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34, 41
-17, -21 Pattern is subtract 4.
The pattern appears to involve multiplying each term by a constant factor to get the next term. Specifically, each term is multiplied by 3 to get the next: (0.2 \times 3 = 0.6), (0.6 \times 3 = 1.8), and (1.8 \times 3 = 5.4). Continuing this pattern, the next two terms would be (5.4 \times 3 = 16.2) and (16.2 \times 3 = 48.6). Thus, the next two numbers in the sequence are 16.2 and 48.6.
44, 55
It looks like the Fibonacci sequence grouped in two terms and up. The next should be 8132134.