Question

Consider the sequence: 8, 11, 14, 17, 20, 23, 26, ... Write a recursive definition.

Answer 1

The first term is 8, so $a_{1} = 8$

Each time we want a new term, we add on 3

8+3 = 11

11+3 = 14

14+3 = 17

17+3 = 20

23+3 = 26

and so on

This recursive step of adding on 3 to the prior term is written as this: $a_{n} = 3 + a_{n-1}$ which says "to get the nth term, add 3 to the term just before the nth term"

Based on what you posted for your answer choices, the final answer is likely choice C. However it seems some weird typo happened.