Algebra-1

Question Analysis
This question requires students to find the first term of a geometric sequence given two non-adjacent terms. The problem involves setting up and solving a system of equations using the explicit formula for geometric sequences.

Key Concept Explanation
The key concepts include the use of the explicit formula () and the relationship between the terms in a geometric sequence. By dividing the equation for the 5th term by the equation for the 3rd term, we can eliminate and solve for .

Step-by-step Solution
1. Write the explicit formulas for the 3rd and 5th terms: and .
2. Divide the equation for the 5th term by the equation for the 3rd term:

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