Question
Download Solution PDFFind the geometric mean of the numbers 7, 72, 73, _________ 7n.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
7, 72, 73, _________ 7n
Concept used:
Gm of two no a & b = √ab
Calculation:
GM = n√(a1.an)
⇒ GM of n√(7, 72 , .....7n)
⇒ n√7n(n + 1)/2
⇒ (7n(n + 1)/2)1/n
⇒ \(7^\frac{n +1}{2}\)
∴ Required answer is \(7^\frac{n +1}{2}\)
Last updated on Jul 18, 2025
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