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

  • question_answer
    Which term of the sequence \[(-8+18i),\,(-6+15i),\] \[(-4+12i)\]\[,......\]is purely imaginary

    A) 5th

    B) 7th

    C) 8th

    D) 6th

    Correct Answer: A

    Solution :

    Given sequence is \[\frac{p+q-r-p}{(r+p)(p+q)}=\frac{r+p-q-r}{(q+r)(r+p)}\] Hence \[{{5}^{th}}\] term is purely imaginary.


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