Math, asked by Shivam901, 1 year ago

plzz..do it tomorrow is my exam

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Answered by TPS
2
i^2016 = 1

i^2017 = i^2016 × i = 1 × i = i

i^2018 = i^2016 × i^2 = 1 × -1= -1

i^2019 = i^2018 × i = -1 × i = -i

adding them, 1 + i + (-1) + (-i) = 0

answer is 0

Pritesh1062: how(-1) came in the solution
TPS: i^2018 = -1
Shivam901: yeah.. i^(504)^4 × i^2 and after that i^4 equal to 1 nd i^2 equal to -1
TPS: yes
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