Question

I need to find ALL the equations that equal the picture. pls help

Answer 1

1) Since we have an Arithmetic Sequence, whose common difference is 3 Then we can write the following about its explicit formula

`\begin{gathered} f_n=f_1+3(n-1) \\ \end{gathered}`

2) And examining the other options, we can state the following about its Recursive Formula which depends on the previous term:

`f_{}(1)=8,\text{ f(n) =8}+f(n-1)\text{ for n}\ge2`

3) Hence the answers are the first option and the last one. For Explicit and Recursive formula.