Progression In Math

Progression in maths can be defined as sequence of terms that increases in a particular pattern. There are different types of progression in Math which are mentioned below:
 
Arithmetic progression
Geometric progression
Harmonic progression.
Let's have small introduction about all progression. First we will see Arithmetic Progression.
Arithmetic progression can be defined as a sequence of number in which we get difference between two successive Numbers which is always constant. Representation of an arithmetic progression is a, a + d, a + 2d, a + 3d, a + 4d …...... a + (n – 1) d, here value of 'a' denotes initial value and 'd' denotes common difference. For example: 1, 2, 3, 4, 5, 6 here initial value of A.P is 1 and difference between two number is also 1. Formula for arithmetic progression is given below:
If we find n th term of A.P. then formula is given by = a + (n – 1)d.
If we find sum of 'n' terms in A.P. then formula is given by = n / 2 (2a + (n – 1) d).
Geometric progression: - Geometric progression can be defined as sequence of number in which we get Ratio of two successive numbers which is a constant. Representation of Geometric Progression’s’ is given by: a, ar, ar², ar³......., ar^{(n – 1)}. Here initial number is given as 'a' and common ratio is given as 'r'. For example: 1, 2, 4, 8, 16. here the initial number is 1 and common ratio is 2.
Harmonic progression: - Harmonic progression can be defined as sequence of number in which we get difference of successive denominator of Fractions which is equal. Representation of harmonic Functions is given as: a, a/d, a/(a + d), a/(a + 2d),..... a/a + nd). This is all about progression in maths.