Number series – multiply by 1.5, 2, 2.5, 3, … and add +1 each time: 45, 46, 70, 141, ?, 1061.5

Difficulty: Medium

Correct Answer: 353.5

Explanation:


Introduction / Context:
This series grows via steadily increasing multiplicative factors, with a small constant adjustment of +1 at each step. Such “multiplier ladder + constant” patterns are common in reasoning sets.



Given Data / Assumptions:

  • 45 → 46 (×1 + 1),
  • 46 → 70 (46×1.5 + 1),
  • 70 → 141 (70×2 + 1).


Concept / Approach:
Multipliers rise by 0.5 each time: 1.5, 2.0, 2.5, 3.0, … and each step adds +1. Apply ×2.5 + 1 to 141 to get the missing value; the next visible step ×3 + 1 should then reach 1061.5 from that value.



Step-by-Step Solution:

Missing term = 141×2.5 + 1 = 352.5 + 1 = 353.5.Check next: 353.5×3 + 1 = 1060.5 + 1 = 1061.5 ✓


Verification / Alternative check:
The 0.5 step in multipliers is consistent, and +1 appears in every jump.



Why Other Options Are Wrong:

352/352.5/353 would miss the exact +1 after ×2.5.


Common Pitfalls:
Trying a single fixed multiplier (e.g., ×2) and ignoring the growing factor.



Final Answer:
353.5

Discussion & Comments

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