Types of Patterns
11, 22, 33, 44, 55
Growing Linear Pattern
35, ___, 45, 50, 55, 60
40
Write a pattern with 5 terms for:
N = 6t +10
16, 22, 28, 34, 40
What is the difference between N and n?
N is the Term Value
n is the nth term, the unknown term that we are solving and substituting for
60, 44, 28, 12, 60, 44, 28, 12
____, 81, 92, 103, 114
70
What is the algebraic expression for this pattern?
10, 20, 30, 40, 50
N = 10t
What is the pattern core and where does it appear?
It is the cluster of variables in a pattern that recurs throughout a repeating pattern.
70, 64, 58, 52, 46
Linear Shrinking
42, 39, ___, ___, 30, 27
36, 33
What is the algebraic expression for this pattern?
54, 66, 78, 90, 102
N = 12t + 42
Is this algebraic expression correct for this pattern?
47, 71, 95, 119
N = 23t +24
It is incorrect!
The expression should be:
N = 24t +23
312, 278, 156, 101, 82
10, 23, 10, ____, 10, 23, ____, 45, _____
45, 10, 10
What is Term 14 for this pattern?
N = 25t +18
Term Number 14 = 368
What is Term 0 for this pattern?
____, _____, 65, 43, 21
Term 0 = 131
16, 25, 36, 49, 64
Non-linear growing pattern
____, ______, 58, 50, _____, _____
74, 66, 42, 36
Create an algebraic expression for this pattern:
648, 702, 756, 810, 864
N = 54t + 594
Create an algebraic expression for this pattern:
32, 28, 24, 20, 16
N = 36 - 4t