The study of the splicing system rapidly grows after Tom Head introduced his research in 1987. The process of cutting and pasting DNA molecules is called a splicing system. In splicing system models, there are three essential parts, which are the alphabets, initial strings, and the rules. The alphabets represent the nucleotides or the DNA, known as Adenine, Thymine, Guanine, and Cytosine, later abbreviated as a, g, t, c following Watson-Cricks complementary. On the other hand, the set of rules represents the restriction enzyme used for the splicing process. Lastly, the highlighted part in this study is the initial strings of the double-stranded DNA. The purpose of this study is to examine the pattern of the splicing language when the number of initial string used in the splicing system is increased and also to investigate the relation of the initial string's numbers with the n-th order limit language. Some theorems and proofs are approached in determining the pattern of the splicing language produced