Quadratic Sequence

sathishmepco · sathishmepco · commit b46eff1185c9 · 2020-07-31T22:52:55.000+05:30
diff --git a/InterviewPrograms/src/com/java/series/QuadraticSequence.java b/InterviewPrograms/src/com/java/series/QuadraticSequence.java
@@ -0,0 +1,51 @@
+package com.java.series;
+
+/*
+ * Quadratic Sequence
+ * 
+ * A quadratic sequence is a sequence of numbers 
+ * in which the second difference between 
+ * any two consecutive terms is constant.
+ * 
+ * Say the series
+ * 1 2 4 7 11 16 22 29 .....
+ * 
+ * It is simple to calculate the next term
+ * ith term = (i-1)th term + (i-1)
+ * where i starts from 1
+ * 
+ * term 1 : 1
+ * term 2 = 1 + 1 = 2
+ * term 3 = 2 + 2 = 4
+ * term 4 = 4 + 3 = 7
+ * term 5 = 7 + 4 = 11
+ * term 6 = 11 + 5 = 16
+ * term 7 = 16 + 6 = 22
+ * 
+ * The Series is 
+ * 1, 2, 4, 7, 11, 16, 22
+ */
+public class QuadraticSequence {
+	public static void main(String[] args) {
+		int n = 15;
+		System.out.println("The Series is : ");
+		int prevTerm = 1;
+		System.out.print(prevTerm+", ");
+		for(int i=2; i<=n; i++){
+			prevTerm = prevTerm + i-1;
+			System.out.print(prevTerm+", ");	
+		}
+	}
+}
+/*
+	OUTPUT
+	n = 10
+	The Series is : 
+	1, 2, 4, 7, 11, 16, 22, 29, 37, 46,
+	
+	OUTPUT
+	n = 15
+ 	The Series is : 
+	1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106,
+	 	
+*/
