Add Ex 18.5

Author: jsquared21

Diff for: Exercise_18/Exercise_18_05/Exercise_18_05.class

@@ -0,0 +1,26 @@
+/*********************************************************************************
+* (Sum series) Write a recursive method to compute the following series:         *
+*                                                                                *
+*   m(i) = 1 / 3 + 2 / 5 + 3 / 7 + 4 / 9 + 5 / 11 + 6 / 13 + ... + i / (2i + 1)  *
+*                                                                                *
+* Write a test program that displays m(i) for i = 1, 2, . . ., 10.               *
+*********************************************************************************/
+public class Exercise_18_05 {
+	/** Main method */
+	public static void main(String[] args) {
+		// Display m(i) for i = 1 - 10
+		System.out.println("\n i    m(i)");
+		System.out.println("-----------");
+		for (int i = 1; i <= 10; i++) {
+			System.out.printf("%2d%8.2f\n", i, m(i));
+		}
+	}
+
+	/** Method for computing m(i) */
+	private static double m(double i) {
+		if (i == 0) // Base case
+			return 0;
+		else
+			return i / (2 * i + 1) + m(i - 1); // Recursive call
+	}
+}