Identifying the Series Pattern

To find the next numbers in the series, we need to determine the relationship between the consecutive terms: 2, 4, 12, 24, 72, ___, ___.

By observing the multipliers between the numbers, we can identify a clear pattern:

• 2 × 2 = 4
• 4 × 3 = 12
• 12 × 2 = 24
• 24 × 3 = 72

The pattern is an alternating multiplication by 2, then by 3.

Calculating the Next Two Numbers

We continue this alternating pattern to find the next terms:

1. The next step is to multiply the last term (72) by 2:
   72 × 2 = 144
2. Following that, we multiply the new term (144) by 3:
   144 × 3 = 432

Conclusion

The next two numbers that follow in the series are 144, 432.