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13. Complex Numbers
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Q33 of 153 Page 14

Mark the Correct alternative in the following:

The value of (i5 + i6 + i7 + i8 + i9)/(1 + i) is


We know that

i4n+1 = i


i4n+2 = i2 = -1


i4n+3 = i3 = -i


i4n+4 = i4 = 1


i5 + i6 + i7 + i8 + i9 = i + (-1) + (-i) + 1 + i


= i




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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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