Different types of Sequences

Introduction:

A set of numbers arranged in a definite order according to some definite rule is called a sequence.

For example: Population of human beings at different times form a sequence

Types of Sequences

1) Finite sequence:

A type of sequence containing finite number of terms is called a finite sequence.

For example: Sequence of ancestors is a finite sequence since it contains 10 terms.

(a fixed number).

2) Infinite sequence:

A sequence, which is not a finite sequence, means it is called infinite sequence.

For example:

The sequence of successive quotients mentioned above is an infinite sequence, infinite in the sense that it never ends.

3) Fibonacci sequence:

In fact, we see that the nth term of this sequence can be written as an = 2n, where n is a natural number. Similarly, in the sequence of odd natural numbers 1, 3, 5… the nth term is given by the formula, an = 2n – 1, where n is a natural number.