Number series – find the missing term by decreasing differences: 125, 80, 45, ?, 5

Difficulty: Easy

Correct Answer: 20

Explanation:


Introduction / Context:
This is a simple linear-difference ladder with a steady decrement in the subtractions.



Observation / Approach:

  • 125 → 80 (−45)
  • 80 → 45 (−35)
  • 45 → ? (−25)
  • ? → 5 (−15)


Step-by-Step Solution:
Apply the next decrement (−25): 45 − 25 = 20.



Verification / Alternative check:
Continuing: 20 − 15 = 5, which matches the final given term.



Why Other Options Are Wrong:
30, 25, 35, 15 violate the steady “−10 each time” reduction in the subtractions (−45, −35, −25, −15).



Common Pitfalls:
Looking for multiplicative rules where consistent linear decrements suffice.



Final Answer:
20

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