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Find the value of i + i2 + i3 + i4 - Mathematics and Statistics

Sum

Find the value of i + i2 + i3 + i4 

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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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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 3 Complex Numbers
Exercise 3.1 | Q 6. (ii) | Page 38
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