Sequence

Sequence

## Definition / Concept

A sequence is an ordered list of numbers formed according to a definite rule.

A sequence can be represented as:

$$a_1,a_2,a_3,\ldots,a_n,\ldots$$

## Terminologies

- General term → $$a_n$$, the $$n$$th term of the sequence.

- First term → $$a_1$$.

- Finite sequence → Sequence having a finite number of terms.

- Infinite sequence → Sequence continuing indefinitely.

## Formula

The $$n$$th term of a sequence is generally represented by:

$$a_n=f(n)$$

## Usage

- Used to represent ordered numerical patterns and to derive formulas for their terms.