Final answer:
The mutation that does not change the reading frame of a gene sequence is one addition and one deletion mutation, as they cancel each other out and do not result in a frameshift mutation.
Step-by-step explanation:
The mutations that would not change the remainder of the reading frame of a gene sequence that follows the mutations are those that do not result in a frameshift mutation. A frameshift mutation occurs when there is an insertion or deletion of one or more nucleotides that changes the reading frame of the base sequence.
In this case:
- One addition mutation would cause a frameshift unless it is part of a set of three nucleotides (a codon).
- One addition and one deletion mutation would not cause a frameshift mutation because the net effect is zero, thus maintaining the original reading frame.
- One deletion mutation would cause a frameshift, altering the reading frame.
- One addition and two deletion mutations together would also cause a frameshift mutation unless the total number of nucleotides added and deleted results in a multiple of three, thus preserving the reading frame.
Therefore, the correct answer is one addition and one deletion mutation, as they cancel each other out, leaving the reading frame unchanged.