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Find the value of i + i2 + i3 + i4

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Question

Find the value of i + i2 + i3 + i4 

Sum
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Solution

i + i2 + i3 + i4

= i + i2 + i2.i + i4

= i – 1 – i + 1    ...[∵ i2 = – 1, i4 = 1]

= 0

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Chapter 1: Complex Numbers - Exercise 1.1 [Page 6]

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