I just said my idea. But it isnt have basis. I said that I didnt understand abour stability.What is the basis for saying that y[n] goes to infinity?
For any finite value of n, is not the output a sum of a finite number of input values?
What kind of stability is being asked for? BIBO stability?
it is not about BIBO. Its asked just this system is stable?
But Papabravo said that:
I think this system is stable.
I think stable just means the value of y[n] is bounded for all n.
Ask yourself, "How many values am I adding together for a gin value of n"
Is the number of values for each n finite?
Is each of the numbers I'm including in the sum finite?
From these questions will come the answer.