A geometric sequence has a first term and a common ratio . Find the 5th term of the sequence. The 5th term is ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the explicit formula for the nth term of a geometric sequence. The given values are the first term and the common ratio r = 4, and the student needs to find the 5th term.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). This formula allows us to directly calculate any term in the sequence without needing to find all preceding terms.
Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into the explicit formula:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.