If the solution of the recurrence relation αun−1 +βun−2 = f(n),(n ≥ 2) is un = 1−2n+3.2 n , then determine the values of α,β and f(n).
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Given recurrence relation is-
For solving such equation the value of coefficient is 1 so
The solution of the above equation can be written by characterstics root method as-
The value of f(n) must be the value of the nin homogeneous part of the solution i.e.