Recursive of a Quadratic
What is the recursive equation for the following pattern:
f(0)=5
f(1)=8
f(2)=15
f(3)=26
f(x)=f(x-1)+4x-1
What is the explicit equation for the following pattern:
f(0)=5
f(1)=8
f(2)=15
f(3)=26
f(x)=2x2+x+5
Is it Linear, Exponential, or Quadratic?
f(1)=3
f(2)=6
f(3)=9
f(4)=12
Linear
What is the recursive of the pattern:
4,11,18,25
f(x)=f(x-1)+7
What is the explicit equation of the pattern?
9,14,19,24
f(x)=5x+4
What is the recursive equation?
f(1)=2
f(2)=8
f(3)=17
f(4)=29
f(x)=f(x-1)+3x
What is the explicit equation?
f(1)=2
f(2)=8
f(3)=17
f(4)=29
f(x)=1.5x2+1.5x-1
Is it linear, exponential, or quadratic?
f(1)=2
f(2)=6
f(3)=18
f(4)=54
Exponential
What is the recursive of the pattern?
8,1,-6,-13
f(x)=f(x-1)-7
What is the explicit of the pattern?
-8,-2,4,10
f(x)=6x-14
What is the recursive equation?
f(1)=6
f(2)=12
f(3)=23
f(4)=39
f(x)=f(x-1)+5x-4
What is the explicit equation?
f(1)=6
f(2)=12
f(3)=23
f(4)=39
f(x)=2.5x2-1.5x+5
f(1)= 5
f(2)=9
f(3)=15
f(4)=23
Quadratic
What is the recursive of the pattern?
8,24,72,216
f(x)=3f(x-1)
What is the explicit of the pattern?
5,20,80,320
f(x)=5(4)x-1 or 1.25(4)x
What is the recursive function?
f(1)=-3
f(2)=4
f(3)=19
f(4)=42
f(x)=f(x-1)+8x-9
What is the explicit function?
f(1)=-3
f(2)=4
f(3)=19
f(4)=42
f(x)=4x2-5x-2
Is it linear, exponential, or quadratic?
f(1)=7
f(2)=10
f(3)=17
f(4)=28
Quadratic
What is the recursive of the pattern?
8,-16,32,-64
f(x)=-2f(x-1)
What is the explicit of the pattern?
20,-40,80,-160
f(x)=20(-2)x-1 or -10(-2)x
What is the recursive function?
f(1)=9
f(2)=15
f(3)=27
f(4)=45
f(x)=f(x-1)+6x-6
What is the explicit function?
f(1)=9
f(2)=15
f(3)=27
f(4)=45
f(x)=3x2-3x+9
Is it linear, exponential, or quadratic? What is f(5)?
f(1)=4
f(2)=7
f(3)=13
f(4)=22
Quadratic, f(5)=34
What is the recursive of the pattern?
24,8,8/3,8/9
f(x)=f(x-1)(1/3)
What is the explicit of the pattern?
40,20,10,5
f(x)=40(1/2)x-1 or 80(1/2)x