Question

Find the missing term in the series:
3, 6, 11, 18, 27, ?

• A. 36
• B. 39
• C. 40
• D. 38

Hint:

Look at the differences between terms in a series; increasing or decreasing patterns often follow simple arithmetic progressions.

Answer 1

The Correct Option is D

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.