A geometric sequence starts with 5 and has a common ratio of 2. What is the 6th term, , of this sequence? _________.
Answer & Analysis
Analysis
Question Analysis
The question evaluates the student's ability to apply the explicit formula for a geometric sequence to find a specific term.
Key Concept Explanation
The explicit formula for the -th term of a geometric sequence is (), where is the first term, is the common ratio, and is the term number.
Step-by-step Solution
1. Identify the first term and the common ratio .
2. Substitute these values into the explicit formula:
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