Function is missing.
It is;
f(n) = ½⋅f(n − 1) for n ≥ 2
Answer:
Domain for this function is;
n ≥ 1
Step-by-step explanation:
We are told They decide they will have 64 pieces in week 1,
Thus;
f(1) = 64
From the function given;
f(n) = ½⋅f(n − 1)
So;
f(2) = ½•f(2 - 1)
f(2) = ½•f(1)
f(2) = ½ • 64
f(2) = 32
Also;
f(3) = ½•f(3 - 1)
f(3) = ½•f(2)
f(3) = ½ × 32 = 16
Looking at the steps, they follow a general pattern of;
f(n) = 64•½^(n - 1) for n ≥ 1
Thus, the domain for the function for n weeks after the first one is n ≥ 1