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Consider below recurrence relation f_(n )=f_(n-1)+ f_(n-2) for n ≥ 3. f_(1 )=1 and f_2 =...

Consider below recurrence relation

f_(n )=f_(n-1)+ f_(n-2) for n ≥ 3. f_(1 )=1 and f_2 = 3

(a) Please compute the first seven numbers in this sequence.

(b) Find the closed form for this recurrence relation. Solving the characteristic equation, and solving for constants

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