If a1,a2,...an are in A.P. where ai>0 then value of

1/(sq root a1+sq root a2) + 1/(sq root a2+sq root a3) +.......... 1/sq root an-1 + sq root an = ??

I did not knw how to write it in proper form but hope u understand my question

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- Apr 2nd 2009, 08:16 AM #1

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- Apr 2nd 2009, 08:35 AM #2

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- Apr 2nd 2009, 09:06 AM #3

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- Apr 2nd 2009, 10:04 AM #4

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Hello, cnpranav!

If are in A.P. where

then find the value of: .

. . . . .

. . . . .

. . . . . . . . . . . . . . . . . . . . . . . .

. .

Since are in A.P.,

. . all the denominators are the common difference,

We have: .

. . which simplifies to: .

- Apr 2nd 2009, 10:14 AM #5

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- Apr 2nd 2009, 10:32 AM #6

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