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Here are a few recursive definitions for sequences:

• \(a_n = 2a_{n-1}\) with \(a_0 = 1\text{.}\)

• \(a_n = 2a_{n-1}\) with \(a_0 = 27\text{.}\)

• \(a_n = a_{n-1} + a_{n-2}\) with \(a_0 = 0\) and \(a_1 = 1\text{.}\)