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2. (a) Find a closed form for the recurrence relation a = 2an-1 + 1, ao = 3 (b) Find a closed form for

2. (a) Find a closed form for the recurrence relation a = 2an-1 + 1, ao = 3 (b) Find a closed form for the recurrence relation annan-1, ag = 2 (c) Show that a = 2-6" is a solution of the recurrence relation an = an-1 +12an-2 +6".

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