Question

I’m not sure if I got the right answer and need help showing work :( !! ( need to use parenthesis for multiplying)

Answer 1

You know that the rule for the sequence given in the exercise is:

$f\mleft(x\mright)=3x+1$

According to the information given. For the input value

$x=1$

You get:

$f\mleft(1\mright)=4$

Because:

$\begin{gathered} f\mleft(1\mright)=3(1)+1 \\ f(1)=3+1 \\ f(1)=4 \end{gathered}$

The next input value you must substitute in the equation is:

$x=5$

Then, substituting and evaluating, you get:

$\begin{gathered} f(5)=3(5)+1 \\ f(5)=15+1 \\ f(5)=16 \end{gathered}$

The answer is: Option D.