JavaAlgorithms/Maths/SumOfArithmeticSeries.java

package Maths;

/**
 * In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers
 * such that the difference between the consecutive terms is constant. Difference here means the
 * second minus the first. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic
 * progression with common difference of 2.
 *
 * <p>Wikipedia: https://en.wikipedia.org/wiki/Arithmetic_progression
 */
public class SumOfArithmeticSeries {
  public static void main(String[] args) {

    /* 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 */
    assert Double.compare(55.0, sumOfSeries(1, 1, 10)) == 0;

    /* 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 */
    assert Double.compare(100.0, sumOfSeries(1, 2, 10)) == 0;

    /* 1 + 11 + 21 + 31 + 41 + 51 + 61 + 71 + 81 + 91 */
    assert Double.compare(460.0, sumOfSeries(1, 10, 10)) == 0;

    /* 0.1 + 0.2 + 0.3 + 0.4 + 0.5 + 0.6 + 0.7 + 0.8 + 0.9 + 1.0 */
    assert Double.compare(5.5, sumOfSeries(0.1, 0.1, 10)) == 0;

    assert Double.compare(49600.0, sumOfSeries(1, 10, 100)) == 0;
  }

  /**
   * Calculate sum of arithmetic series
   *
   * @param firstTerm the initial term of an arithmetic series
   * @param commonDiff the common difference of an arithmetic series
   * @param numOfTerms the total terms of an arithmetic series
   * @return sum of given arithmetic series
   */
  private static double sumOfSeries(double firstTerm, double commonDiff, int numOfTerms) {
    return numOfTerms / 2.0 * (2 * firstTerm + (numOfTerms - 1) * commonDiff);
  }
}