The next number of the sequence 2, 6, 12, 20, 30, 42, 56, __ is :
The next number of the sequence 2, 6, 12, 20, 30, 42, 56, __ is :
[A]60
[B]64
[C]70
[D]72
72
The given sequence is based on the following pattern :
$latex 2\xrightarrow{+4}6\xrightarrow{+6}12\xrightarrow{+8}20\xrightarrow{+10}30\xrightarrow{+12}42\xrightarrow{+14}56\xrightarrow{+16}\underline{72}$
∴ Required number = 72.