Step-by-step Solution:

Pattern Analysis

The rule for this series is: (previous term × n) - (n + 1), where 'n' starts at 1 and increases by 1 for each step.

• 
  Term 2 (n=1): (8 × 1) - (1 + 1) = 8 - 2 = 6
  


• 
  Term 3 (n=2): (6 × 2) - (2 + 1) = 12 - 3 = 9
  


• 
  Term 4 (n=3): (9 × 3) - (3 + 1) = 27 - 4 = 23
  


• 
  Term 5 (n=4): (23 × 4) - (4 + 1) = 92 - 5 = 87
  


• 
  Next Term (n=5): (87 × 5) - (5 + 1) = 435 - 6 = 429
  

The next number in the series is 429.