Q. 4 - Calculus

Question

Describe the meanings of each of the following mathematical expressions or how they are commonly used in this chapter: 

$x_k$

Step-by-Step Solution

Answer

$$\begin{gathered} \text{Generally it is used to represent the collection of objects. For example set of prime } \\ \text{numbers, or real numbers or natural numbers etc. } \end{gathered}$$

Step 1. Given Information

$\text{ The above expression represents the sequence of the numbers with a particular order. }$

Step 2. Definition/Explanation

$$\begin{gathered} \begin{array}{l}{x}_k=x_1,x_2,\dots \dots ..x_n.\\ k=1,2,\dots \dots n.\end{array} \\ {x}_1\to \text{ is the first element of the sequence. } \\ {x}_2\to \text{ is the second element of the sequence. } \\ . \\ . \\ . \\ {x}_n\to \text{ is the }{n}^{th}\text{ element of the sequence. } \\ \text{ Generally it is used to represent the collection of objects. For example set of prime } \\ \text{ numbers, or real numbers or natural numbers etc. } \end{gathered}$$