Arithmetic Sequence Linear

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

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

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

• 182

• 176

• 170

• -118

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 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

An arithmetic sequence is an example of a linear function.

• True, because having a common difference also means it has a constant rate of change

• False, because it's not shown on a graph

We will start with the explicit formula. Given the following sequence, state the first term and common difference.

Example 1:          4, 7, 10, 13, 16, …

Now, find the term BEFORE term 1 (term 0).

Example 1:          4, 7, 10, 13, 16, …

•  1

•  4

•  7

•  0

Now, write the explicit formula for the given sequence.

State the common difference:

Example 2: 21, 19, 17, 15, …