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arentmuskets
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This problem came up in a project I'm doing for work, and I don't have a very extensive math background so I don't know how to solve it. I would appreciate any help you guys could give me.
X1 is a constant
Y1 is a constant
Xn = aXn-1 + bYn-1
Yn = cXn-1 + dYn-1
For all n, for some constants a,b,c,d (for my purposes, all between -1 and 0).
What is the sum X1 + X2 + ... to infinity?
I've tried summing it like an infinite series:
(1/(1-a))(x+b((1/(1-d)y + cx))
That gives me a (poor) approximation, but not the exact answer :-(.
Thank you so much for your help in advance!
X1 is a constant
Y1 is a constant
Xn = aXn-1 + bYn-1
Yn = cXn-1 + dYn-1
For all n, for some constants a,b,c,d (for my purposes, all between -1 and 0).
What is the sum X1 + X2 + ... to infinity?
I've tried summing it like an infinite series:
(1/(1-a))(x+b((1/(1-d)y + cx))
That gives me a (poor) approximation, but not the exact answer :-(.
Thank you so much for your help in advance!
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