Given the sequence:
u0=3 u1=22
un+2= (12un+1)-(20un)
To find the closed for we use the equation
r^2-12r+20=0
So, why do we use that equation, how does it work? Why are those signs switched, so positive becomes a negative and vice versa?
I know the answer and how to get it, so
un=2^n+2x10^10
I just need some help on how all this works.
Thanks.
Hello, mark090480!
Here's a primitive explanation . . .
Given the sequence: .
To find the closed for we use the equation .
So why do we use that equation, how does it work?
We have: .
Assume that is an exponential function: .
Then we have: .
Divide by
Got it?