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For each of the following pairs of functions $ f(n) $ and $ g(n) $, determine whether $ f(n) = O(g(n)) $, $ g(n) = O(f(n)) $, or both. Answer: $ g(n) = O(f(n)) $. Solution: Constant factors can be ignored; we only need to pay attention to the 'largest' term. $ n^2 $ outgrows $ n $ as $ n \rightarrow \infty $.


11.1 (ege.yandex.ru) Алгоритм вычисления значения функции F(n), где n – натуральное число, задан следующим соотношением


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Simple and best practice solution for f(n)=2f(n-1) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.


It follows that the function f (x) is increasing for x ≥ 0, hence the sequence an = f (n) is also increasing. To determine whether the sequence is convergent, notice that.


F(n) = F(n–3) + F(n–2) + F(n–1), при n >3, где n – натуральное число.


We have also seen that there are many such series, the General Fibonacci series, and we need to state two starting terms to determine one particular sequence.


@DavidDubois Yes F(n) = F( n-1 ) - F(n - 2) For all n>=2 else it is given two values that can be any two integers to start the sequence – Anup May 30 '15 at 17:31. Your math is correct. The sequence cycles as you've described.


2) Алгоритм вычисления значения функции F(n), где n – натуральное число, задан следующими соотношениями: F(1) = 1 F(n) = F(n–1) * (n + 2), при n > 1 Чему равно значение функции F(5)? В ответе запишите только натуральное число.


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