Algebra Patterns and Sequences

Find the next number:

4, 10, 16, 22...

Find the next number:

1, 4, 9, 16, 25...

Find the next number:

42, 36, 30, 24...

How many matchsticks are in the next pattern?

• A

• B

• C

• D

• A.
• B.
• C.
• D.

• A.
• B.
• C.
• D.

• F

• G

• H

• J

An equation to represent the n^th term of the sequence is known as 

• explicit formula

• arithmetic sequence

• geometric sequence

• recursive formula

A rule that defines the nth term a_n, or a general term, of a sequence as a function of n.

• Explicit Rule

• Arithmetic Sequence

• Recursive Rule