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Manhattan Prep
In a certain sequence, the term \(A_n\) is given by the formula \(A_n=16-\dfrac{(4-n)^3}{|n-4|}\) for all positive integers \(n \neq 4,\) while \(A_4=16.\) For which integer value of k greater than 2 is the mean of all values in the sequence from \(A_1\) through \(A_k\) equal to the median of those values?
A. 6
B. 7
C. 8
D. 9
E. 10
OA B
In a certain sequence, the term \(A_n\) is given by the formula \(A_n=16-\dfrac{(4-n)^3}{|n-4|}\) for all positive integers \(n \neq 4,\) while \(A_4=16.\) For which integer value of k greater than 2 is the mean of all values in the sequence from \(A_1\) through \(A_k\) equal to the median of those values?
A. 6
B. 7
C. 8
D. 9
E. 10
OA B
