An arithmetic sequence has the first term and the fourth term . Write the recursive formula for this sequence. The recursive formula is ; for .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine the common difference of an arithmetic sequence given the first and fourth terms. The student needs to use the relationship between the terms to find the common difference.
Key Concept Explanation
The recursive formula for an arithmetic sequence involves the first term and the common difference. The common difference can be found using the relationship .
Step-by-step Solution
1. Identify the first term:
2. Identify the fourth term:
3. Use the relationship to find :
4. Solve for :
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.