Sequences and Series
- 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}.
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- 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
a1, a2, a3 … an –1 , an, …
Here, a1, a2 … etc. are called the terms of the sequence and an is called the general term or nth of the sequence.
- Fibonacci sequence: An arrangement of numbers such as 1, 2, 4, 6, 10 … has no visib…
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