Given a graded ring A and a homogeneous ideal I, the ideal is said to be of linear type if the Rees algebra of I is isomorphic to the symmetric algebra of I. We examine the relations between different notions of sequences already known in literature which form ideals of linear type. We observe how the vanishing of y-regularity of Rees algebra of an ideal is connected to the ideal being generated by some specific sequences. As an application of this, we discuss Koszulness and Cohen-Macaulayness of the diagonal subalgebra of Rees algebra of ideals generated by some of these sequences. We also mention Macaulay2 algorithms for checking if an ideal is generated by d-sequence and for computing bigraded Betti numbers.