The next number in the sequence is 15 - the sequence goes x2, +2, -1
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The simplest sequence appears to be 15 1*2=2 2+2=4 4-1=3 3*2=6 6+2=8 8-1=7 7*2=14 14+2=16 16-1=15 Multiply by 2 Add 2 Subtract 1 Repeat
15
2/3 × 16 = 2/3 × 16/1 = (2×16)/(3×1) = 32/3 = 10⅔
1/7 + 3/14: you must have a common denomiantor! here, that's 14: 1(2)/14 + 3(1) /14 2/14 + 3/14 (2+3)/14 5/14.
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.