Final answer:
The diagnosis "Late onset of Alzheimer's dementia with behavioral disturbance" should be coded as F02.81 followed by G30.1 in the medical coding system.
Step-by-step explanation:
The correct coding and sequencing for the diagnosis "Late onset of Alzheimer's dementia with behavioral disturbance" is F02.81, G30.1. Code F02.81 stands for dementia in other diseases classified elsewhere with behavioral disturbances, and this should be followed by G30.1, which is the code for Alzheimer's disease with late onset.
According to the ICD-10-CM guidelines, the code for the manifestation (in this case, the behavioral disturbance) is sequenced first, followed by the code for the etiology (Alzheimer's disease, late onset).