Question

What is the common difference for the arithmetic sequence? 13, 16, 19, 22, 25, … Enter your answer in the box.

Answer 1

ANSWER

The common difference is


`d = 3`



EXPLANATION

We want to find the common difference of the arithmetic sequence,



`13, 16, 19, 22, 25, …`

The common difference is the constant difference between any two consecutive terms.

Thus,


`d=a_n-a_(n-1)`


For instance the first and second term of the sequence has the difference,


`d = 16 - 13 = 3`


Or the third and the second term has the difference,



`d = 19 - 16 = 3`
Since this is an arithmetic sequence the difference is the same for any two consecutive terms.

Answer 2

3

Explanation:

13, 16, 19, 22, 25,

16-13 = 3

19-16 =3

22-19 =3

the common difference is 3