Arithmetic and Geometric Series and Sequences

−4, −12, −36, −108, ...

Find the common ratio

• r=−2

• r=3

• r=−3

• r=2

4, 24, 144, 864, ...

Find the next 3 terms

• 1024, 4096, 16384

• 256, −1024, 4096

• 256, 1024, 4096

• 5184, 31104, 196624

1, −2, 4, −8, ... Find a₁₁

• −512

• 1024

• −1024

• 512

Which of the following is not an Arithmetic Progression?

• 1, 4, 7, 10, .....

• 3, 7, 12, 16, ......

• -5, -2, 1, 4, .....

• 11, 14, 17, 20, .....

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

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

−4, −12, −36, −108, ...

Find the ratio

• r=−2

• r=3

• r=−3

• r=2

What is the fifth term of the geometric sequence?

5, 15, 45,...

• 135

• 1875

• 1215

• 405

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.