Mathematics

Mathematics

Problem

If z1,z2,z3,…,znz_1, z_2, z_3, \dots, z_n are nn th roots of unity, then for k=1,2,3,…,nk = 1, 2, 3, \dots, n a. ∣zk∣=k∣zk+1∣|z_k| = k |z_{k+1}| b. ∣zk+1∣=k∣zk∣|z_{k+1}| = k |z_k| c. ∣zk+1∣=∣zk∣+∣zk−1∣|z_{k+1}| = |z_k| + |z_{k-1}| d. ∣zk∣=∣zk+1∣|z_k| = |z_{k+1}|

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