46 42 14 28 24 8 16 ___:
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This is a three step sequence of operations. (1) -4 : (2) ÷3 : (3) x2 46 - 4 = 42 : 42 ÷ 3 = 14 : 14 x 2 = 28 28 - 4 = 24 : 24 ÷ 3 = 8 : 8 x 2 = 16 The next number is therefore 16 - 4 = 12.
8/14, 12/21, 16/28, 20/35, 24/42, 28/49,...
GCF(14, 28, 42) = 14.
LCM of 14 28 42 is 84.
subtract 4, divide by 3, multiply by 2, and repeat so the next one is 12