If the terms of a harmonic progression are 3, 6, and x, what is the value of x?
Practice Questions
1 question
Q1
If the terms of a harmonic progression are 3, 6, and x, what is the value of x?
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12
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The reciprocals of the terms are 1/3, 1/6, and 1/x. Since they form an arithmetic progression, we can set up the equation: 1/6 - 1/3 = 1/x - 1/6, solving gives x = 12.
Questions & Step-by-step Solutions
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Q
Q: If the terms of a harmonic progression are 3, 6, and x, what is the value of x?
Solution: The reciprocals of the terms are 1/3, 1/6, and 1/x. Since they form an arithmetic progression, we can set up the equation: 1/6 - 1/3 = 1/x - 1/6, solving gives x = 12.