A Linearly Bounded Sequence

Problem

A sequence $\{a_n\}$ satisfies $a_1=1$ , $a_{n+3}\leqslant a_n+3$ , and $a_{n+2}\geqslant a_n+2$ for all $n$ . Find $\{a_n\}$ .

Answer

Solution

Difficulty	8/10
Topics	Arithmetic Progression, sequences

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