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Popular >

simplify i+i^2+i^3+i^4+i^5

Solution

simplify

i + i^{2} + i^{3} + i^{4} + i^{5}

Solution

i

Solution steps

i + i^{2} + i^{3} + i^{4} + i^{5}

i^{2} = - 1

i^{3} = - i

i^{4} = 1

i^{5} = i

= i - 1 - i + 1 + i

Group like terms

= i - i + i - 1 + 1

Add similar elements:

i - i + i = i

= i - 1 + 1

Add the numbers:

- 1 + 1 = 0

= i

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Frequently Asked Questions (FAQ)

What is i+i^2+i^3+i^4+i^5 ?
The solution to i+i^2+i^3+i^4+i^5 is i