What comes next in the pattern? 2, 6, 12, 20, 30, ?
Correct answer: B. 42
- A. 40
- B. 42
- C. 44
- D. 46
Explanation
The sequence given is 2, 6, 12, 20, 30. To find the pattern, we examine the differences between consecutive terms: 6 - 2 = 4, 12 - 6 = 6, 20 - 12 = 8, and 30 - 20 = 10. Notice that these differences (4, 6, 8, 10) form an arithmetic sequence, increasing by 2 each time. The next difference should be 12, so adding 12 to the last term, 30, gives us 42. Thus, the next number in the pattern is 42. Options 40, 44, and 46 do not fit this pattern of differences.
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