Question 69234
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? 
Let's use an example:
2,4,6,8,10,12,14,16,etc.
First Digit = 2
Second Digit = 4
(1,2) and (2,4)
m = 2/1
y = 2x
x = 3
y = 6
The line is linear.
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
Let's use an example:
1,3,9,27,81,etc.
(1,1) and (2,3)
m = 2/1
y = 2x - 1
x = 3
y = 5 the value should be 9
Not Linear
Quadratic? what is the vertex? let's leave that
Exponential?
(0,1/3)
y = a*b^x
1/3 = a*1
y = (1/3)b^x
1 = (1/3)b
3 = b
y = (1/3)(3^x) = 3^(x - 1)
x = 3
y = 3^2 = 9
The line is exponential.
The rest is self explanatory.