Problem

The powers of a function f: A → A are defined recursively byConsider the arithmetic sequen...

The powers of a function f: A → A are defined recursively by

Consider the arithmetic sequence with first term 2 and common difference 3.

(a) [BB] Find the first ten terms and the 123rd term of this sequence.
(b) [BB] Does 752 belong to this sequence? If so, what is the number of the term where it appears?
(c) Repeat (b) for 1023 and 4127.
(d) [BB] Find the sum of the first 75 terms of this sequence.

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Solutions For Problems in Chapter 5.2

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