6) There are other recursive functions such as the Lucas Sequence, how can you apply what you have learned to it? a) Iteratively computation b) Recursive computation c) Recursive computation with dynamic programming.
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- Answer the given question with a proper explanation and step-by-step solution. C++ 11.12 LAB: Fibonacci sequence (recursion) The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the Fibonacci() function, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1. Ex: If the input is: 7 the output is: Fibonacci(7) is 13 Note: Use recursion and DO NOT use any loops. main.cpp #include <iostream>using namespace std; int Fibonacci(int n) {/* Type your code here. */ } int main() {int startNum;cin >> startNum;cout << "Fibonacci(" << startNum << ") is " << Fibonacci(startNum) << endl;return 0;}Question 2 Consider the following algorithm: g1 = 7 g2 = 6 for k in range(3,8): gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm? Your Answer: Question 2 options: AnswerExercise 2. Give a recursive definition for the factorial operation k! n! for n ≥ 1. (remember that 1! = 0! = 1) Provide an algorithm in pseudo code to evaluate k! n! as one function Provide an algorithm in pseudo code to evaluate k! n! as three functions Evaluate the complexity of the algorithm at point 2 Evaluate the complexity of the algorithm at point 3
- Question 2 Q10. Consider the following algorithm: g1 = 8 g2 = 5 for k in range(3,8): gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm?Question 4 Q10A. Consider the following algorithm: g1 = 7 g2 = 4 for k > 2: gk = (k-1)·gk-1 - gk-2 What is term g6 of the recursive sequence generated as a result of executing this algorithm?Question 1 (a). Iteration and recursion are two very fundamental concepts underlying things we do in computing. (i). In your own words, compare and contrast the terms Iteration and Recursion in the context of solving problems in business, science or engineering; and explain the areas of use (in practice) of each of them. (ii). Using practical examples in business, science or engineering, explain reasons why people still use recursion to solve problems even-though iteration is more efficient. (b). In your own words, describe how Agape Savings and Loans Company can use singly-linked lists to keep track of customers that its Susu collectors (or mobile bankers) have won for the company over the last 2 months; and draw a suitable diagram (with hypothetical data) to illustrate your answer. (c). In many fields of human endeavour, we use stacks on daily basis. Provide and explain two practical examples where we use stacks in each of the following fields: (i). Education (ii). Business (iii).…
- Q10. Consider the following algorithm: g1 = 7 g2 = 6 For k starting at 3 and ending with 8: gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm?Develop two algorithms, one based on a loop structure and the other on a recursive structure, to print the daily salary of a worker who each day is paid 2.5 times the previous day’s salary (starting with one penny for the first day’s work) for a 30-day period. What problems relating to number storage are you likely to encounter if you implement your solutions on an actual machine?Question 4 Q10A. Consider the following algorithm: g1 = 6 g2 = 7 for k > 2: gk = (k-1)·gk-1 - gk-2 What is term g6 of the recursive sequence generated as a result of executing this algorithm? Your Answer: Question 4 options: Answer
- To achieve the termination of recursion, identify three distinct types of recursion along with a high-level description of each kind and a technique that comes under each category.Provide a high-level overview of three distinct types of recursion, each with its own associated procedure, that may be used to achieve a recursion termination.In computer science, the dining philosophers’ problem is an example problem often used in concurrent algorithm design to illustrate synchronization issues and techniques for resolving them. It was formulated in 1965 as a student exam exercise. It is still used now although many updates and solutions have been presented through the years. Give a brief explanation of the dining philosophers’ problem. Include the problem’s rules and steps.