Number Series Pattern: Identifying the Outlier

The task is to examine the given number sequence and determine which number deviates from the common pattern or rule governing the series. The sequence provided is:

• $34$
• $68$
• $102$
• $136$
• $170$
• $185$

Analyzing the Series Rule

To identify the pattern, we calculate the difference between consecutive terms:

• $68 - 34 = 34$
• $102 - 68 = 34$
• $136 - 102 = 34$
• $170 - 136 = 34$

We observe a consistent difference of $34$ between the first five consecutive pairs of numbers. This suggests the series follows an arithmetic progression rule where each term is obtained by adding $34$ to the preceding term.

Checking the Final Term Against the Pattern

Following this established pattern, the term after $170$ should be calculated as:

$170 + 34 = 204$

However, the last number listed in the sequence is $185$. Since $185$ is not the expected result ($204$) when applying the identified rule, $185$ is the number that breaks the pattern.

Conclusion: The Number Breaking the Pattern

The number $185$ does not fit the arithmetic sequence where $34$ is added to get the next term. Therefore, $185$ is the number that does not follow the series rule.

The correct option is 4.