Arithmetic and Geometric Sequences

For the sequence below, identify the type of sequence and its important features. 12, 29, 46, 63 ...

Arithmetic sequence with an initial value of 12 and a common difference of 17

For the sequence below, identify the type of sequence and its important features. 32, 64, 96, 128, 160 ....

Arithmetic sequence with an initial value of 32 and a common difference of 32

For the sequence below, identify the type of sequence and important features. 6, 12, 24, 48 ....

Geometric sequence with an initial value of 6 and a growth factor of 2

What is the third term in the following geometric sequence? 40, 20,...., 5, 2.5

10

What is the third term in this arithmetic sequence? 3, 8,...., 18, 23

13

What is the fourth term in the following sequence? 10, 14, 18,..., 26

22

If the following sequence is geometric, identify the fifth term in the sequence 2, 4, 8, 16,....

32

What is the first term in the following arithmetic sequence? ...., 27, 18, 9, 0

36

A geometric sequence has a growth factor of 1.2 and an initial starting value greater than 0. Which of the following values will be greatest?

The 10th term in the sequence.

A geometric sequence has a growth factor of 0.95 and an initial starting value of 0.8. Which sentence best describes the behavior of this sequence?

The sequence is decreasing because the growth factor is less than 1.

A geometric sequence has a growth factor of 2 and an initial starting value of 5. Which sentence best describes the sequence?

The sequence is increasing and each term is multiplied to get the next term.

For the sequence below, identify the type of sequence and its important features. 2, 9, 11, 12, 19, 25, 32 ...

This sequence is neither arithmetic nor geometric.

For the sequence shown below, identify the type of sequence and its important features. 1, 1, 2, 3, 5, 8, 13, 21 ...

This sequence is neither arithmetic nor geometric.