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Consider the sequence defined by the recursive definition a 1 = 3 and a n = 2a n-1 +3. Show that the closed formula an

Consider the sequence defined by the recursive definition a ₁ = 3 and a n = 2a _n-1 +3. Show that the closed formula an = 3 . (2 ⁿ – 1) by mathematical induction.

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