Final answer:
The Treg, or regulatory T cell, is the type of effector T lymphocyte that can inhibit an immune response, which they achieve by suppressing other T cell responses and preventing autoimmune diseases.
Step-by-step explanation:
The type of effector T lymphocytes capable of inhibiting an immune response to an antigen recognized with its T-cell receptor (TCR) is the Treg, or regulatory T cell. These cells play a critical role in maintaining immune system balance by suppressing other T cell immune responses, which prevents uncontrolled clonal expansion that could lead to autoimmune diseases and other medical issues. Tregs express CD4, CD25, and FOXP3 molecules, and their precise mechanisms of action are still under investigation, signifying an area of continued research within immunology.