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

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प्रश्न

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

रिक्त स्थान भरें

उत्तर

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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अध्याय 5: Complex Numbers and Quadratic Equations - Exercise [पृष्ठ ९३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Exercise | Q 25.(iv) | पृष्ठ ९३

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