# Progression Formula List and Definition in Math

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The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d, and so on. Thus nth term of an AP series is **T _{n} = a + (n – 1) d**, where T

_{n}= n

^{th}term and a = first term. Here d = common difference = T

_{n}– T

_{n}

_{–}

_{1}. The sum of n terms is also equal to the formula where l is the last term.

## Basic theoretical information

### Arithmetic progression

Formula *nth* member arithmetic progression:

The ratio between the three neighboring members of the arithmetic progression:

The formula for the sum of an arithmetic progression:

The property of arithmetic progression:

### Geometric progression

Formulas of the *nth* member of a geometric progression:

The ratio between the three neighboring members of the geometric progression:

The formula for the sum of a geometric progression:

The formula for the sum of an infinitely decreasing geometric progression:

Geometric progression property: