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A series represents the sum of an infinite sequence of terms.
What are the series types?
There are various types of series to include arithmetic series, geometric series, power series, Fourier series, Taylor series, and infinite series.
What is an arithmetic series?
An arithmetic series is a sequence of numbers in which the difference between any two consecutive terms is always the same, and often written in the form: a, a+d, a+2d, a+3d, ..., where a is the first term of the series and d is the common difference.
What is a geometic series?
A geometric series is a sequence of numbers in which the ratio between any two consecutive terms is always the same, and often written in the form: a, ar, ar^2, ar^3, ..., where a is the first term of the series and r is the common ratio (-1 < r < 1).
What is a power series?
A power series is an infinite series of the form: ∑(a_n*(x-c)^n), where 'a_n' is the coefficient of the nth term and and c is a constant.