Chapter 3.6, Problem 41PFA

To determine

To determine the first three terms.

Answer to Problem 41PFA

C

Explanation of Solution

Given:

Function:

  $f(x)=-4.5x+50$

Calculation:

To find three terms, substitute different values of x i.e., from 1 to 3 in given function.

The first three terms of the sequence are:

  $\begin{array}{l}x=1\\ \Rightarrow f(1)=-4.5\times 1+50\\ \Rightarrow f(1)=50-4.5\\ \Rightarrow f(1)=45.5\\ x=2\\ \Rightarrow f(2)=-4.5\times 2+50\\ \Rightarrow f(2)=50-9\\ \Rightarrow f(2)=41\\ x=3\\ \Rightarrow f(3)=-4.5\times 3+50\\ \Rightarrow f(3)=50-13.5\\ \Rightarrow f(3)=36.5\end{array}$

So, the first three terms of the sequence are $45.5,41,36.5$ .

Conclusion:

The correct option is C.