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Question
Select the correct answer from the given alternatives:
The value of is `("i"^592 + "i"^590 + "i"^588 + "i"^586 + "i"^584)/("i"^582 + "i"^580 + "i"^578 + "i"^576 + "i"^574)` is equal to:
Options
−2
1
0
−1
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Solution
−1
Explanation:
`= ("i"^592 + "i"^590 + "i"^588 + "i"^586 + "i"^584)/("i"^582 + "i"^580 + "i"^578 + "i"^576 + "i"^574)`
`= (i^4 + i^2 + i^4 + i^2 + i^4)/(i^2 + i^4 + i^2 + i^4 + i^2) `
`= (3 - 2)/ (- 3 + 2)`
`= 1/-1`
= -1
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