Patterns & Sequences

Growing & Shrinking Sequences

100

3, 6, 9, 12, ___

15

200

50, 45, 40, 35, ___

30

300

2, 6, 12, 20, ___

30
(+4, +6, +8)

400

100, 90, 70, 40, ___

0
(-10, -20, -30)

500

1, 4, 9, 16, ___

25
(Square numbers)

Alternating & Two-Rule Patterns

100

1, 3, 5, 7, ___

9

200

1, 4, 6, 9, 11, ___

14
(+3, +2)

300

2, 6, 12, 18, 22, 28, ___

34
(+4, +6, +6) ← trick: consistent +6 after first step

400

5, 10, 8, 16, 14, ___

28
(×2, −2)

500

3, 6, 5, 10, 9, ___

18
(×2, −1)

Shape & Color Sequences

100

▲ ● ▲ ● ▲ ___

●

200

■ ■ ▲ ■ ■ ▲ ___

■

300

Red ▲, Blue ●, Red ▲, Blue ●, ___

Red ▲

400

Red ▲, Red ●, Blue ▲, Blue ●, Red ▲, ___

Red ●
(Color repeats twice, shape alternates)

500

▲ ▲ ● ● ▲ ▲ ● ● ___ ___

▲ ▲
(Pattern unit = ▲ ▲ ● ●)

What’s the Rule?

100

2, 4, 6, 8

Add 2

200

10, 20, 40, 80

Multiply by 2

300

1, 4, 6, 9, 11

Add 3, then add 2 (repeat)

400

100, 95, 85, 80, 70, 65

Subtract 5, then subtract 10

500

2, 6, 18, 54

Multiply by 3

Challenge & Reasoning

100

Which grows faster?
A) +3 each time
B) +5 each time

B

200

Which number does NOT belong?
2, 4, 8, 16, 20

20

300

What comes next?
1, 1, 2, 3, 5, ___

8

400

Create a rule for:
3, 9, 27

Multiply by 3

500

Which is harder to predict and why?
A) +5 pattern
B) +2, +7 repeating

B (more than one rule)