Explanation

To determine the pattern in the sequence 2, 6, 12, 36, 72, 216, we need to look at how each term relates to the next. 

• From 2 to 6: 2 times 3 = 6
• From 6 to 12: 6 times 2 = 12
• From 12 to 36: 12 times 3 = 36
• From 36 to 72: 36 times 2 = 72
• From 72 to 216: 72 times 3 = 216

The pattern alternates between multiplying by 3 and 2.

Following this pattern, the next term after 216 would be:

216 times 2 = 432

So, the next number in the sequence is 432.