x2 +11x
x(x+11)
Common difference of -6
Arithmetic
formula for exponential growth
a (1 + r)x
x+y=5
2x−y=7
x=4
y=1
53
125
x2-4x-45
9, 13, 19, 27..
formula for exponential decay
f(x) = a (1 - r)x
a = initial amount
1-r = decay factor
x= time period
4x+5y=11
x−y=5
x=4
y=-1
x4+x4
2x4
x2+17x+72
(x+8)(x+9)
an= an-1+d
Recursive Formula
does 1,000,000(1.05)8 represent exponential growth or decay?
exponential growth
2x−y=−5
y=1−3x
a=3
b=0
2x3y+x2y3
2x3y+x2 y3
x2+10x+24
(x+4)(x+6)
√9, √18, √27, √36, √45...
Geometric
Does 10(0.92)5 represent exponential growth or decay?
exponential decay
2y + 3x = 38
y − 2x = 12
x=2
y=16
21y7/7y4
3y3
18x3 +3x2 - 6x.
3x(2x - 1)(3x + 2)
Does this form an arithmetic sequence?
-3√7, 6√7, 15√7, 24√7, 33√7
What is the initial value in y=50(1.15)x
50
3x – 5y = -23
5x + 3y = 7
x=-1
y=4
(x3a4y6)(y6a2)(x3y2)
x6a6y14