The explicit rule for the series 0, 1, 2, 3, ... isgiven by an = n - 1. Shyla's attempt to find the fifthterm in the sequence is shown below:a5 = 5-1 = 4Looking at the sequence, the 4th numberwould be 3.Identify Shyla's mistake and find the correctanswer.

Answer:Shyla's have not done any mistake.Step-by-step explanation:We have given that, The explicit rule for the series 0, 1, 2, 3, ... is given by [tex]a_n = n - 1[/tex].Shyla's attempt to find the fifth  term in the sequence is shown below:i.e. substitute n=5[tex]a_5 = 5 - 1=4[/tex]Looking at the sequence, the 4th number  would be 3.According to explicit rule the fourth term is [tex]a_4 =4-1=3[/tex]Which is correct.Similarly all the terms will get in this way.So, Shyla's have not done any mistake.