Question: 2. Consider the following difference equation and initial condition(s). In each case, verify that the expression given for an (i) is a solution of the

2. Consider the following difference equation and initial condition(s). In each case, verify that the expression given for an (i) is a solution of the equation (ii) satisfies the initial condition(s).

(a) an = 2(1/3)n satisfies 3an = an1, a0 = 2.

(b) an = 2n n 2 satisfies an+1 3an + 2an1 = 2n 3, a0 = 1, a1 = 1.

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