In a geometric sequence, the 4th term is and the common ratio is . Find the 7th term, .
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the 7th term of a geometric sequence given the 4th term and the common ratio. The key is to first determine the first term using the 4th term and then use the explicit formula to find the 7th term.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). To find , we can use the given 4th term and the common ratio.
Step-by-step Solution
1. Given: and .
2. Use the explicit formula to express : .
3. Solve for
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.