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Find the Value of the Following Expression:I + I2 + I3 + I4 - Mathematics

Find the value of the following expression:

i + i2 + i3 + i4

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Solution

\[ i + i^2 + i^3 + i^4 \]

\[ = i - 1 - i + 1 \left[ \because i^2 = - 1, i^3 = - i \text { and } i^4 = 1 \right]\]

\[ = 0 \]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 13 Complex Numbers
Exercise 13.1 | Q 3.3 | Page 4
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