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Question
Evaluate the following: i30 + i40 + i50 + i60
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Solution
We know that, i2 = –1, i3 = –i, i4 = 1
= (i4)7 i2 + (i4)10 + (i4)12 i2 + (i4)15
= (1)7 (–1) + (1) + (1)10 + (1)12 (– 1) + (1)15
= – 1 + 1 – 1 + 1
= 0
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