Activities

1. What is the rule for the pattern 2, 4, 6, 8, 10…
   
   
2. What is the rule for the pattern 1, 3, 9, 27…
   
   
3. What is the next number in the pattern 4, 8, 12, 16, ___
   
   
4. Identify which pattern is multiply by 2.
   
   a.  2, 4, 6, 12
   b.  2, 4, 6, 8
   c.  3, 6, 12, 24
   d.  5, 10, 15, 20
   
   
5. Circle the third term in the pattern  3, 9, 27, 81

6. Generate the first three terms in the sequence from the given rules.

The first term is 82. Rule:  subtract 3
The first term is 11.  Rule:  add 11

7. Given the rule, multiply by 5, with the starting number 2 and the rule, divide by 10, with the starting number 10,000, generate the first four terms in the resulting sequences.
   
   
8. Given the following rules, generate the resulting sequence with 4 terms.

Rule #1: add 2 and multiply by 4; first term is 4
Rule #2: subtract three and multiply by 2; first term is 9

9. Generate two different sequences for the rule multiply by 3 and subtract 2.
   
   
10. Karen and Ezra each develop a rule for their pattern.
    
                Karen’s rule:  add 6 and multiply by 2
                Ezra’s rule:  multiply by 4 and divide by 2
    
    Which are the correct patterns for Karen and Ezra’s rules?

a.  Karen:  1, 14, 22, 30           Ezra:  3, 6, 12, 24
b.  Karen:  1, 14, 40, 92           Ezra:  3, 6, 12, 24
c.  Karen:  1, 14, 22, 30           Ezra:  5, 20, 40, 80
d.  Karen:  5, 22, 56, 124         Ezra:  3, 6, 9, 12

Answer Key/Rubric

1. Add 2
   
   
2. Multiply by 3
   
   
3. 20
   
   
4. C
   
   
5. 27 is circled.

6. 82, 79, 76                    11, 22, 33
   
   
7. 2, 10, 50, 250              10,000, 1,000, 100, 10
   
   
8. 4, 12, 28, 60                  9, 12, 18, 30
   
   
9. Answers will vary.  Examples:  1, 1, 1, 1        2, 4, 10, 28
   
   
10. B