Number series (constant decrement −3) Sequence: 44 41 38 35 32 29 26 … Choose the next two numbers.

Difficulty: Easy

Correct Answer: 23 20

Explanation:


Introduction / Context:
This problem checks your ability to spot a simple arithmetic progression with a negative common difference. Such patterns are common in quick-calculation tests.



Given Data / Assumptions:

  • Series provided: 44, 41, 38, 35, 32, 29, 26.
  • Each step appears to reduce the value by a constant.


Concept / Approach:
Compute the difference between consecutive terms. If the difference is consistent, extend by subtracting the same amount.



Step-by-Step Solution:

41 − 44 = −3.38 − 41 = −3.35 − 38 = −3, and so on.Last term shown is 26. Next terms: 26 − 3 = 23; then 23 − 3 = 20.


Verification / Alternative check:
Re-list last few: 32, 29, 26, 23, 20 — maintains the −3 step.



Why Other Options Are Wrong:

  • 24 21, 22 19, 23 19: One or both steps deviate from the −3 pattern.
  • 29 32: Reverses direction and breaks the consistent decrement.


Common Pitfalls:
Accidentally subtracting −2 or −4 due to mental slip.



Final Answer:
23 20

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