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If a1,a2,a3,...,a(n+1) are in A.P. , the...

If `a_1,a_2,a_3,...,a_(n+1)` are in A.P. , then `1/(a_1a_2)+1/(a_2a_3)....+1/(a_na_(n+1))` is

A

`(n-1)/(a_(1)a_(n+1))`

B

`(1)/(a_(1)a_(n+1))`

C

`(n+1)/(a_(1)a_(n+1))`

D

`(n)/(a_(1)a_(n+1))`

Text Solution

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The correct Answer is:
D
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