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1 + i2 + i4 + i6 + ... + i2n is ______.

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Question

1 + i2 + i4 + i6 + ... + i2n is ______.

Options

  • Positive

  • Negative

  • 0

  • Can not be evaluated

MCQ
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Solution

1 + i2 + i4 + i6 + ... + i2n is can not be evaluated.

Explanation:

1 + i2 + i4 + i6 + ... + i2n = 1 – 1 + 1 – 1 + ... (–1)n

Which can not be evaluated unless n is known.

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Chapter 5: Complex Numbers and Quadratic Equations - Solved Examples [Page 89]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 28 | Page 89

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