Algebra-1

Question Analysis
This question requires the student to use the explicit formula to find the common difference of an arithmetic sequence when two other terms are given. The problem provides the 5th and 13th terms and asks for the common difference.

Key Concept Explanation
The explicit formula for the -th term of an arithmetic sequence is . By setting up equations for the given terms, we can solve for the unknowns.

Step-by-step Solution
1. Set up the equations for the 5th and 13th terms: and

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