Find the missing number in the series? 3, 11, 27, ?, 123
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Find the missing number in the series? 3, 11, 27, ?, 123
35
54
59
68
84
The pattern is: 3*2+5=11, 11*2+5=27, 27*2+5=59, 59*2+5=123.
The differences between the terms are powers of 2 multiplied by an increasing integer. The first difference is 11 - 3 = 8, which is 4 * 2^1, and the second difference is 27 - 11 = 16, which is 4 * 2^2. The next difference must be 4 * 2^3 = 32, making the missing term 27 + 32 = 59. This is confirmed because the difference to the next term is 123 - 59 = 64, which is 4 * 2^4.