A geometric sequence has the first term and the common ratio . Find the 7th term of the sequence. The 7th term is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the explicit formula for a geometric sequence with a negative common ratio.
Key Concept Explanation
The explicit formula for the -th term of a geometric sequence is given by (), where is the first term and is the common ratio. When is negative, the terms alternate in sign.
Step-by-step Solution
1. Identify the first term .
2. Identify the common ratio .
3. Substitute
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