A geometric sequence has a first term of 5 and a common ratio of -3. What is the 4th term of the sequence? The 4th term is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to handle geometric sequences with a negative common ratio and find a specific term.
Key Concept Explanation
The explicit formula for the -th term of a geometric sequence is given by (), where is the first term, is the common ratio, and is the term number. When the common ratio is negative, the signs of the terms alternate.
Step-by-step Solution
1. Identify the first term and the common ratio .
2. Use the explicit formula
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