What's the Rule
3, 6, 9, 12, 15, 18
T = 3p
5, ___, ___, 20, 25
10, 15
T = 5p
What is the 15th term?
75
Payton is selling lemonade in her neighbourhood. If she charges $2 a glass, how many glasses of lemonade does she need to sell before she makes $40?
20 glasses.
What is a repeating pattern?
A pattern in which a core repeats itself continuously.
77, 73, 69, 65, 61, 57
Decrease by 4 each term.
12, 24, ___, 48, ___
36, 60
T = 2p +1
What is the 10th term?
21
Alice saves $4 every week so she can buy a new game that costs $60. On what week will she have enough money to buy this game?
Week 15.
What is a shrinking pattern?
A pattern that decreases from term to term.
4, 9, 14, 19, 24, 29
T = 5p - 1
3, 8, 13, ___, 23, ___
18, 28
T = 3p
What is the 70th term?
210
Ben wants to buy a soccer ball that costs $56. If he saves $8 a day, after how many days will he have enough money to buy the soccer ball?
After 7 days.
What is a non-linear pattern?
A pattern where the change between terms is inconsistent.
2, 4, 8, 16, 32, 64
Double the term value each time (multiply by 2)
___, 10, 14, ___, 22, 26
6, 18
T = 4p -2
What is the 30th term?
118
Adam works at a grocery story and makes $15 an hour. How many hours does he have to work to save $120?
8 hours.
What does it mean to translate a pattern?
3, 6, 12, 21, 33, 48
Increase by multiples of 3.
5, 10, 20, ___, 55, ___
35, 80
T = 15p +3
What is the 15th term?
228
Alex wants to buy donuts for him and his friends. He has $24 saved up and each donut costs $3. How many donuts can he buy?
8 donuts.
What is a variable (e.g. "T" or "p")?
A symbol that represents a number.