Algebra-1

Question Analysis
This question requires students to find the first term and the common ratio 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 7th term by the equation for the 4th term, we can eliminate and solve for .

Step-by-step Solution
1. Write the explicit formulas for the 4th and 7th terms: and