Arithmetic and Geometric Nth Term

Is the sequence geometric? If so, identify the common ratio.

• yes, 2

• yes, -2

• yes, 4

• no

What is the fifth term of the geometric sequence?

• 135

• 1875

• 1215

• 405

Find the next four terms of the arithmetic sequence 16, 24, 32,...

• 40, 48, 56, 64

• 36, 40, 44, 48

• 35, 40, 45, 50

• 40, 44, 50, 56

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

• 63

• 39

• 69

• 36

Find the 8th term of a geometric sequence for which a1=2 and r = 7?

• 823,543

• 11,529,602

• 1,647,086

• 5,764,801

What is the difference between an arithmetic sequence and a geometric sequence?

• One is the sum of the numbers and one is just a list of numbers.

• One has a common difference and one has a common ratio.

• One you can write an nth term and one you cannot.

• None of these are correct.

Identify the common difference.
-21, -18, -15, -12, ...

• 4

• 3

• -4

• -3

The next two terms of the sequence 12,17,22,27 are

• 28 and 33

• 29 and 34

• 32 and 37

• 30 and 35

Identify the common difference.
3, 7, 11, 15, ...

• 6

• -4

• 4

• 5

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither