Question
Which recursive formula can be used to define this sequence for n>1? 11, 12, 13, 14, 15, 16, ...
Answers
GPT-4o mini
The sequence you've provided is an arithmetic sequence where each term increases by 1. To define it recursively for \( n > 1 \), we can use the following recursive formula:
1. **Base case:** \( a_1 = 11 \)
2. **Recursive case:** \( a_n = a_{n-1} + 1 \) for \( n > 1 \)
This means that each term \( a_n \) is defined based on the previous term \( a_{n-1} \) plus 1.
1. **Base case:** \( a_1 = 11 \)
2. **Recursive case:** \( a_n = a_{n-1} + 1 \) for \( n > 1 \)
This means that each term \( a_n \) is defined based on the previous term \( a_{n-1} \) plus 1.