Number series — find the next two terms of the sequence: 3, 8, 13, 18, 23, 28, 33

Difficulty: Easy

Correct Answer: 38 43

Explanation:


Introduction / Context:
This series is another arithmetic progression. Quickly spotting the constant difference allows immediate prediction of the next terms—an essential skill for rapid quantitative reasoning.


Given Data / Assumptions:

  • Sequence: 3, 8, 13, 18, 23, 28, 33
  • Find the next two values (positions 8 and 9).


Concept / Approach:
Arithmetic progression with constant difference d. Compute d and add it successively to obtain future terms.


Step-by-Step Solution:

Difference: 8 − 3 = 5 (consistent across the sequence).Next term: 33 + 5 = 38.Term after that: 38 + 5 = 43.Hence, the next two terms are 38 and 43.


Verification / Alternative check:

Check mid-sequence: 18 + 5 = 23 and 23 + 5 = 28, confirming d = 5.


Why Other Options Are Wrong:

39 44 / 38 44 / 37 42 / 33 38: At least one entry in each pair violates the constant +5 progression.


Common Pitfalls:

Confusing this AP with two interleaved series; there is only one constant step here.


Final Answer:
38 43

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