Question

Which are the first 4 terms of the sequencedefined by the function with f(1) = 5 andf(n) =f(n-1) + 4 for each whole numbern greater than 1.

Answer 1

5,9,13,17

Step-by-step explanation

Step 1

Let

`\begin{gathered} f(1)=5 \\ f(n)=f(n-1)+4 \end{gathered}`

Step 2

replace,

when n= 2

`\begin{gathered} f(2))=f(2-1)+4=f(1)+4 \\ f(1)+4=5+4=9\text{ then} \\ f(2)=9 \end{gathered}`

when n=3

`\begin{gathered} f(3)=f(3-1)+4=f(2)+4= \\ f(2)+4=9+4=13,\text{then} \\ f(3)=13 \end{gathered}`

when n= 4

`\begin{gathered} f(4)=f(4-1)+4=f(3)+4 \\ f(3)+4=13+4=17 \\ f(4)=17 \end{gathered}`

I hope this helps you