Consider the geometric sequence . Find the explicit formula for the -th term of this sequence. The explicit formula is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify and use the common ratio in a geometric sequence to find the explicit formula.
Key Concept Explanation
In a geometric sequence, each term after the first is found by multiplying the previous term by a constant called the common ratio (). The explicit formula for the -th term is given by (), where is the first term and is the common ratio.
Step-by-step Solution
1. Identify the first term :
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