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13. Complex Numbers
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Q3 of 153 Page 13

Find the value of following expression:

i + i2 + i3 + i4

i + i2 + i3 + i4 = i + i2 + i2×i + i4


= i – 1 + (– 1)×i + 1


since i4 = 1, i2 = – 1


= i – 1 – i + 1 = 0


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Questions · 153
13. Complex Numbers
1 2 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 6 7 8 9 10 11 12 13 14 15 16 16 16 16 16 17 18 19 20 21 22 23 24 25 26 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43
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