Find the missing term in the series:
3, 6, 11, 18, 27, ?
3, 6, 11, 18, 27, ?
Show Hint
- 36
- 39
- 40
- 38
The Correct Option is D
Solution and Explanation
To solve the problem, we need to find the pattern in the series and identify the missing term.
1. Understanding the Concepts:
- Number Series: A sequence of numbers that follow a specific pattern.
- Pattern Recognition: Identify the rule governing the progression from one term to the next.
2. Given Series:
3, 6, 11, 18, 27, ?
3. Analyzing the Differences:
Calculate the differences between consecutive terms:
6 - 3 = 3
11 - 6 = 5
18 - 11 = 7
27 - 18 = 9
4. Identify the Pattern:
The differences form the sequence: 3, 5, 7, 9
This is an increasing sequence of odd numbers, increasing by 2 each time.
The next difference should be 11.
5. Calculate the Missing Term:
Last known term = 27
Next term = 27 + 11 = 38
Final Answer:
The missing term in the series is 38.
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