2024 Author: Malcolm Clapton | [email protected]. Last modified: 2023-12-17 03:44
Solve the logic of building chains and add missing numbers in place of the gaps.
– 1 –
312211. Each subsequent number contains information about the digits of the previous one: 1 - one unit, that is, 11, 11 - two ones, that is, 21, 21 - one two, one unit, that is, 1211, 1211 - one unit, one two, two units, that is, 111221, 111221 - three ones, two twos, one unit, that is, 312211 and so on.
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– 2 –
576. Each subsequent number is the difference between itself and its first two digits: 972 - 97 = 875, 875 - 87 = 788, 788 - 78 = 710, 710 - 71 = 639, 639 - 63 = 576.
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– 3 –
177. The sequence is built on the following principle: add 1, then multiply by 1; add 2, multiply by 2; add 3, multiply by 3, and so on. 2 + 1 = 3.3 × 1 = 3; 3 + 2 = 5.5 × 2 = 10; 10 + 3 = 13, 13 × 3 = 39; 39 + 4 = 43, 43 × 4 = 172; 172 + 5 = 177.
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– 4 –
14 and 15. The numbers alternate in pairs "even-odd" with an increase of each subsequent by 4. The even row will be like this: 2, 6, 10, 14. Odd - like this: 3, 7, 11, 15. If you mix them, you get: 2, 3, 6, 7, 10, 11, 14, 15.
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– 5 –
3. Each subsequent number is obtained by adding 2 to the previous one and dividing the result by 2: 18 + 2 = 20, 20 ÷ 2 = 10; 10 + 2 = 12, 12 ÷ 2 = 6; 6 + 2 = 8, 8 ÷ 2 = 4; 4 + 2 = 6, 6 ÷ 2 = 3.
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– 6 –
191. Each subsequent number is obtained by multiplying the previous one by 2 and adding one. 5 × 2 + 1 = 11, 11 × 2 + 1 = 23, 23 × 2 + 1 = 47, 47 × 2 + 1 = 95, 95 × 2 + 1 = 191.
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– 7 –
11. Let's write down a series of numbers: one, two, three, four, five, six, seven. The sequence is built on the following principle: to the number of letters in each word, its numerical value is added. 4 + 1 = 5, 3 + 2 = 5, 3 + 3 = 6, 6 + 4 = 10, 5 + 4 = 9, 5 + 6 = 11, 4 + 7 = 11.
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– 8 –
18. There are two rows of numbers in this sequence: 6, 10, 14 and 8, 11, 14. In the first row, all numbers increase by 4, in the second - by 3. 14 + 4 = 18.
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– 9 –
8. Each subsequent number is obtained by multiplying among themselves the numbers included in the previous one. 7 × 7 = 49, 4 × 9 = 36, 3 × 6 = 18, 1 × 8 = 8.
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– 10 –
13. In each triple, the second number is equal to the sum of the first and third. 7 + 19 = 26, 6 + 16 = 21, 9 + 4 = 13.
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