Answer:
B. 600,000 (1.15)^{n-1}
Step-by-step explanation:
The <em>n-th</em> term of a geometric sequence with initial value a and common ratio r can be determined by multiplying the first term of the sequence (i.e. initial value a) by r^{n-1}.
The first term (i.e. initial value a) is 600,000.
The common ratio r can be calculated by dividing any two consecutive terms in the sequence:
r = 690,000/600,000 = 1.15 <em>or</em> r = 793,500/690,000 = 1.15
Thus, we get the answer:
the explicit rule that can be used to determine the value of the art collection n years after that is 600,000 (1.15)^{n-1}
