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9. Show that the product of n geometric ...

9. Show that the product of n geometric means between a and b is equal to the nth power of the single GM between a and b.

Text Solution

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`a,a_1,a_2,....,a_n,b`
`9_1=ar`
`9_2=ar^2`
. . . `9_n=ar^n`
`b=ar^(n+1)`
...
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