IIT JEE BINOMIAL THEOREM Prove that `sum_(r=0)^n^n C_r(-1)^r[i+i^(2r)+i^(3r)+i^(4r)]=2^n+2^(n/2+1...

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Prove that
`sum_(r=0)^n^n C_r(-1)^r[i+i^(2r)+i^(3r)+i^(4r)]=2^n+2^(n/2+1)cos(npi//4),w h e r ei=sqrt(-1)dot`

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