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Sequence and Series Assignment Help, Algebraic Mathematics, Math Help
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Sequence and Series
Defining Sequence
Mathematics sequence is an ordered list of events or objects. For example Set which has members or known as elements/terms and number of items, possible infinite that is determined as the length of the sequence, thus sequence is considered in discrete function. i.e. (A, B, C) is a sequence of letters that differs from sequence of (C, B, A) in ordering. Sequence can be finite or infinite. For infinite sequence example (2, 4, 6, 8, …….). Infinite sequence is known as streams.
Defining Series
A series is constructed as the sum of the terms of a sequence. Finite sequences and series have determined if first and last terms are defined, whereas infinite sequences and series are determined last term is not defined and continues to infinite.
In mathematics, given an infinite sequence { a
_{n}
} generally a numbers where a series is generally the result of adding all those terms together: a
_{1}
+ a
_{2}
+ a
_{3}
+ • • •. I + • • •. It can be clearer with showing the summation symbol ∑.
Infinite Series
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