Final answer:
The symptoms of a patient with proptosis, high free T4/T3, decreased TSH, and diffuse RAIU uptake include increased appetite and weight loss.
Step-by-step explanation:
Proptosis is a medical condition in which the eyeballs bulge out from their sockets. Having high free T4/T3 levels indicates hyperthyroidism, which is an overactive thyroid gland. Decreased TSH (thyroid-stimulating hormone) levels further confirm hyperthyroidism. Diffuse RAIU (radioactive iodine uptake) uptake refers to the increased uptake of radioactive iodine by the thyroid gland.
Given these symptoms, the correct answer would be 1) Increased appetite and weight loss. This is because hyperthyroidism increases metabolism, leading to increased energy expenditure and weight loss despite increased appetite.