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Maharashtra State BoardHSC Commerce: Marketing and Salesmanship 11th Standard
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Find the value of (i^592+ i^590 + i^588 + i^586 + i^584)/(i^582 + i^580 + i^578 + i^576 + i^574)

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Question

Find the value of `(i^592+ i^590 + i^588 + i^586 + i^584)/(i^582 + i^580 + i^578 + i^576 + i^574)`.

Sum
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Solution

`(i^592+ i^590 + i^588 + i^586 + i^584)/(i^582 + i^580 + i^578 + i^576 + i^574)`

= `(i^10(i^582 + i^580 + i^578 + i^576 + i^574))/(i^582 + i^580 + i^578 + i^576 + i^574)`

= i10

= (i4)2 . i2

= (1)2 (–1)

= –1

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Imaginary Number
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Q 1)
Chapter 3: Complex Numbers - MISCELLANEOUS EXERCISE - 3 [Page 42]

APPEARS IN

Balbharati Mathematics and Statistics (Commerce) Part 1 [English] Standard 11 Maharashtra State Board
Chapter 3 Complex Numbers
MISCELLANEOUS EXERCISE - 3 | Q 1) | Page 42

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