Identify the next number in the Series:

2, 5, 12, 27, 58, 121, __ 

Solution:

1. Find the differences between consecutive terms:
   • 5 - 2 = 3
   • 12 - 5 = 7
   • 27 - 12 = 15
   • 58 - 27 = 31
   • 121 - 58 = 63
2. Notice the pattern in the differences: 
   3, 7, 15, 31, 63
3. Each difference is obtained by multiplying the previous difference by 2 and adding 1: 
   dn+1 = 2 × dn + 1
4. Next difference: 
   63 × 2 + 1 = 127
5. Add this to the last term: 
   121 + 127 = 248

So, the next number in the series is 248.