Arithmetic and Geometric Sequences 6th-8th

Write the rule for the sequence below:

1, 5, 9, 13, 17, . . .

Write the rule for the sequence below:

-29, -145, -725, -3625, . . .

Write the rule for the sequence below:

1, -7, -15, -23, . . .

Determine if the sequence is arithmetic or geometric.

Then, identify the next term in the sequence:

20, 40, 60, 80, . . .

•  Geometric; 160

•  Geometric; 100

•  Arithmetic; 100

•  Arithmetic; 160

Identify the common difference.
97, 86, 75, 64, ...

• 15

• 97

• -11

• -8

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25

• 20

• 5

An arithmetic sequence is represented by the rule a(x) = 5 - 3(x -1).

What is a₆?

• -10

• -11

• -18

• -22

What is g₅ for the sequence below?

g(x) = 2 • 3^{(x - 1)}

• g₅ = 453

• g₅ = 41

• g₅ = 54

• g₅ = 162

In a sequence of numbers, a₃ = 8, a₄ = 11, a₅ = 14 and a₆ = 17.

Based on this information, which equation can be used to represent the sequence?

• a(x) = 2 + 3(x - 1)

• a(x) = 4 + 3(x - 1)

• a(x) = 3 + 3(x - 1)

• a(x) = 1 + 3(x - 1)

Which kind of sequence has a common difference?

• Arithmetic

• Geometric