Increasing Patterns
Predicting: If the pattern is 12, 24, 36, 48..., what are the next two numbers in the sequence?
60 and 72. (Rule: +12)
What are the next two numbers in this pattern: 60, 54, 48, 42, __, __?
36 and 30. (Rule: Subtract 6)
True or False: Is this equation balanced?
15 + 5 = 10 + 10
True. (Both sides equal 20)
The Sticker Collector: Sarah starts with 5 stickers. Every day she buys a pack of 3 stickers. How many stickers will she have on Day 4?
14 stickers. (5, 8, 11, 14)
Identify the Rule: What is the pattern rule for this sequence: 3, 7, 11, 15, 19...?
Start at 3 and add 4.
What is the rule for this pattern: 100, 80, 60, 40, 20?
Key: Start at _____ and _______
Start at 100 and subtract 20.
What number makes this equation true?
25 - 5 = 10 +___
10. (20 = 10 + 10)
The Savings Goal: Leo has $50. He spends $6 every week on a comic book. How much money does he have left after 4 weeks?
26. (50 - 24 = 26)
The Gap: Find the two missing numbers in this pattern: 5, 11, __, 23, __, 35
17 and 29. (Rule: +6)
The Divider: Find the missing number in this shrinking pattern: 80, 40, __, 10, 5
20. (Rule: Divide by 2 / Half it)
Solve for the unknown:
(4 x 3) = 2 x ____
6. (12 = 2 x 6)
The Pizza Party: A large pizza costs $15, plus $2 for every topping (t). If a pizza costs $21, how many toppings are on it?
3 toppings. (15 + 2t = 21)
The Double Jump: If a pattern starts at 3 and the rule is "Double the number," what is the 5th number?
48 (3, 6, 12, 24, then 48)
The rule: n - 7 and starts at 50. What are the first three numbers in the pattern?
50, 43, 36.
Find the value of n:
20 + n = 40 - 5
15. (20 + 15 = 35)
The Library Fine: A library charges $2 per day for a late book (d), plus a $5 processing fee. If the total fine is $19, how many days late is the book?
7 days late. (2d + 5 = 19)
The Mystery Rule: A pattern follows the rule 3n+2 What are the first four numbers in this pattern?
5, 8, 11, 14
The 5th Term: A pattern starts at n = 80 and the rule is n - 13. What is the 5th number in the sequence?
28. (80, 67, 54, 41, 28)
If 3 x n + 4 = 19:
what is the value of n?
(Logic: 15 + 4 = 19, and 3 x 5 = 15)
The Concert Seating: In a theatre, Row 1 has 10 seats. Each row behind it has 4 more seats than the row in front of it. How many seats are in Row 6?
30 seats. (10, 14, 18, 22, 26, 30)