A geometric sequence has the first term as 5 and the second term as 15. The third term of this sequence is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the next term in a geometric sequence given the first two terms. The first term is 5, and the second term is 15.
Key Concept Explanation
In a geometric sequence, each term after the first is found by multiplying the previous term by a constant called the common ratio (). The common ratio can be calculated by dividing the second term by the first term.
Step-by-step Solution
1. Identify the first two terms: and
2. Calculate the common ratio :
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