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Continue the pattern
What's the rule
Fill in the table
Paired numbers
Algebra Expressions
100

2, 4, 6, 8, ___, ___

10, 12

100

2 → 9
3 → 13
4 → 17

×4 + 1

100

What is the value of B?

x: 1, 2, 3, 4
y: 5, 8, 11,b

b = 14

100
Find the rule for the set of paired numbers

(1,3), (2,5), (3,7)

Multiply by 2
100

Rule: add 4
Write as expression using x

x + 4

200

3, 8, 23, ____

Answer: 68
(Pattern: ×3 −1)

200

3 → 5
6 → 11
9 → 17

Multiply by 2, then subtract 1

200

x: 2, 4, 6, 8
y: 6, 10, 14, c

c = 18

(x2 +2)

200

(1,3), (2,5), (3,7) (4, 9)

2x +1


200

Rule: multiply by 3

3x

300

5, 6, 8, 11, 15, ___

Answer: 20
(Increasing differences: +1, +2, +3, +4, +5)

300

2 → 5
4 → 11
6 → 17

×3 − 1

300

x: 1, 3, 5
y: 4, 10, e

e = 16

300

What is the pattern between the paired number set

(1,5), (2,9), (3,13)

4x + 1

300

Rule: multiply by 2, then add 5

2x + 5

400

4, 7, 13, 25, ___

Answer: 49
(Pattern: ×2 −1, ×2 −1, ×2 −1)

400

5 → 8
6 → 11
7 → 14

×3 − 7

400

x: 2, 3, 4
y: 9, 14, f

f = 21

400

(2,7), (4,15), (6,23)

4x - 1

400

Rule: multiply by 4, then subtract 1

4x − 1

500

1, 4, 9, 16, ___

Answer: 25
(Square numbers)

500

1 → 1
2 → 4
3 →9

x²

500

x: 1, 2, 3, 4
y: 3, 7, 13, h

h = 21

500

(1, 2), (2, 5), (3, 10), (4, 17)

Rule: x2+1

500

Rule: double the number, then add 3


2x + 3