

Answer 1

A. 5, 9, 13, 17, 19, 20

B. 10, 8, 6, 4, 2, 0

D. 1, -3, - 7, - 11, - 15, - 19

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant.

In option A, the difference between the consecutive terms is 4, so it follows an arithmetic sequence.

In option B, the difference between the consecutive terms is -2, which is not constant, so it does not follow an arithmetic sequence.

In option C, the terms are not in an arithmetic sequence as the difference between the consecutive terms is not constant. For example, the difference between 4 and 8 is 4, but the difference between 8 and 16 is 8.

In option D, the difference between the consecutive terms is -4, so it follows an arithmetic sequence.

So, the examples of an arithmetic sequence are A and D.