Question

prove that 1+i^10+i^20+i^30 is a real number

Answer 1

Answer:

i¹⁰=-1

i²⁰=1

i³⁰=-1

1+(-1)+1+(-1)=0

0 is a real number,

So, we can say that the value of 1+i¹⁰+i²⁰+i³⁰ is a real number

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Step-by-step explanation: