Problem StatementHelen is developing a program for a gaming application that involves generating a sequence of mystical numbers based on the Tribonacci series. She needs to implement a recursive function tribonacci to determine the Tribonacci numbers for various stages of the quest. Write a program to achieve her task.The Tribonacci series is a sequence of numbers defined as the sum of the three preceding terms. 0, 1, 1, 2, 4, 7, 13, and so on.Input format :The input consists of a positive integer n.Output format :The output displays the n terms in the Tribonacci series, separated by a space.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1 ≤ n ≤ 20Sample test cases :Input 1 :2Output 1 :0 1 Input 2 :9Output 2 :0 1 1 2 4 7 13 24 44 Input 3 :18Output 3 :0 1 1 2 4 7 13 24 44 81 149 27

Single File Programming QuestionProblem StatementHelen is developing a program for a gaming application that involves generating a sequence of mystical numbers based on the Tribonacci series. She needs to implement a recursive function tribonacci to determine the Tribonacci numbers for various stages of the quest. Write a program to achieve her task.The Tribonacci series is a sequence of numbers defined as the sum of the three preceding terms. 0, 1, 1, 2, 4, 7, 13, and so on.Input format :The input consists of a positive integer n.Output format :The output displays the n terms in the Tribonacci series, separated by a space.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1 ≤ n ≤ 20Sample test cases :Input 1 :2Output 1 :0 1 Input 2 :9Output 2 :0 1 1 2 4 7 13 24 44 Input 3 :18Output 3 :0 1 1 2 4 7 13 24 44 81 149 274 504 927 1705 3136 5768 10609 Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.

Problem StatementCreate a program that generates and prints the Fibonacci series up to a specified number 'N'. The Fibonacci series is a sequence of numbers in which each number is the sum of the two preceding numbers, starting with 0 and 1. Your program should take an integer input 'N' and display the Fibonacci series up to the Nth term using a while loop.Fibonacci series: 0, 1, 1, 2, 3, 5, 8,... Note: This question is one of the most asked questions in placements.Input format :The input consists of a positive integer N.Output format :The output displays the Fibonacci series up to the Nth term separated by space.Refer to the sample output for the formatting specifications.Code constraints :In this scenario, the test cases fall under the following constraints:1 ≤ N ≤ 20The Fibonacci series starts from 0.Sample test cases :Input 1 :7Output 1 :0 1 1 2 3 5 8 Input 2 :1Output 2 :0 Input 3 :20Output 3 :0 1 1 2 3 5 8 13 21 34 55

A Fibonacci sequence is a sequence of numbers (called Fibonacci numbers) in which each number is the sum of the two preceding ones as following: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... The task is to implement two functions in C a) using recursive function style, F(n) = F(n − 1) + F(n − 2) when n ≥ 2, F(0) = 0, F(1) = 1.

Problem StatementYou have been given a series that follows a specific pattern. The odd-indexed terms, i.e. the 1st, 3rd, 5th, and so on, form a Fibonacci sequence. The even-indexed terms, i.e. the 2nd, 4th, 6th, and so on, are prime numbers arranged in ascending order. The series begins with the numbers 1, 2, 1, 3, 2, 5, 3, 7, 5, 11, 8, 13, 17, and so on.Your task is to write a program that can find the nth term in this series. The program should use control flow statements to alternately generate Fibonacci and prime numbers, depending on whether the term's index is odd or even.Input format :The input consists of an integer n.Output format :The output prints an integer representing the nth term of the given series.

The Tribonacci sequence Tn is defined as follows: T0 = 0, T1 = 1, T2 = 1, and Tn+3 = Tn + Tn+1 + Tn+2 for n >= 0.Given n, return the value of Tn. Example 1:Input: n = 4Output: 4Explanation:T_3 = 0 + 1 + 1 = 2T_4 = 1 + 1 + 2 = 4Example 2: