(a) Find (a_{1}). (b) Find (a_{2}, a_{3}, ldots, a_{9}). (c) Find (a_{100}). (d) Investigate the sequence (a_{1},...

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(a) Find \(a_{1}\).
(b) Find \(a_{2}, a_{3}, \ldots, a_{9}\).
(c) Find \(a_{100}\).
(d) Investigate the sequence \(a_{1}, a_{2}, \ldots, a_{n}, \ldots\) further.

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