Prove that 1 + i2 + i4 + i6 = 0

L.H.S.= 1 + i2 + i4 + i6


ToProve: 1 + i2 + i4 + i6 = 0


1 + (-1) +1 +


Since, = 1


(where n is any positive integer )




1 + -1 + 1 + -1=0


⇒L.H.S = R.H.S


Hence proved.


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