If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line. <span>If a system has no solution, it is said to be </span>inconsistent. <span>The graphs of the </span>lines<span> do not intersect, so the graphs </span>are parallel<span> and there is no solution.</span>
Answer:
a_n = 2^(n - 1) 3^(3 - n)
Step-by-step explanation:
9,6,4,8/3,…
a1 = 3^2
a2 = 3 * 2
a3 = 2^2
As we can see, the 3 ^x is decreasing and the 2^ y is increasing
We need to play with the exponent in terms of n
Lets look at the exponent for the base of 2
a1 = 3^2 2^0
a2 = 3^1 2^1
a3 = 3^ 0 2^2
an = 3^ 2^(n-1)
I picked n-1 because that is where it starts 0
n = 1 (1-1) =0
n=2 (2-1) =1
n=3 (3-1) =2
Now we need to figure out the exponent for the 3 base
I will pick (3-n)
n =1 (3-1) =2
n =2 (3-2) =1
n=3 (3-3) =0
We have 
.
To find inverse function 
we substitute x with and vice-versa to get
Now solve for . Note that I will use 
instead.
So we find that 
.
Hope this helps.
<span>nth term = 7n - 3
n = 1,2,3,4....</span>
