1.

The value of i3 + i4 + i5, where \({\rm{i}} = \sqrt { - 1} \), is1. 12. 03. i4. -1

Answer» Correct Answer - Option 1 : 1

Concept:

Power of i:

  • i = \(\sqrt{-1}\)
  • i2 = -1
  • i3 = -i × i2 = -i
  • i4 = (i2)2 = (-1)2 = 1
  • i4n = 1

 

Calculation:

To Find: Value of i3 + i4 + i5

As we know, i2 = -1

So, i3 = -i × i2 = -i

i4 = (i2)2 = (-1)2 = 1

i5 = i4 × i = 1 × i = i

Now,

i3 + i4 + i 5 = -i + 1 + i = 1


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