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A table of numbers has n rows and n columns, where n is an odd integer greater than 4. Each entry in the table is subject to the following rules:
(I) Any entry is the negative of the entry directly above it, if there is an entry directly above it.
(II) Any entry is double the entry directly to its left, if there is an entry directly to its left.
If the entry in the upper left corner (first row and first column) is 1, what is the sum of all the entries in the table?
A. 0
B. n^2 - 1
C. n^2 + 1
D. 2^n - 1
E. 2^n + 1
The OA is D
Source: Manhattan Prep
(I) Any entry is the negative of the entry directly above it, if there is an entry directly above it.
(II) Any entry is double the entry directly to its left, if there is an entry directly to its left.
If the entry in the upper left corner (first row and first column) is 1, what is the sum of all the entries in the table?
A. 0
B. n^2 - 1
C. n^2 + 1
D. 2^n - 1
E. 2^n + 1
The OA is D
Source: Manhattan Prep
