Final answer:
To evaluate the function h(n) = 3 * ((7)/(8))^n at n = 3, substitute n into the function and simplify the expression.
Step-by-step explanation:
To evaluate the function h(n) = 3 * ((7)/(8))^n at n = 3, we substitute the value of n into the function.
So, h(3) = 3 * ((7)/(8))^3.
Now, we can calculate ((7)/(8))^3 first, which is equal to (7/8) * (7/8) * (7/8) = 343/512. Multiplying this result by 3, we get h(3) = 3 * 343/512 = 1029/512.