Find the next two numbers in the series. Sequence: 42, 40, 38, 35, 33, 31, 28, ____ , ____

Difficulty: Easy

Correct Answer: 26 24

Explanation:


Introduction / Context:
This is a decreasing series with a repeating difference pattern. Spotting a cycle of differences is a key skill in quantitative reasoning series problems.


Given Data / Assumptions:

  • Sequence provided: 42, 40, 38, 35, 33, 31, 28
  • Find the next two terms.


Concept / Approach:
Compute consecutive differences and look for a cycle.


Step-by-Step Solution:

Differences: 42→40 (-2), 40→38 (-2), 38→35 (-3), 35→33 (-2), 33→31 (-2), 31→28 (-3).Pattern repeats: -2, -2, -3, -2, -2, -3, …After 28 (which resulted from a -3), the cycle restarts with -2 and -2.Next: 28 - 2 = 26.Then: 26 - 2 = 24.


Verification / Alternative check:
Plugging 26 and 24 maintains the -2, -2, -3 cycle if we look ahead to the subsequent step (which would be -3).


Why Other Options Are Wrong:

  • 25 22 / 26 23 / 25 23 / 26 22: Each breaks the required -2, -2 continuation after the -3 step.


Common Pitfalls:
Many test-takers apply a constant difference or misread the cycle order. Always list differences explicitly and check for periodicity.


Final Answer:
26 24

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