Question

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

Answer 1

Answer:

3

Step-by-step explanation:

13, 16, 19, 22, 25,

16-13 = 3

19-16 =3

22-19 =3

the common difference is 3

Answer 2

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.