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The next number of the sequence 2, 6, 12, 20, 30, 42, 56, ___ is
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- 60
- 64
- 70
- 72
- 60
Correct Option: D
The given sequence is based on the following pattern :
First term = 2
Second term = First term + 4 = 2 + 4 = 6
Third term = Second term + 6 = 6 + 6 = 12
Fourth term = Third term + 8 = 12 + 8 = 20
Fifth term = Fourth term + 10 = 20 + 10 = 30
Sixth term = Fifth term + 12= 30 + 12 = 42
Seventh term = Sixth term + 14= 42 + 14 = 56
Eight term = Seventh term + 16= 56 + 16 = ?
∴ ? = 72
∴ Required number = 72