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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Simplify the following: nin∑n=112in - Mathematics

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Question

Simplify the following:

`sum_("n" = 1)^12 "i"^"n"`

Sum

Solution

= i1 + i2 + i3 + i4 + …. + i12

= (i – 1 – i + 1) + (i – 1 – i + 1) + (i – 1 – i + 1)

= 0

shaalaa.com
Introduction to Complex Numbers
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Chapter 2: Complex Numbers - Exercise 2.1 [Page 54]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 2 Complex Numbers
Exercise 2.1 | Q 3 | Page 54
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