Formulas and properties of arithmetic sequence
DefinitionArithmetic sequence (arithmetic progression) — a sequence of numbers a1, a2, a3, ..., in which each member, starting with the second, equal to the sum of the previous member and a constant number d, called the common difference.
n -th term of the sequence is given byan = a1 + (n - 1)d
an = an - 1 + d
Common differenced = an - an - 1
The sum of a finite arithmetic progression is called an arithmetic series.
Formulas of arithmetic series
|Sn =||(a1 + an) · n|
|Sn =||2a1 + (n - 1) d||· n|
Properties of arithmetic sequence
|an =||an + 1 + an - 1|
Factoring: Some special cases Formulas and properties of exponents Formulas and properties of nth root Formulas and properties of logarithms Formulas and properties of arithmetic sequence Formulas and properties of geometrical sequence Trigonometry formulasDerivative formulas Integrals table
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