Which type of mutation can cause such type of changes in a DNA base sequence?

A mutation in a DNA sequence GTA CCT AGG forms a new sequence reading as GTAT CCT AGG before its rearrangement by our body to the triplet codon format reading as GTA TCC TAG.

A frameshift mutation is generally much more serious and will cause a change all the way down a DNA sequence making each codon a different sequence not just in one point or base like a point mutation that would only slightly change the sequence of a single codon. For example consider our DNA sequence is GTA CCT AGG. In a frameshift mutation a whole base would be added somewhere in that sequence making it look something like GTAT CCT AGG. Since it is impossible though to have 4 bases in a codon our body would automatically shift every letter down one even to the next codon in the sequence. In the end the final product would look something like GTA TCC TAG (with the left over G being the first base in the next codon and so on).