Number series – “×4 then subtract 1, 2, 3, 4, 5, …”: 8, 31, 122, 485, 1936, 7739, ? Continue the rule to obtain the next term.

Introduction / Context:This pattern couples a strong multiplication (×4) with a steadily growing subtraction (−1, −2, −3, …). Such “multiply then adjust” constructions are frequently used to test multi-step pattern recognition under time pressure.

Given Data / Assumptions:

• 8 → 31 = 8*4 − 1
• 31 → 122 = 31*4 − 2
• 122 → 485 = 122*4 − 3
• 485 → 1936 = 485*4 − 4
• 1936 → 7739 = 1936*4 − 5

Concept / Approach:Next step uses −6 after ×4.

Step-by-Step Solution:

Verification / Alternative check:Each subtraction increment increases by 1, and the ×4 factor is constant across steps—both conditions satisfied.

Why Other Options Are Wrong:

Common Pitfalls:Assuming pure ×4; always check for small additive/subtractive ladders layered on a big multiplier.

Final Answer:30950