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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
Let ana_n be the nnth term of an AP. If ∑r=1100a2r=α and ∑r=1100a2r−1=β,\sum\limits_{r = 1}^{100} {{a_{2r}}} = \alpha {\text{ and }}\sum\limits_{r = 1}^{100} {{a_{2r - 1}}} = \beta , the common difference of the AP is
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Correct option: D
None of these
Option D (None of these) is correct. The common difference of the AP is calculated as α−β100\frac{{\alpha - \beta}}{{100}}, which is not among the given options.

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