Number series (constant decrement −3) Sequence: 32 29 26 23 20 17 14 … Choose the next two numbers.

Difficulty: Easy

Correct Answer: 11 8

Explanation:


Introduction / Context:
This arithmetic progression decreases steadily by a constant amount. Accuracy in repeated subtraction is all that is needed.



Given Data / Assumptions:

  • Sequence: 32, 29, 26, 23, 20, 17, 14.
  • Constant step: −3.


Concept / Approach:
Extend by subtracting 3 sequentially from the last term provided.



Step-by-Step Solution:

After 14, next is 14 − 3 = 11.Then 11 − 3 = 8.


Verification / Alternative check:
Rebuild tail: 20, 17, 14, 11, 8 maintains −3 each time.



Why Other Options Are Wrong:

  • 12 8 / 11 7 / 10 9: At least one value violates the −3 step.
  • 32 29: Repeats earlier terms and ignores continuation.


Common Pitfalls:
Miscalculating one of the subtractions when working quickly.



Final Answer:
11 8

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