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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 3: Complex Numbers - EXERCISE 3.1 [Page 38]

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