English

The sum of the series i + i2 + i3 + ... upto 1000 terms is ______.

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Question

The sum of the series i + i2 + i3 + ... upto 1000 terms is ______.

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Solution

The sum of the series i + i2 + i3 + ... upto 1000 terms is 0.

Explanation:

i + i2 + i3 + ... upto 1000 terms

= i + i2 + i3 + ... + i1000

= 0

`[sum_(n = 1)^1000 i^n = 0]`

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Chapter 5: Complex Numbers and Quadratic Equations - Exercise [Page 93]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Exercise | Q 25.(iv) | Page 93

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