In an arithmetic sequence, the 5th term is 20 and the 10th term is 45. Using the explicit formula , find the first term.
Answer & Analysis
Analysis
Question Analysis
This question requires students to use the explicit formula for an arithmetic sequence to solve for the first term, given two terms in the sequence.
Key Concept Explanation
The explicit formula for an arithmetic sequence is . Given two terms, we can set up a system of equations to solve for and .
Step-by-step Solution
1. Set up the equations for the 5th and 10th terms: and
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