Ononot — The recurrence an = 2a{n-1} + 2 with a0 = 3 has the form an

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Recurrence Relationseasy

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The recurrence $a_n = 2a_{n-1} + 2$ with $a_0 = 3$ has the form $a_n = A \cdot 2^n + C$ where $C$ is the constant particular solution. Find $a_3$ .