Arithmetic and Geometric Sequences & Series

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

What is the fifth term of the geometric sequence?

5, 15, 45,...

• 135

• 1875

• 1215

• 405

Find the next four terms in the arithmetic sequence -10, -6, -2, ... .

• 0, 4, 8, 12

• 2, 6, 10, 14

• 6, 10, 14, 18

• 1, 5, 9, 13

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.

Which kind of sequence has a common ratio?

• Arithmetic
• Geometric

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

• 365

• 440

• 522

• 611

• 55

• 59

• 63

• 67

• 305

• 503

• 53

• 8