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 Tn = a + (n – 1) d, where Tn = nth term and a = first term. Here d = common difference = Tn – Tn–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: