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Question
Find the value of i49 + i68 + i89 + i110
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Solution
i49 + i68 + i89 + i110
= i48 × i + i68 + i88 × i + i110
= (i2)24i + (i2)34 + (i2)44i + (i2)55
= (– 1)24i + (– 1)34 + (– 1)44i + (– 1)55
= i + 1 + i – 1
= 2i.
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