(a) Find a sequence of four distinct real numbers with no decreasing or increasing subsequence of length...

Question:

(a) Find a sequence of four distinct real numbers with no decreasing or increasing subsequence of length 3.
(b) Find a sequence of nine distinct real numbers with no decreasing or increasing subsequence of length 4.
(c) Generalize the results in parts (a) and (b).
(d) What do the preceding parts of this exercise tell us about Example 5.49?