Pattern Recognition

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Show your work for each problem.

1.
What is the next number in the pattern $2, 5, 8, 11, \ldots$ ?
1. a)14
2. b)16
3. c)13
4. d)15
2.
Which rule fits the pattern $4, 8, 16, 32, \ldots$ ?
1. a)Add 4
2. b)Add 8
3. c)Multiply by 4
4. d)Multiply by 2
3.
Beads are threaded in the order red, blue, green, red, blue, green, and so on. What color is the 14th bead?
1. a)Blue
2. b)Red
3. c)Yellow
4. d)Green
4.
Which list follows the rule "start at 3, multiply by 3"?
1. a)3, 9, 27, 81
2. b)3, 6, 9, 12
3. c)3, 6, 12, 24
4. d)3, 9, 15, 21
5.
Which rule fits ALL the terms of $1, 2, 4, 7, 11$ ?
1. a)Add 1 each time
2. b)Add 3 each time
3. c)Multiply by 2
4. d)Add 1, then 2, then 3, then 4
6.
What is the next number? $40, 35, 30, 25, \ldots$
7.
What is the next number? $1, 3, 9, 27, \ldots$
8.
Find the missing number: $6, 11, \_\_, 21, 26$
9.
What is the next number? $2, 7, 4, 9, 6, 11, \ldots$
10.
What is the 10th term of the pattern $7, 12, 17, 22, \ldots$ ?
11.
Find the next two terms: $3, 7, 11, 15, \ldots$
12.
Find the rule and the next term: $5, 10, 20, 40, \ldots$
13.
Find the next term: $2, 3, 5, 8, 12, \ldots$
14.
Find the next two terms: $20, 24, 22, 26, 24, \ldots$
15.
The pattern star, moon, sun, star, moon, sun, ... continues. Which shape is the 25th? Give its position in the block (1 = star, 2 = moon, 3 = sun).
16.
Figure 1 of a tile pattern has $6$ tiles, Figure 2 has $10$ and Figure 3 has $14$ . How many tiles does Figure 10 have?
17.
Sam has 12 dollars and saves 3 dollars every week. After how many weeks will he have 48 dollars?
18.
Mia says the rule for $2, 6, 18, 54$ is "add 4". Check her rule and find the correct next term.