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JEE Main & Advanced Mathematics Sequence & Series Question Bank Self Evaluation Test - Sequences and Series

  • question_answer
    Consider the sequence \[8A+2B,\text{ }6A+B,\text{ }4A,\,\,2A-B,........\]  Which term of this sequence will have a coefficient of A which is twice the coefficient of B?

    A) 10th

    B) 14th

    C) 16th

    D) None of these

    Correct Answer: D

    Solution :

    [d] \[8+(n-1)(-2)=2(2+(n-1)(-1))\] \[\Rightarrow 10=6\] which is absurd


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