What is the difference equation of the system?

[Elias_HH]

Homework Statement

Given is a discrete transfer element with the following impulse response that
goes on like this to innity

Relevant Equations

N/A

Hey guys, what is the difference equation of the signl seen in the figure ?

my suggestion is: y(k) = 2u(k) + 2u(k-1) + 2u(k-2) - y(k-6)

 

[vela]

The term $y(k)$ appears on both sides of the equation. Try subtracting it out. Does the result make sense?

 

[Elias_HH]

The term $y(k)$ appears on both sides of the equation. Try subtracting it out. Does the result make sense?

Ouh, sorry...my fault. i forgot the "k-6"