In a geometric sequence, the 2nd term is 8 and the 3rd term is 16. Find the first term of the sequence.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the first term of a geometric sequence given two consecutive terms.
Key Concept Explanation
The common ratio can be found by dividing the 3rd term by the 2nd term. Once the common ratio is known, the first term can be calculated using the 2nd term and the common ratio.
Step-by-step Solution
1. Calculate the common ratio:
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