JEE Main & Advanced Mathematics Sequence & Series Question Bank Arithmetic Progression

  • question_answer
    If . terms of the series \[63+65+67+69+.........\] and \[3+10+17+24+......\] be equal, then [Kerala (Engg.) 2002]

    A) 11

    B) 12

    C) 13

    D) 15

    Correct Answer: C

    Solution :

    Given series \[63+65+67+69+......\] ?..(i) and \[3+10+17+24+......\] ?.. (ii) Now from (i), \[{{m}^{th}}\] term \[=(2m+61)\] and \[{{m}^{th}}\] term of (ii) series \[=(7m-4)\] Under condition, \[\Rightarrow 7m-4=2m+61\Rightarrow 5m=65\Rightarrow m=13\].


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