5
27.
The pattern in the sequence 1000, 100, 10, 1 is that each number is divided by 10. Following this pattern, the next number would be 0.1.
5
456789
After a quatillion, which is (10^{24}), the next term is a quintillion, representing (10^{30}). Following a quintillion is a sextillion, which equals (10^{36}). Each term in this sequence increases by a factor of (10^6).
27.
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10
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10
456789
After a quatillion, which is (10^{24}), the next term is a quintillion, representing (10^{30}). Following a quintillion is a sextillion, which equals (10^{36}). Each term in this sequence increases by a factor of (10^6).
The sequence appears to be increasing in a non-linear fashion. The differences between the terms are 3 (6-3), 4 (10-6), 10 (20-10), and 4 (24-20). Following this pattern, the next difference could be 10 again, leading to the next term being 34 (24 + 10). Thus, the next number in the sequence is 34.
26 As far as I can tell the sequence is +10,-5,+10,-5.
5
The sequence 1, 3, 10, 34 can be generated by the pattern where each term is derived from the previous term using a specific polynomial relationship. To find the next number, we can observe that each number approximately multiplies by increasing factors and adds a constant. The next number in this sequence is 122, following the identified pattern.
The sequence alternates between multiplying by 2 and then adding 2. Starting with 2, it goes to 4 (2×2), then to 8 (4×2), followed by 10 (8+2), and then to 20 (10×2). Following this pattern, the next operation would be adding 2 to 20, resulting in 22. Thus, the next number in the sequence is 22.