Chapter 21, Problem 1IR

To determine

To find: The first five terms of the given sequence.

Answer to Problem 1IR

The first five terms of the given sequence are $-2,-1,0,1,2$ .

Explanation of Solution

Given information:

The general term is $a_n=n-3$ .

Concept used:

An infinite sequence is a function whose domain is the set of natural numbers $\left\{1,2,3,4,\mathrm{...}\right\}$ .

A finite sequence is a function whose domain is the set of natural numbers $\left\{1,2,3,4,\mathrm{...},n\right\}$ .

Here, $n$ is some natural number.

The first term is,

  $\begin{array}{c}{a}_1=1-3\\ =-2\end{array}$

The Second term is,

  $\begin{array}{c}{a}_2=2-3\\ =-1\end{array}$

The third term is,

  $\begin{array}{c}{a}_3=3-3\\ =0\end{array}$

The fourth term is,

  $\begin{array}{c}{a}_4=4-3\\ =1\end{array}$

The fifth term is,

  $\begin{array}{c}{a}_5=5-3\\ =2\end{array}$

Therefore, the first five terms of the given sequence are $-2,-1,0,1,2$ .