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

`alpha - beta`

`beta - alpha`

`(alpha - beta)/(2)`

None of these

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