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Question
Find the value of i49 + i68 + i89 + i110
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Solution
i49 + i68 + i89 + i110
= (i4)12 .i + (i4)17 + (i4)22 .i + (i4)27 .i2
= (1)12 .i + (1)17 + (1)22 .i + (1)27 (– 1) ...[∵ i4 = 1, i2 = – 1]
= i + 1 + i – 1
= 2i
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