In the following question, select the missing number from the given series: 59, 68, 78, 89, 101, ?

Introduction / Context:
This question checks recognition of a series where the differences between consecutive terms increase in a simple arithmetic fashion. The series 59, 68, 78, 89, 101, ? grows steadily, but not by a fixed amount. Instead, the increment itself increases by 1 each time, which is a common pattern in number series questions.

Given Data / Assumptions:
- Terms: 59, 68, 78, 89, 101, ?- One final term is missing.- The sequence is strictly increasing.- We expect a regular pattern in the step sizes between terms.

Concept / Approach:
The natural method is to compute consecutive differences, then examine how those differences themselves change. If the differences form an arithmetic progression, we can extend that smaller progression to get the next difference and thus the next term in the main series.

Step-by-Step Solution:
- Difference from 59 to 68: 68 - 59 = 9.- Difference from 68 to 78: 78 - 68 = 10.- Difference from 78 to 89: 89 - 78 = 11.- Difference from 89 to 101: 101 - 89 = 12.- The differences 9, 10, 11, 12 form an arithmetic progression with common difference 1.- The next difference should therefore be 13.- Add this to the last known term: 101 + 13 = 114.- So the missing term is 114.

Verification / Alternative check:
- Reconstructing with the identified pattern: 59 (+9) = 68, (+10) = 78, (+11) = 89, (+12) = 101, (+13) = 114.- The full sequence of differences 9, 10, 11, 12, 13 is perfectly regular.- No other candidate value gives this clean progression.

Why Other Options Are Wrong:
- 116, 118, 120 and 112 correspond to differences of 15, 17, 19 and 11 from 101, which do not continue the pattern of increasing by 1 at each step.- In particular, 112 repeats a difference of 11, while the pattern clearly demands 13 after 12.

Common Pitfalls:
- Some candidates mistakenly assume a constant difference and, when they see this is not true, abandon the difference method altogether.- Miscalculating one difference can hide the underlying arithmetic progression in the step sizes.- Jumping directly to options without checking the full pattern of differences often leads to incorrect guesses.

Final Answer:
The differences increase by 1 each time (9, 10, 11, 12, 13), so the missing term is 114.