Number series (constant decrement −4) Sequence: 34 30 26 22 18 14 10 … Choose the next two numbers.

Difficulty: Easy

Correct Answer: 6 2

Explanation:


Introduction / Context:
A straightforward arithmetic progression with a fixed negative step size challenges you to maintain accuracy over multiple decrements.



Given Data / Assumptions:

  • Given sequence: 34, 30, 26, 22, 18, 14, 10.
  • The common difference appears constant.


Concept / Approach:
Check consecutive differences to confirm the common difference, then continue the pattern by the same subtraction.



Step-by-Step Solution:

30 − 34 = −4; 26 − 30 = −4; 22 − 26 = −4; …After 10, next terms are 10 − 4 = 6 and 6 − 4 = 2.


Verification / Alternative check:
Writing the tail: 18, 14, 10, 6, 2 confirms a constant −4 cadence.



Why Other Options Are Wrong:

  • 8 6 and 6 4: One value fits but the second breaks the −4 rule.
  • 14 18: Reverses direction.
  • 4 0: Skips the required 6 after 10.


Common Pitfalls:
Skipping a step when counting down by fours.



Final Answer:
6 2

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