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Let an be the n^(t h) term of an A.P. If...

Let `a_n` be the `n^(t h)` term of an A.P. If `sum_(r=1)^(100)a_(2r)=alpha&sum_(r=1)^(100)a_(2r-1)=beta,` then the common difference of the A.P. is `alpha-beta` (b) `beta-alpha` `(alpha-beta)/2` (d) None of these

A

`alpha - beta`

B

`(1)/(100) (alpha -beta)`

C

`beta -alpha`

D

`(1)/(200) (alpha-beta)`

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The correct Answer is:
B
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