I need to solve this using iteration method
y <t> = 0.8 y <t-1> +1
Hello, molimoli!
Is there any more information . . . like the first term?
I'm not familiar with the term "interation method", but I can solve it.I need to solve this using iteration method: .
. . I'll change the notation to a more convenient form (for me).
We have: .
We conjecture that is an exponential function: .
Subtract [2] - [1]: .
Multiply by 5, divide by
Factor and solve: .
Hence, the function is of the form: .
Suppose the initial term is: .
. . Then: .
Then we have:
Subtact [3] - [4]: .
Substitute into [3]: .
Therefore: .
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In the original notation: .