Final answer:
The client is likely experiencing neuropathic pain, which is characterized by throbbing pain or a burning sensation.
Step-by-step explanation:
The client with an amputated arm is likely experiencing neuropathic pain. Neuropathic pain occurs when there is damage to the neurons in the peripheral or central nervous system, leading to exaggerated pain signals being sent to the brain. This type of pain can manifest as throbbing pain or a burning sensation in the amputated arm.