Home » Logical Reasoning » Number Series

Number series — find the next two terms of the sequence: 11, 16, 21, 26, 31, 36, 41

Difficulty: Easy

47 52
46 52
45 49
46 51

Correct Answer: 46 51

Explanation:

Introduction / Context:
This is a straightforward arithmetic progression. Once the constant difference is identified, extending the series is immediate. Such questions test quick recognition of linear growth in number sequences.

Given Data / Assumptions:

Sequence: 11, 16, 21, 26, 31, 36, 41
Find the next two terms (positions 8 and 9).

Concept / Approach:
For an arithmetic progression (AP), each term increases by a constant difference d. Determine d by subtracting any term from the next, then add d repeatedly to project future terms.

Step-by-Step Solution:

Common difference: 16 − 11 = 5 (confirmed across all transitions).Next term: 41 + 5 = 46.Term after that: 46 + 5 = 51.Therefore, the next two terms are 46 and 51.

Verification / Alternative check:

Random check: 31 + 5 = 36 and 36 + 5 = 41, confirming the AP with d = 5.

Why Other Options Are Wrong:

47 52 / 46 52 / 45 49: Each pair breaks the constant +5 pattern at one or both positions.

Common Pitfalls:

Overthinking a simple AP as a complex pattern; always test for constant differences first.

Number series — find the next two terms of the sequence: 11, 16, 21, 26, 31, 36, 41

More Questions from Number Series

Discussion & Comments