What is the Similarity Between Sequence and Series? The geometric progression can be of two types: Finite geometric progression and infinite geometric progression. A series formed by using geometric sequence is known as the geometric series for example 1 4 16 64. What is Geometric Sequence and Series?Ī geometric sequence is a sequence where the successive terms have a common ratio. A series can be written using sigma notation. A series formed by using an arithmetic sequence is known as the arithmetic series for example 1 4 7 10. ) What are Arithmetic Sequence and Series?Īn arithmetic sequence is a sequence where the successive terms are either the addition or subtraction of the common term known as common difference. Example of series: Fourier series: f(x) = 4h/π ( sin(x) sin(3x)/3 sin(5x)/5 . In series, the order of the elements is not necessary, the pattern of the numbers is not important, and the order of appearance is not important. In sequence, elements are placed in a particular order following a particular set of rules, a definite pattern of the numbers is important, and the order of appearance of the numbers is important. What is the Difference Between Sequence and Series? Series is formed by adding the terms of a sequence. The sequence is the group or sequential arrangement of numbers in a particular order or set of rules. Sequence and series are used in mathematics as well as in our daily lives.
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