Progression can be defined as arrangement of terms in which sequence of terms follow some conditions. There are different types of progression in maths which are as follows: Arithmetic progression, Geometric progression and Harmonic progression. Arithmetic progression can be defined as an arrangement of numbers such that difference between any two consecutive numbers is constant. Generally, representation of an arithmetic progression is given as p, p + d, p + 2d, p + 3d, p + 4d …...... p + (n – 1) d, here value of 'p' denotes initial value and 'd' denotes common difference. For example: 3, 6, 9, 12, 15 here initial value of A.P. is 3 and difference between two numbers is also 3. Some formulae are defined for arithmetic progressions which are shown below.
Nth term |
P + (n – 1) d |
Sum of nth term |
N/2 (2p + (n – 1) d) |
Sum of square numbers |
N (n + 1) (2n + 6) / 6 |
s, t, u in A.P |
T = (s + u)/2 |
Geometric progression can be defined as arrangement of number in which ratio of two successive numbers is constant. Generally representation of geometric progression is given by: p, pd, pd......., pd. Here initial number is 'p' and common ratio is 'd'. For example: 1, 2, 4, 8, 16, 32. Here initial number is 1 and common difference is 2.
Harmonic progression can be defined as arrangement of number in which difference of successive denominator of fractions are equal. Generally representation of harmonic function is given as: p, p/d, p / (p + d), p / (p + 2d),..... p / (p + nd). This is all about types of progressions in mathematics.
Arithmetic progression is a sequence in mathematics that progresses in such a way that the difference between two consecutive numbers is constant and the constant difference is given by (d). It can be explained as (p1) is the initial term of the successive series and (d) is the difference between them then the n^{th} term is given by the arithmetic progression (p...Read More
Geometric Progressions or GP are type of mathematical progressions in which each number in the series is obtained by multiplying the preceding number by a constant factor. We can also say that in a geometric progression there is a fixed ratio maintained between every two consecutive terms in the series. Say, if we have a GP in which the first number is "A" and t...Read More
Arrangement of numbers in which difference of successive denominator of fractions is equal is known harmonic progression. Harmonic function is represented by: a, a/d, a/(a + d), a/(a + 2d),..... a/a + nd). Here 'a' is initial value and 'd' is common difference between two consecutive values. In other words harmonic progression is an arrangement that is ob...Read More
Progression refers to increment or progress in a sequence of numbers in a particular format or following a particular way. Types of progression in mathematics are of three types that are Arithmetic progression, Geometric progression and Harmonic progression. An arithmetic progression is defined as sequence of numbers in a particular format ...Read More