131.
The rule is Un = (8n3 - 36n2 + 64n - 27)/3 for n = 1, 2, 3, ...
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107.5
55
The next number is 48.
6,13,27,55, 111, 223 ... Here is why: 6 + (1x7) makes 13 13 + (2x7) makes 27 27 + (4x7) makes 55 55 + (8x7) makes 111 111 + (16x7) makes 223 Or this way explains the answer using powers of 2: (7x20)-1 makes 6 (7x21)-1 makes 13 (7x22)-1 makes 27 (7x23)-1 makes 55 (7x24)-1 makes 111 (7x25)-1 makes 223
55