public class Recursive{ public static void main(String[] args){ System.out.println("Summation of 5 System.out.println("Summation of 1 System.out.println("Summation of 10 System.out.println("Summation of 1 = System.out.println("Summation of 7 = "+summation(7)); "+summation(5)); "+summation(1)); '+summation(10)); "+summation(1)); System.out.println("The first position value in the Fibonacci Sequence is "+fibonacciSequence(1)); System.out.println("The third position value in the Fibonacci Sequence is "+fibonacciSequence(3)); System.out.println("The seventh position value in the Fibonacci Sequence is "+fibonacciSequence(7)); System.out.println("The twentith position value in the Fibonacci Sequence is "+fibonacciSequence(20)); } public static int summation(int n){ //TODO: Create a recursive method that will find the summation of n for all positive n return -1; } public static int fibonacciSequence(int positionN){ //TODO: Create a recursive method that will find the Nth position of the Fibonacci sequence return -1;

Keeping in mind data structures, recursion, and using Java What is the value returned from the following method when it is called with the value 5? int mystery(int x, int y) { if (y == 0) return 1; if (y == 1) return x; return x * mystery(x, y-1); }

Write a Python function called which reads as input an integer (int) n greater than or equal to 10 and finds the solution r of the following equation: r2 – n + 10 = 0 The function displays the message "The solution is r ", where r is replaced by the value of r which is the solution of the equation. The type of r is real (float). At the end, the function returns the value of the variable r. This function therefore makes a display and a return.

Demonstrate Recursion Assignment Instructions Overview The programs we’ve discussed so far are generally structured as methods that call one another in a hierarchical manner. For some problems, it’s useful to have a method call itself—this is known as a recursive method. Such a method can call itself either directly or indirectly through another method. Recursion is an important topic discussed at length in upper-level computer-science courses. Instructions Write a recursive method printArray() that displays all the elements in an array of integers, separated by spaces. The array must be 100 elements in size and filled using a for loop and a random number generator. The pseudo-code for this is as follows: //Instantiate an integer array of size 100 //fill the array For (int i=0; i<array.length; i++) Array[i] = random number between 1 and 100 inclusive printArray(integer array); For this assignment make sure that your screen shots show your program running and that your runtime...