Answer to Question #218458 in Linear Algebra for Nol

Question #218458

Let z=z1/z2 where z1=tantheta +i and z2=z1. Find an expression for zn with n E N

Expert's answer

"Z_0=0\\\\\nZ_1=i+1\\\\\nZ_2=i+1\\\\\nZ_3=\\bar{Z_2}+(-1)^2+1=3i+3\\\\\nZ_4=\\bar{Z_3}+(-1)^3=4-4i\\\\\nSo, Z_n = (-1)^{n+1}*ni+n"

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