Exercises: Generating Patterns and Identifying Their Features
Work through each section in order. When a problem asks you to explain why a feature
continues, give a reason that would work for any term, not just the ones you can see.
Recall / Warm-Up
Count by 3s starting at 0: 0, 3, 6, 9, ... What is the next number after 9?
What kind of number do you get when you add two ODD numbers, like 3 + 5?
Even -- 3 + 5 = 8.
Odd.
What kind of number do you get when you add two EVEN numbers, like 4 + 6?
Even -- 4 + 6 = 10.
Odd.
Fluency Practice
Start at 2, rule "Add 5." Write the next 4 terms after 2: 2, ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .
Start at 3, rule "Multiply by 2." Write the next 4 terms after 3: 3, ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ,
̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .
Start at 50, rule "Subtract 7." Write the next 4 terms after 50: 50, ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ,
̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .
What are the starting number and rule for this sequence: 5, 8, 11, 14, 17, ...?
Start at 5, rule "Add 3."
Start at 8, rule "Add 3."
Start at 5, rule "Add 5."
Start at 3, rule "Add 5."
What are the starting number and rule for this sequence: 2, 6, 10, 14, 18, ...?
Start at 2, rule "Add 4."
Start at 4, rule "Add 2."
Start at 2, rule "Multiply by 2."
Start at 6, rule "Add 4."
Start at 4, rule "Add 6." What is the 3rd term? (Term 1 is 4.)
16
10
22
24
You're viewing 2 of 6 sections.
Create a free account to continue the full exercise set and save your progress.
Create free account