The phrase "a rational sequence of" is correct and usable in written English.
It can be used when describing a logical or coherent order of events, ideas, or actions.
Example: "The study presents a rational sequence of steps to solve the complex problem effectively."
Alternatives: "a logical series of" or "a coherent progression of".
However, since individual mutations do not tend to confer pan-antagonist resistance, the development of real-time strategies to monitor for AR mutation emergence could guide rational sequencing of AR pathway inhibitors.
This, together with Possibility of Vindication gives us Probabilism via the following theorem: The reason is that, while relative frequencies are always rational numbers, the limit of an infinite sequence of rational numbers may be an irrational number.
…is the limit of a Cauchy sequence of rational numbers.
{{further2|[[Cauchy sequence]]}} Another approach is to define a real number as the "'limit of a Cauchy sequence of rational numbers"'.
A constructive real number is a sequence of rationals (rn) = r1, r2, … such that, for any k, a number n can be computed in such a way that |rn+p − rn| ≤ 1/k.
Since any irrational number can be expressed as the limit of a sequence of rational numbers, exponentiation of a positive real number b with an arbitrary real exponent x can be defined by continuity with the rule : b^x = \lim_{r (\in\mathbb Q \to x} b^r\quad(b \in\mathbb R^+,\,x\in\mathbb R) where the limit as r gets close to x is taken only over rational values of r.
A Liouville number can thus be approximated 'quite closely' by a sequence of rational numbers.
A real number is essentially defined to be the a limit of a Cauchy sequence of rationals, lim an.
Let a ∈ R. Then a = lim n → ∞ r n, where { r n } is a sequence of rational numbers.
On the debit side, a sequence of rational actions will often end in complete delusion, as the German poet Christian Morgenstern told his Wilhelmine readers.
