Arithmetic Sequences Practice

State the common difference:

Example 2: 21, 19, 17, 15, …

Write an explicit rule to model the following sequence: Example 2: 21, 19, 17, 15, …

Write and explicit rule to model the following sequence:

Given the explicit formula, list the first five terms in order. (You can ignore term 0)

• 2, 5, 8, 11, 14, ...

• 3, 1, -1, -3, -5, ...

• 3, 6, 9, 12, 15, ...

• 3, 5, 7, 9, 11, ...

Create the explicit formula for the sequence: 2, 8, 14, ...

(Hint: Use the common difference AND the zero term!.)

• a_n = 6n + 2

• a_n = 6n - 6

• a_n = 6n - 4

• a_n = -6n + 4

Find the common difference of the arithmetic sequence 14, 20, 26, ...

Find the common difference of the arithmetic sequence -19, -14, -9, ...

Find the common difference of the arithmetic sequence 1, -2, -5, ...

What is a formula for the nth term in the sequence 12, 20, 28, ...?

What is a formula for the nth term in the sequence -4, -9, -14, ...?