Finding the Missing Number in a Number Series

The question asks us to find the missing number in the given series: 5, 11, 17, ?, 29, 35.

To solve number series problems, we need to identify the pattern or rule that connects the numbers in the sequence. Let's look at the difference between consecutive terms in the given series.

Analyzing the Pattern in the Series

We calculate the difference between adjacent numbers:

• Difference between the second and first term: \(11 - 5 = 6\)
• Difference between the third and second term: \(17 - 11 = 6\)
• Difference between the sixth and fifth term: \(35 - 29 = 6\)

From these calculations, we can observe a consistent pattern: each term in the series is obtained by adding 6 to the previous term.

This suggests that the series follows an arithmetic progression where the common difference is 6.

Calculating the Missing Term

Based on the identified pattern (adding 6 to the previous term), we can find the missing term. The missing term is between 17 and 29. According to the pattern, the missing term should be 6 more than 17.

Missing term = Term before missing term + Common Difference

Missing term = \(17 + 6\)

Missing term = \(23\)

To verify this, let's check if adding 6 to our calculated missing term gives the next number in the series (29).

\(23 + 6 = 29\)

This confirms that our calculated missing term, 23, fits the pattern perfectly.

Therefore, the number that should come in place of the question mark is 23.

Summary of the Series Pattern

The series can be represented as:

• \(5\)
• \(5 + 6 = 11\)
• \(11 + 6 = 17\)
• \(17 + 6 = 23\) (Missing Term)
• \(23 + 6 = 29\)
• \(29 + 6 = 35\)

The complete series is 5, 11, 17, 23, 29, 35.

The missing number is 23.

Revision Table: Number Series Patterns

Additional Information: Solving Number Series Questions

Solving number series questions requires careful observation and pattern recognition. Here are some common strategies:

• Calculate differences between consecutive terms. Look for constant differences (Arithmetic Progression) or a pattern in the differences themselves.
• Calculate ratios between consecutive terms. Look for a constant ratio (Geometric Progression).
• Check for patterns involving squares, cubes, prime numbers, or Fibonacci sequence.
• Look for alternating patterns, where different rules apply to alternate terms.
• Sometimes, the pattern might involve operations on previous terms (e.g., the next term is the sum or product of the previous two).
• If the numbers are large or grow/shrink rapidly, consider multiplication, division, squares, or cubes. If they grow/shrink slowly, consider addition or subtraction.

Practicing different types of series helps in quickly identifying the underlying pattern.