Question

What is a sequence?

Short answer

Asequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Step-by-step solution

Step1. Given Information

Consider the term "sequence".

The objective is to explain the sequence.

The sequence is a function from the set of positive integers to the real numbers.

Step2. Explanation

$\text{Consider the following sequence from the set of positive integers to the real numbers.}$

$\text{It is written as}a:Z^{+}\to R\text{, where}{Z}^{+}\text{is the set of real numbers and}R\text{is the set of real}$ numbers.

Step3. Explanation

the Notation of the sequence is as shown below

$\text{The sequence is denoted by}\left\{a_k\right\}\text{where}k\text{is the index and is a positive integer.}$