Which one of the following supplies the missing number in this series - 1, 4, 10, 19, ?
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Which one of the following supplies the missing number in this series - 1, 4, 10, 19, ?
28
31
32
33
Differences: 4-1=3, 10-4=6, 19-10=9. The differences are multiples of 3. The next difference is 12. 19+12=31.
The differences between the consecutive terms of the series are increasing odd numbers. The first difference is 4 - 1 = 3, and the second difference is 10 - 4 = 6, while the third is 19 - 10 = 9. Following this pattern of differences, the next difference must be 12, making the missing number 19 + 12 = 31.