Chapter 9.1, Problem 104E

(a)

To determine

Fill the given expression for the apparent nth term of the sequence.

Answer to Problem 104E

  $a_n=1\cdot n$

Explanation of Solution

Given:

  $a_n=1\cdot ----$

The given terms are in linear model

Let $a_n=1\cdot n$

It gives the terms $1,2,3,4,5,\dots ,10$ for $n=1,2,\dots ,10$ respectively

(b)

To determine

Fill the given expression for the apparent nth term of the sequence.

Answer to Problem 104E

  $a_n=n$

Explanation of Solution

Given:

  $a_n=\frac{--!}{(n-1)!}$

Let $a_n=\frac{n!}{(n-1)!}$ .

Then again $a_n=n$

It gives the terms $1,2,3,4,5,\dots ,10$ for $n=1,2,\dots ,10$ respectively

(c)

To determine

Fill the given expression for the apparent nth term of the sequence.

Answer to Problem 104E

The answer is expression (a)

Explanation of Solution

Given:

  $a_n={\displaystyle \sum }_{k=1}^n---$

Let $a_n={\displaystyle \sum }_{k=1}^{n}1$ .

It gives the terms $1,2,3,4,5,\dots ,10$ for $n=1,2,\dots ,10$ respectively

The expression $a_n=1\cdot n$ is appropriate expression to represent the cost $a_n$ to buy nMP3 songs at a cost of $1 per song

Hence answer is expression (a)