A geometric sequence has the first term as 5 and the second term as -10. The common ratio of this sequence is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine the common ratio in a geometric sequence when given the first two terms. The sequence starts with 5 and the second term is -10.
Key Concept Explanation
In a geometric sequence, the common ratio () is the factor by which each term is multiplied to get the next term. It can be calculated by dividing any term by its preceding term.
Step-by-step Solution
1. Identify the given terms: First term , Second term
2. Calculate the common ratio
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