Algebra-1

Question Analysis
This question requires the student to use the explicit formula for an arithmetic sequence to find a specific term. Given the 4th and 6th terms, the student must first determine the first term and the common difference , and then use these to find the 10th term.

Key Concept Explanation
The explicit formula for an arithmetic sequence, , allows us to directly calculate any term in the sequence. To find the 10th term, we need to determine the first term and the common difference using the given terms.

Step-by-step Solution
1. Use the explicit formula for the 4th term: .
2. Use the explicit formula for the 6th term: .
3. Subtract the first equation from the second to eliminate :