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47, 40, 33, 26, 19, 12, and 5
Assume this is an arithmetic sequence (It is formed by continually adding or subtracting the same number.)
Because there are 7 missing numbers, there must have been 8 subtractions (the last one will produce the -2). The difference between the first and last terms is 54-(-2) = 54+2 = 56. Divide this by 8; the amount subtracted each time is 7. The missing numbers are 54-7 = 47, 47-7 = 40, ...
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