Stitching with sequences

A = (7.5822072973818795, 4.397507458587055)
B = (11.28061801382499, 10.353164152202096)
C = (17.861358208810614, 3.164703886439335)
D = (7.825295325692695, 4.015511985527198)
u = Segment(A, B)
n = 23 (slider from 1 to 30, step 1)
AB = Sequence(A + t * (B - A), t, 0, 1, 1 / n)
a = Segment(C, D)
CD = Sequence(C + t * (D - C), t, 0, 1, 1 / n)
StitchingABtoCD = Sequence(Segment[Element[AB, k], Element[CD, k]], k, 1, n + 1)