What is sequence

Sequence

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

or

A sequence is a function whose domain is the set N of natural numbers.

It is customary to denote a sequence by a letter 'a' and the image a(n) or t(n), n Î N under 'a' by a_n or t_n.

Examples:

1, 3, 5, 7…..... (adding 2 to every term)

1, 4, 16, 64 … (Multiplying by 4 every term)

20, 17, 14 … . (add -3 to every term)

The different numbers in a sequence are called terms of sequence.

The subscripts denote the position of the term.

In the second example, 4 is the second term, and 14 is the third term in the third example.

The nth term of a sequence is called the general term of the sequence and is usually denoted by a_n or t_n.

Hope you liked the above explanation. Please leave your comments, if you have any doubts.