In the triangle ABC, if the angles a, B and C form an arithmetic sequence, then A3 + B3 + C3=

Your question is not right. Is it a cube? If it's a cube, first work out a, B, C as a cube
A = Π / 6, B = Π / 3, C = Π / 2, so a Λ 3 + B Λ 3 + C Λ 3 = (Π / 6) Λ3 + (Π / 3) Λ3 + (Π / 2) Λ3 = (ΠΛ 3) 6

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