Geometric and Arithmetic progression
A series is defined as a set of number whose sum equals to a constant A. for example, 4 + 10 + 46 = 60. Sometimes, a series is also known as progression. There are two types of series: Arithmetic and geometric series. In arithmetic series, successive terms differ by the same constant, d. For example, b + (b +3d) + (b +6b) + (b+9b) + . . . + (b + (n-1)d. The sum of terms in an arithmetic series Sn =, where a = first term of the series. In geometric series, successive terms have a common ratio. In this case, the sum of first n terms Sn = b + br + + + . . . + + . The last term of the expression is (Bluman, 2005).
Problems in Real application
Problem 1 ...