Closed Form of a Recurrence

Closed Form of a Recurrence

IB Year 5 | Grade 11

A sequence \(\{u_n\}\) is defined by \(u_1=5\) and \(u_{n+1}=2u_n+3\) for \(n\in\mathbb Z^+\). Prove that \(u_n=2^{n+2}-3\).

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Answer:\(u_n=2^{n+2}-3\)

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