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According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid. The simplest solution, based on the linear equation, T(n) = -101*n + 10101 gives the next three terms as 9596, 9495 and 9394.

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Q: What is the three next numbers 10000 9899 9798 9697?

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They are 1, 2 and 10000989997989694, added together.

The pattern that the numbers follow is x - 101, x being the previous number.

10000

The equation 7 x + 14 y + 10 z = 98001 has infinite solutions. For any x and y we can have a z which satisfies this equation. For example, if we choose x=1 and y=1 then z=9798 satisfies. To have a specific solution there must be three equations for three unknowns (x,y,z), which can be solved simultaneously.

1: 12: 1, 23: 1, 34: 1, 2, 45: 1, 56: 1, 2, 3, 67: 1, 78: 1, 2, 4, 89: 1, 3, 910: 1, 2, 5, 1011: 1, 1112: 1, 2, 3, 4, 6, 1213: 1, 1314: 1, 2, 7, 1415: 1, 3, 5, 1516: 1, 2, 4, 8, 1617: 1, 1718: 1, 2, 3, 6, 9, 1819: 1, 1920: 1, 2, 4, 5, 10, 2021: 1, 3, 7, 2122: 1, 2, 11, 2223: 1, 2324: 1, 2, 3, 4, 6, 8, 12, 2425: 1, 5, 2526: 1, 2, 13, 2627: 1, 3, 9, 2728: 1, 2, 4, 7, 14, 2829: 1, 2930: 1, 2, 3, 5, 6, 10, 15, 3031: 1, 3132: 1, 2, 4, 8, 16, 3233: 1, 3, 11, 3334: 1, 2, 17, 3435: 1, 5, 7, 3536: 1, 2, 3, 4, 6, 9, 12, 18, 3637: 1, 3738: 1, 2, 19, 3839: 1, 3, 13, 3940: 1, 2, 4, 5, 8, 10, 20, 4041: 1, 4142: 1, 2, 3, 6, 7, 14, 21, 4243: 1, 4344: 1, 2, 4, 11, 22, 4445: 1, 3, 5, 9, 15, 4546: 1, 2, 23, 4647: 1, 4748: 1, 2, 3, 4, 6, 8, 12, 16, 24, 4849: 1, 7, 4950: 1, 2, 5, 10, 25, 5051: 1, 3, 17, 5152: 1, 2, 4, 13, 26, 5253: 1, 5354: 1, 2, 3, 6, 9, 18, 27, 5455: 1, 5, 11, 5556: 1, 2, 4, 7, 8, 14, 28, 5657: 1, 3, 19, 5758: 1, 2, 29, 5859: 1, 5960: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 6061: 1, 6162: 1, 2, 31, 6263: 1, 3, 7, 9, 21, 6364: 1, 2, 4, 8, 16, 32, 6465: 1, 5, 13, 6566: 1, 2, 3, 6, 11, 22, 33, 6667: 1, 6768: 1, 2, 4, 17, 34, 6869: 1, 3, 23, 6970: 1, 2, 5, 7, 10, 14, 35, 7071: 1, 7172: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 7273: 1, 7374: 1, 2, 37, 7475: 1, 3, 5, 15, 25, 7576: 1, 2, 4, 19, 38, 7677: 1, 7, 11, 7778: 1, 2, 3, 6, 13, 26, 39, 7879: 1, 7980: 1, 2, 4, 5, 8, 10, 16, 20, 40, 8081: 1, 3, 9, 27, 8182: 1, 2, 41, 8283: 1, 8384: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 8485: 1, 5, 17, 8586: 1, 2, 43, 8687: 1, 3, 29, 8788: 1, 2, 4, 8, 11, 22, 44, 8889: 1, 8990: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 9091: 1, 7, 13, 9192: 1, 2, 4, 23, 46, 9293: 1, 3, 31, 9394: 1, 2, 47, 9495: 1, 5, 19, 9596: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 9697: 1, 9798: 1, 2, 7, 14, 49, 9899: 1, 3, 9, 11, 33, 99100: 1, 2, 4, 5, 10, 20, 25, 50, 100

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They are 1, 2 and 10000989997989694, added together.

The pattern that the numbers follow is x - 101, x being the previous number.

10000

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The phone number of the Patmos Library is: 616-896-9798.

Answer below is incorrect. It is handled by Wells Fargo. It's handled by Winn Dixie at 888-245-9798

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The equation 7 x + 14 y + 10 z = 98001 has infinite solutions. For any x and y we can have a z which satisfies this equation. For example, if we choose x=1 and y=1 then z=9798 satisfies. To have a specific solution there must be three equations for three unknowns (x,y,z), which can be solved simultaneously.

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