Finding the missing term
What is the next number in the pattern? 9, 12 __, 18, 21
15
2, 4, __, 8, 10, 12 What is the missing number?
6
Mr. Rodger needs to put equal groups of people at tables in the cafeteria. The chart shows the number of tables for different numbers of people. 24, 36, 42, 54 persons, 4, 6, ?, 9, tables. What rule can he use to find how many tables are needed if they're 42 persons?
Divide by 6
The sequence is defined as: multiply by 3, then subtract 2.
The first term is 1.
Write the first four terms.
1, 1, 1, 1
Look at the sequence: 1, 4, 9, 16, …
Find the term-to-term rule.
n²
The sequence follows this pattern: add 2, add 4, add 6, …
The first term is 3.
Write the first five terms and state the type of sequence.
3, 5, 9, 15, 23
3, 9, 12, __, 18 What is the missing number?
15
Aaron writes this pattern in his notebook. 40, 34, 28, 22, 16,..., What is the term-to-term rule?
Minus 6
The first term of a sequence is 7.
The term-to-term rule is: multiply by 2, then subtract 1.
Find the next three terms.
13, 25, 49
The sequence is: 2, 6, 14, 30, …
Find the pattern and the next term.
×2 then +2
Consider the sequence: 12, 7, 0, −9, …
Find the term-to-term rule.
−5, −7, −9
The first five terms of a sequence are: 3, 6, 11, 18, 27.
Find the term-to-term rule and the next term.
Add consecutive odd numbers
Consider the sequence: 5, 11, 19, 29, …
Find the term-to-term differences.
+6, +8, +10 ,...,
The first term is 10.
The term-to-term rule alternates between +5 and −2.
Write the next five terms.
15, 13, 18, 16, 21
The sequence is: 2, 6, 14, 30, …
Find the pattern and the next term.
×2 then +2
Next term = 62
A sequence increases by consecutive odd numbers.
The first term is 6.
Write the first five terms.
6, 7, 10, 15, 22
24, 21, __, 15 What is the missing number?
18
Ms. Cappa buys boxes of crayons for his students. The chart shows the different prices for the boxes of crayons. Total number of boxes: Total Price: 2:$8, 4:$16, 6:$__, 10:$40 What is the total price for 6 boxes of crayons?
$24
Examine the sequence: 100, 90, 72, 54, …
Identify whether it is linear or non-linear.
Non-linear
Hours 1 2 3 4 Miles 60 120 180 240.
How many miles can Kevin O travel in 5 hours and in 6 hours?
300 mi; 360 mi
24, 29, __, 39, 44 What is the missing number?
34
9, __, 27, 36 What is the missing number?
18
What is the rule? 4, 8, 12, 16, __, __ What are the next two numbers?
Rule: +4
Next two numbers: 20 and 24
The first term of a sequence is 5.
Each term is found by adding the previous two increases.
Find the next four terms.
6, 8, 11, 15
The sequence is defined by the rule: subtract 3, then subtract 6, then subtract 9.
The first term is 50.
Find the next four terms.
47, 41, 32, 20