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Evaluate the following : i30 + i40 + i50 + i60 - Mathematics and Statistics

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Question

Evaluate the following : i30 + i40 + i50 + i60 

Sum

Solution

i30 + i40 + i50 + i60 

= (i2)15 + (i2)20 + (i2)25 + (i2)30

= (– 1)15 + (– 1)20 + (– 1)25 + (– 1)30

= – 1 + 1 – 1 + 1

= 0.

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Chapter 1: Complex Numbers - Exercise 1.1 [Page 6]

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