Given an arithmetic sequence where the 2nd term and the common difference , find the first term . The first term is ________.
Answer & Analysis
Analysis
Question Analysis
This question requires the student to find the first term of an arithmetic sequence given the second term and the common difference. The student needs to use the recursive relationship to backtrack to the first term.
Key Concept Explanation
The recursive formula for an arithmetic sequence allows us to find any term if we know the previous term and the common difference. In this case, we use it to find the first term from the second term.
Step-by-step Solution
1. Identify the 2nd term and the common difference .
2. Use the recursive formula .
3. Substitute the known values:
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