Continue the pattern
2, 4, 6, 8, ___, ___
10, 12
2 → 9
3 → 13
4 → 17
×4 + 1
What is the value of B?
x: 1, 2, 3, 4
y: 5, 8, 11,b
b = 14
(1,3), (2,5), (3,7)
Rule: add 4
Write as expression using x
x + 4
3, 8, 23, ____
Answer: 68
(Pattern: ×3 −1)
3 → 5
6 → 11
9 → 17
Multiply by 2, then subtract 1
x: 2, 4, 6, 8
y: 6, 10, 14, c
c = 18
(x2 +2)
(1,3), (2,5), (3,7) (4, 9)
2x +1
Rule: multiply by 3
3x
5, 6, 8, 11, 15, ___
Answer: 20
(Increasing differences: +1, +2, +3, +4, +5)
2 → 5
4 → 11
6 → 17
×3 − 1
x: 1, 3, 5
y: 4, 10, e
e = 16
What is the pattern between the paired number set
(1,5), (2,9), (3,13)
4x + 1
Rule: multiply by 2, then add 5
2x + 5
4, 7, 13, 25, ___
Answer: 49
(Pattern: ×2 −1, ×2 −1, ×2 −1)
5 → 8
6 → 11
7 → 14
×3 − 7
x: 2, 3, 4
y: 9, 14, f
f = 21
(2,7), (4,15), (6,23)
4x - 1
Rule: multiply by 4, then subtract 1
4x − 1
1, 4, 9, 16, ___
Answer: 25
(Square numbers)
1 → 1
2 → 4
3 →9
x²
x: 1, 2, 3, 4
y: 3, 7, 13, h
h = 21
(1, 2), (2, 5), (3, 10), (4, 17)
Rule: x2+1
Rule: double the number, then add 3
2x + 3