Problem

The powers of a function f: A → A are defined recursively byAn arithmetic sequence begins...

The powers of a function f: AA are defined recursively by

An arithmetic sequence begins 116, 109, 102.

(a) Find the 300th term of this sequence.

(b) Determine whether −480 belongs to this sequence. If it does, what is its term number?

(c) Find the sum of the first 300 terms of the sequence.

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