Sequence and Series of Real Numbers
 Sequence: A sequence is an arrangement of numbers in definite order according to some rule.
Also, we define a sequence as a function whose domain is the set of natural numbers or some subset of the type {1, 2, 3… k}.

 A sequence containing finite number of terms is called a finite sequence.
 sequence containing infinite number of terms is called an infinite sequence.
 A general sequence can be written as
a_{1}, a_{2}, a_{3} … a_{n –}_{1 , }a_{n}, …
Here, a_{1}, a_{2} … etc. are called the terms of the sequence and a_{n}_{ }is called the general term or n^{th} of the sequence.
 Fibonacci sequence: An arrangement of numbers such as 1, 2, 4, 6, 10 … has no visible pattern. However, the sequence is generated by the recurrence relation given by
This sequence is call…
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