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

Difficulty: Medium

Correct Answer: 30950

Explanation:


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:

7739*4 = 30956.Subtract 6: 30956 − 6 = 30950.


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:

46430, 34650, 42850 correspond to different adjustments and break the −6 continuation.


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



Final Answer:
30950

More Questions from Number Series

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion