Arithmetic Geometric Sequences

Which of the following best describes this sequence?

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

The first three terms of an a sequence are 3, 11, and 19. Which formula represents the sequence?

• a_n = 8 + 3(n-1)

• a_n = 8(3)^n-1

• a_n = 3 + 8(n-1)

• a_n = 3 + 8n

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2

What is the tenth term in the arithmetic sequence:

12, 19, 26, 33, ...

Hint: Find the common difference and then either continue the pattern or write and use an explicit formula.

• 47

• 61

• 75

• 96

What is the first term of the sequence below?

• 3

• 6

• 9

• 12

• 530

• 685

• 755

• 820

Write an explicit formula for the sequence 45, 40, 35, 30, ...

Write an explicit formula for the sequence 1.5, 2.0, 2.5, 3.0, ...

Write an explicit formula for the sequence -9, -7, -5, -3, ...