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JEE Main & Advanced Mathematics Sequence & Series Question Bank Numerical Value Type Questions - Progressions

  • question_answer
    Let \[{{a}_{n}}\] be the nth term of an A.P. If \[\sum\limits_{r=1}^{100}{{{a}_{2r}}}=\alpha \] and \[\sum\limits_{r=1}^{100}{{{a}_{2r-1}}}=\beta \], and the common difference of A.P. is \[\frac{\alpha -\beta }{\lambda }\] then find \[\lambda \].

    Answer:

    100.00


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