Generate the Series

Author: sathishmepco

InterviewPrograms/src/com/java/series/ArithmeticProgression.java

@@ -4,7 +4,7 @@
 
 /*
  *  Arithmetic Progression
- *  
+ *  -----------------------
  *  In mathematics, an arithmetic progression (AP) 
  *  or arithmetic sequence is a sequence of 
  *  numbers such that the difference between the 

InterviewPrograms/src/com/java/series/EvenNumberSeries.java

@@ -3,8 +3,8 @@
 import java.util.Scanner;
 
 /*
- * Print the EVEN number series
- * 
+ * EVEN Number Series
+ * ------------------
  * 0 2 4 6 8 10 12 14 ....
  * 
  * In the for loop, either use i++, check i is even and print

InterviewPrograms/src/com/java/series/GeometricProgression.java

@@ -4,7 +4,7 @@
 
 /*
  *  Geometric Progression
- *  
+ *  ---------------------
  *  In mathematics, a geometric progression, also known 
  *  as a geometric sequence, is a sequence of numbers 
  *  where each term after the first is found by multiplying 
@@ -32,6 +32,7 @@
  *  9 = 256  * 2 = 512
  *  10 = 512 * 2 = 1024
  */
+
 public class GeometricProgression {
 	public static void main(String[] args) {
 		Scanner scanner = new Scanner(System.in);

InterviewPrograms/src/com/java/series/OddNumberSeries.java

@@ -3,14 +3,15 @@
 import java.util.Scanner;
 
 /*
- * Print the ODD number series
- * 
+ * ODD Number Series
+ * ------------------
  * 1 3 5 7 9 11 13 15 17 19 .....
  * 
  * In the for loop, either use i++, check i is odd and print
  * Else in the for loop use i+=2 then print i value
  * i starts with value 1
  */
+
 public class OddNumberSeries {
 	public static void main(String[] args) {
 		Scanner scanner = new Scanner(System.in);

InterviewPrograms/src/com/java/series/PatternSeries.java

@@ -11,6 +11,7 @@
  * and append 3 for every iteration
  * 
  */
+
 public class PatternSeries {
 	public static void main(String[] args) {
 		Scanner scanner = new Scanner(System.in);
@@ -45,5 +46,5 @@ public static void main(String[] args) {
 	Enter the N value for the series : 10
 	3 33 333 3333 33333 333333 3333333 33333333 333333333 -961633963
 	Using String approach: 
-	3 33 333 3333 33333 333333 3333333 33333333 333333333 -961633963
+	3 33 333 3333 33333 333333 3333333 33333333 333333333 3333333333 
 */

InterviewPrograms/src/com/java/series/PrimeNumberSeries.java

@@ -2,17 +2,18 @@
 
 /*
  * Prime Number Series
- * 
+ * --------------------
  * 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ....
  * 
  * Prime Number
- * 
+ * ------------
  * A prime number is a natural number greater than 1 
  * that is not a product of two smaller natural numbers. 
  * 
  * A natural number thats divisible only by itself and 1.
  *  
  */
+
 public class PrimeNumberSeries {
 	public static void main(String[] args) {
 		int n = 100;

InterviewPrograms/src/com/java/series/QuadraticSequence.java

@@ -2,7 +2,7 @@
 
 /*
  * Quadratic Sequence
- * 
+ * ------------------
  * A quadratic sequence is a sequence of numbers 
  * in which the second difference between 
  * any two consecutive terms is constant.
@@ -24,6 +24,15 @@
  * 
  * The Series is 
  * 1, 2, 4, 7, 11, 16, 22
+ * 
+ *  for values i = 1 to n
+ *  1 = ( (1 * (1-1) ) / 2) + 1 = 1 
+ *  2 = ( (2 * (2-1) ) / 2) + 1 = 2
+ *  3 = ( (3 * (3-1) ) / 2) + 1 = 4
+ *  4 = ( (4 * (4-1) ) / 2) + 1 = 7
+ *  5 = ( (5 * (5-1) ) / 2) + 1 = 11
+ *  6 = ( (6 * (6-1) ) / 2) + 1 = 16
+ *  
  */
 public class QuadraticSequence {
 	public static void main(String[] args) {

InterviewPrograms/src/com/java/series/Series1.java

@@ -3,7 +3,7 @@
 /*
  * Print the following Series
  * 2 9 28 65 126 217 344
- * 
+ * -------------------------
  * for i-th element
  * (i^3)+1
  * 
@@ -16,6 +16,7 @@
  * i = 7 => 7^3+1 = 343 + 1 = 344
  * 
  */
+
 public class Series1 {
 	public static void main(String[] args) {
 		int n = 10;

InterviewPrograms/src/com/java/series/Series5.java

@@ -5,7 +5,7 @@
 /*
  * 	Write Java program to generate the following Series
  * 
- * 	1 2 3 7 11 16 22 29
+ * 	1 2 4 7 11 16 22 29
  * 
  * 	Solution is 
  *  i-th value = ( (i * (i-1) ) / 2) + 1