Chapter 8, Problem 5MCQ

To determine

To calculate: To describe the sequence using words and symbols

Answer to Problem 5MCQ

Sequence is described by equation is $t=n+3$

Explanation of Solution

Given information: Sequence is $4,5,6,7,\mathrm{...}$

Formula Used:

Term: In a sequence, each number is referred to as a term

Term Number: In a sequence, the position of the given term is referred to as term number.

Calculation:

Sequence is given as follow:

  $4,5,6,7,\mathrm{...}$

Here, $4$ is the term and its term number is $1$

Also, the common difference is

  $5-4=1$

Let term is denoted by $t$ and term number is denoted as $n$

Thus, the given sequence can be described in symbols as follows:

  $t=n+3$

In words, term is three more than the term number.

Conclusion:

Hence, sequence is represent in symbols as $t=n+3$