complex numbers

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ibdp hl complex nos

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11.Given that = 2 i, z , find z in the form a + ib.(Total 4 marks)

2.A geometric sequence u1, u2, u3, ... has u1 = 27 and a sum to infinity of .(a)Find the common ratio of the geometric sequence.(2) An arithmetic sequence v1, v2, v3, ... is such that v2 = u2 and v4 = u4.(b)Find the greatest value of N such that .(5)(Total 7 marks)