Question
Prove that the product of geometric mean between any two numbers is power of their .
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Text solutionVerified
Let a and b be the 2 numbers and G be the geometric mean between them.
Therefore a,b,G must be in G.P.
Common ratio
...(1)
Therefore,
form G.P.
This series has a as its first term and b as last and (n+2)th term
...(2)
Product
From (2) we get
From (1) we get
Product
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Question Text | Prove that the product of geometric mean between any two numbers is power of their . |
Answer Type | Text solution:1 |
Upvotes | 150 |