Question

If
`f(n) = (n - 1)^(2) + 3n`which statement is true?

Answer 1

To find the statement that is true you need to find each f(n).

`f(n)=(n-1)^2+3n`

1) f(3)

`\begin{gathered} f(3)=(3-1)^2+3(3) \\ f(3)=2^2+9 \\ f(3)=13 \end{gathered}`

2) and 3) f(-2)

`\begin{gathered} f(-2)=(-2-1)^2+3(-2) \\ f(-2)=-3^2-6 \\ f(-2)=3 \end{gathered}`

4) f(-15)

`\begin{gathered} f(-15)=(-15-1)^2+3(-15) \\ f(-15)=-16^2-45 \\ f(-15)=211 \end{gathered}`

Then, the statemet that is true is 2) f(-2)=3