Final answer:
The correct sequence for a direct-sequencing experiment is to lyse cells, purify DNA, amplify genes by PCR, and then insert the amplified DNA into a plasmid.
Step-by-step explanation:
The correct progression of steps for a direct-sequencing experiment is to first lyse cells to break them open and access the DNA. Next, you purify DNA to isolate it from other cellular components. After purifying DNA, you amplify genes by PCR (Polymerase Chain Reaction) to make numerous copies of the target DNA sequences. Once you have enough copies of your gene of interest, you may then insert genes into a plasmid, which is a form of a cloning vector used to propagate the DNA sequence in bacteria.
Therefore, the correct progression would be: Lyse cells, purify DNA, amplify genes by PCR, and insert genes into a plasmid, which aligns with option A in your question. Each of these steps is essential in the molecular cloning process and subsequent analysis.