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13. Complex Numbers
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Q3 of 153 Page 13

Find the value of following expression:

i5 + i10 + i15

i5 + i10 + i15 = i(4 + 1) + i(8 + 2) + i(12 + 3)


= (i4)1×i + (i4)2×i2 + (i4)3×i3


= (i4)1×i + (i4)2×i2 + (i4)3×i2×i


= 1×i + 1×(– 1) + 1×(– 1)×i


= i – 1 – i = – 1


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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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