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Let a(n) be the nth term of an AP, if su...

Let `a_(n)` be the nth term of an AP, if `sum_(r=1)^(100)a_(2r)= alpha " and "sum_(r=1)^(100)a_(2r-1)=beta`, then the common difference of the AP is

A

`alpha-beta`

B

`(alpha-beta)/100`

C

`beta-alpha`

D

`(alpha-beta)/200` .

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