Find the next number in the series: 2, 6, 12, 20, 30, ___.
Question
Find the next number in the series: 2, 6, 12, 20, 30, ___.
Solution
The pattern in this series is that each number is increasing by increasing multiples of 2.
- The difference between 6 and 2 is 4 (2*2).
- The difference between 12 and 6 is 6 (3*2).
- The difference between 20 and 12 is 8 (4*2).
- The difference between 30 and 20 is 10 (5*2).
Following this pattern, the difference between the next number and 30 should be 12 (6*2).
So, the next number in the series would be 30 + 12 = 42.
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