Subjects counting and cardinality

Missing Numbers

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Missing Numbers


1. The problem asks to fill in the missing numbers in sequences that increase by a certain pattern. 2. For row 1: The numbers increase by 1 starting from 101. The sequence is 101, 102, 103, 104, 105, 106, 107, 108, 109. No missing numbers here. 3. For row 2: The numbers increase by 10 starting from 350. The sequence is 350, 360, 370, 380, 390, 400, 410, 420, 430. No missing numbers here. 4. For row 3: The sequence starts at 515 and increases by 1 each step. Given 515, ___, 521, ___, ___, ___, ___, ___, ___. - The numbers between 515 and 521 are 516, 517, 518, 519, 520. - So the full sequence is 515, 516, 521, 517, 518, 519, 520, 522, 523. But since 521 is given in the third position, the missing numbers are 516, 517, 518, 519, 520, 522, 523. - However, the problem likely expects a continuous sequence increasing by 1, so the missing numbers are 516, 517, 518, 519, 520, 522, 523. 5. For row 4: The sequence starts at 803 and increases by 5 each step (803, 808, ___, ___, ___, ___, ___, ___, ___). - The numbers increase by 5: 803, 808, 813, 818, 823, 828, 833, 838, 843. - So the missing numbers are 813, 818, 823, 828, 833, 838, 843. 6. For row 5: The sequence starts at 137 and ends at 217 with 9 numbers total. - The difference is 217 - 137 = 80. - There are 8 intervals between 9 numbers, so each interval is $\frac{80}{8} = 10$. - The sequence increases by 10: 137, 147, 157, 167, 177, 187, 197, 207, 217. - The missing numbers are 147, 157, 167, 177, 187, 197, 207. Final answers: - Row 3 missing numbers: 516, 517, 518, 519, 520, 522, 523 - Row 4 missing numbers: 813, 818, 823, 828, 833, 838, 843 - Row 5 missing numbers: 147, 157, 167, 177, 187, 197, 207