The next term of the sequence 2, 6, 12, 20, ...... is
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The next term of the sequence 2, 6, 12, 20, ...... is
30
24
40
28
The sequence follows the pattern n(n+1) for n=1, 2, 3, 4, 5. The terms are 1*2=2, 2*3=6, 3*4=12, 4*5=20, so the next term is 5*6=30.
The differences between consecutive terms increase by 2 each time. The differences are 6 - 2 = 4, 12 - 6 = 6, and 20 - 12 = 8. Adding the next difference of 10 to the last term gives 20 + 10 = 30.