Chapter 12.1, Problem 1E

A sequence is a function whose domain is __________.

To determine

To fill: The domain of a function of a sequence.

Answer to Problem 1E

A sequence is a function whose domain is all natural numbers.

Explanation of Solution

A sequence is an ordered list whose input value is natural number like $1$ , $2$ , $3$ etc and the output value is also a natural number.

A sequence is a function a whose domain is the set of natural numbers. The terms of the sequence are the function values,

$a_1$ , $a_2$ , $a_3$………. $a_n$……….

For example, the function notation of a sequence is,

$a\left(n\right)=2n$

So, $a\left(1\right)=2$, $a\left(2\right)=4$, $a\left(3\right)=6$ and so on……….

Thus, the natural number is the domain of sequence function.