A geometric sequence has its 3rd term as 20 and its 5th term as 80. Determine the first term of the sequence. The first term is ____.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to find the first term of a geometric sequence given two non-adjacent terms.
Key Concept Explanation
To find the first term of a geometric sequence, students need to use the explicit formula and solve for after finding the common ratio .
Step-by-step Solution
1. Given: and .
2. Use the explicit formula: ().
3. Set up the equations: and
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