# Rec Module.javax RecursionTest.java Viewer.java A4 Av package modules; 2 3 public class RecModule…

Rec Module.javax RecursionTest.java Viewer.java A4 Av package modules; 2 3 public class RecModule { 4 5 6 14 8 public static int fac(int n) { //TODO: COMPLETE BODY if(n==0) return 1; else return 0; } 9 10 11 12 13 14 public static boolean isPalindrome (String s) { //TODO : COMPLETE BODY return false; } 15 16 17 18 19 public static double pow(double x, int n) { //TODO: COMPLETE BODY return 0; } 20 21 22 o 23 24 25 public static int sum(int n) { //TODO : COMPLETE BODY return 0; } 26 27 28 } 29 Favorites Build Git E TODO Problems Profiler Terminal Intellij IDEA 2021.2.3 available // Update… (19 minutes ago) Event Log 9:13 LF UTF-8 4 spaces P main 2

1. Complete the body for the recursive method fac(n)which computes n! (n factorial) for n >= 0. Note: n! = n(n – 1) (n – 2) (n – 2)… (2) (1), where n > 0 and zero factorial, 0! = 1.
2. Complete the body for the recursive method sum(n)to compute the sum of the first n positive integers.
3. Complete the body for the recursive method pow(x,n)for computing xn, for a positive integer n, and real number x.
4. Complete the body for the recursive method isPalindrome(str)to determine if a string of text is a palindrome. This method accepts a String and returns true if the string reads the same forwards as backwards. The string is trivially true for empty or one(1) letter strings. Hint: You should make use of the subtring and charAt methods of the String.
5. Run the Viewer of the Sierpinski Triangles and give a description of what you observed as it relates to recursion. Write a short summary (2-3 sentences is enough) of your observations. Feel free to explain what the recursive solution is doing by checking out its ControlPanel.

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