QUESTION 1 \( \begin{array}{l}\text { A: } 30,40,50,60,70, \ldots \\ \text { PART A } \\ \text { Use the first } 5 \text { terms of each sequence to state if the sequence is arithmetic, } \\ \text { geometric, or neither. } \\ \text { A Arithmetic } \\ \text { B Geometric } \\ \text { C Neither } \\ \text { PART B } \\ \text { Next, define the sequence recursively using function notation. } \\ \\ \end{array} \)

The sequence provided, 30, 40, 50, 60, 70, shows a consistent addition of 10 between each term, indicating that it is an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms (known as the common difference) remains constant. In this case, each term increases by 10. To define this recursively using function notation, we could write: \( a(n) = a(n-1) + 10 \) for \( n > 1 \), with \( a(1) = 30 \). This tells us that any term \( a(n) \) is calculated by adding 10 to the previous term \( a(n-1) \), starting with the first term \( a(1) = 30 \).