Subjects quantitative reasoning

Missing Sequence Values

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Missing Sequence Values


1. The problem is to find the missing values in sequences given in lines 20 to 27 by using patterns or arithmetic operations from previous lines. 2. Observing the previous sequences (14 to 19), each line has four numbers followed by an equals sign and a single number. 3. For lines 14 to 19, the single number after the equals sign corresponds to the smallest number in the sequence: - Line 14: minimum of (13, 14, 27, 13) is 13 - Line 15: minimum of (16, 22, 3, 7) is 3 but equals sign shows 5, possibly a different pattern - Line 16: minimum of (17, 22, 23, 14) is 14 but result is 17, so pattern might vary - Checking multiple lines, the result seems to be the first number for lines 14, 16, 17, 18, 19 except line 15. 4. Without consistent pattern given explicitly, assume the missing number equals the first number of the sequence based on observed trend. 5. Apply this to lines 20 to 27: - Line 20: sequence (12, 13, 14, 16) missing result, assume result 12 - Line 21: (13, 22, 14, 15), result 13 - Line 22: (17, 19, 20, 22), result 17 - Line 23: (31, 32, 33, 34), result 31 - Line 24: (45, 46, 1, 33), result 45 - Line 25: (13, 31, 16, 17), result 13 - Line 26: (12, 23, 33, 22), result 12 - Line 27: (21, 36, 45, 17), result 21 6. Summary: Missing results are the first elements of each sequence. Final answers: 20. 12 21. 13 22. 17 23. 31 24. 45 25. 13 26. 12 27. 21