# Arithmetic Sequences

## Arithmetic Sequence Notes

An ____arithmetic___________ sequence is a set of ____numbers/terms____ where the difference

between each pair of ___consecutive_______ terms are the same. We call this difference the

common_____difference________.

Find the common difference, *d*, for each arithmetic sequence.

2, 5, 8, 11, 14, …

5 - 2 = 3

8 - 5 = 3

11 - 8 = 3

14 - 11 = 3

common difference = 3

2. 7, 3, -1, -5, …

3 - 7 = -4

-1 - 3 = -4

-5 - -1= -4

common difference = -4

3. 4, 9, 14, 19, 24, …

9 - 4 = 5

14 - 9 = 5

19 - 14 = 5

24 - 19 = 5

common difference = 5

**Terminology**

d - difference

a1- first term

a2- second term

an- nth term

an-1- n -1 term