Question: 3. [9] Consider the recurrence relation and initial conditions: 23n1'l'4'f1n2 (1025,61125 Show that an = 2( 4) +3 for all n 2 U. [Show means

3. [9] Consider the recurrence relation and initial conditions: 23n1'l'4'f1n2 (1025,61125 Show that an = 2( 4)" +3 for all n 2 U. [Show means "prove in general". Showing that it works for a few terms is not a proof. Hint: use induction.) You must explain every step in your proof completely, for full credit

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