Define a relation Rto be asymmetricon a set A iff whenever (a, b)∈Rthen(b, a)∉R. Define it to be irreflexiveiff (a, a)∉R∀a∈A. For each set and relationbelow, determine if the given relation is reflexive, irreflexive, symmetric, antisymmetric, asymmetric, or transitive. a. A={1,2,3,4,...}and(x, y)∈Riff y=xkfor some positive integer k. b.Ais the set of all lines in the plane; 1is related to 2iff ; 1is parallel to 2.c. A={1,2,3,4,5}; Ris the relation given in the digraph below.

Determine the common ratio and find the next three terms of the geometric sequence. 649-14-02-00-00_files/i0100000, 649-14-02-00-00_files/i0100001, 2, a. 3; 649-14-02-00-00_files/i0100002, 649-14-02-00-00_files/i0100003, 649-14-02-00-00_files/i0100004. c. 649-14-02-00-00_files/i0100005; 649-14-02-00-00_files/i0100006, 649-14-02-00-00_files/i0100007, 649-14-02-00-00_files/i0100008. b. 3; 6, 18, 54 d. 649-14-02-00-00_files/i0100009. 6, 18, 54 select the best answer from the choices provided a b c d