A frameshift mutation changes downstream grouping into codons through insertion or deletion of a number of nucleotides not divisible by three. In the constructed messenger RNA example, insert C immediately after AUG while retaining the same initiation position: . The first codon is preserved, but the original downstream groups GCU, UUC and UGA disappear. The displayed fragment now has no complete standard stop codon; what happens later depends on its continuation.
The short proof is positional: every downstream nucleotide moves by positions after an insertion of length . Boundaries recur every three positions, so they retain the original phase exactly when is divisible by three. An insertion of three nucleotides can still change the peptide, but it does not shift the downstream reading frame. This distinction helps interpret genetic variants without predicting a particular phenotype from grouping alone.[ref]
Biology 2e by Mary Ann Clark and others. §15.1, The Genetic Code, Figure 15.5: nucleotide deletion and shifted grouping
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