JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Integral power of iota, Algebraic operations and Equality of complex numbers

  • question_answer \[{{i}^{2}}+{{i}^{4}}+{{i}^{6}}+......\]upto \[(2n+1)\] terms = [EAMCET 1980; Kerala (Engg.) 2005]

    A) \[i\]

    B) \[-i\]

    C) 1

    D) \[-1\]

    Correct Answer: D

    Solution :

    Given expression is\[-1+1-1+1+.....\]upto \[(2n+1)\] terms Obviously number of terms is odd, so expression has the value -1.

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