Does Brutane pentane hexane are members of one homologous series?

No, butane, pentane, and hexane are not members of the same homologous series. They are all alkanes, which form a homologous series characterized by the general formula CₙH₂ₙ₊₂. Each successive member differs by a CH₂ group, making them part of the same series. Therefore, butane (C₄H₁₀), pentane (C₅H₁₂), and hexane (C₆H₁₄) are indeed members of the same homologous series of alkanes.