Sequences and Sigma Notation

Classify the following sequence as arithmetic, geometric, or neither:

-9, -6, -3, 0, 3, 6, ...

• Geometric

• Arithmetic

• Neither

Find the next term of the sequence:

• 28

• 26

• 24

• 22

• 63

• 72

• 81

• 144

Determine the sum of the series written in Sigma Notation. 

• 3174

• 1590

• 3180

• 6356

• 510

• 255

• 256

• 512

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

• 8

• 11

• -11

• -8

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

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