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Question 10

Solution

Suppose that the sequence X0, X1, X2.... is defined by X0=1, X1=2 and X(K+2)=-5X(K+1)-6X(K), K>=0.
Find a general formula for X(K).

Be sure to include parantheses where necessary, e.g. to distinguish 1/(2k) from 1/2k.

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