Series Pattern Analysis: 92 163 234 ? 376

The question presents a numerical series: 92, 163, 234, ?, 376. The goal is to identify the pattern governing this series and determine the number that should replace the question mark (?).

Finding the Missing Number

To find the missing number, let's examine the difference between consecutive terms in the series:

• Difference between the second and first term: $163 - 92 = 71$
• Difference between the third and second term: $234 - 163 = 71$

Observing these differences, we notice a consistent pattern: each term is obtained by adding 71 to the previous term. This suggests the series is an arithmetic progression with a common difference of 71.

Calculating the Missing Term

Using the identified pattern, we can calculate the missing term:

• Add the common difference (71) to the third term (234): $234 + 71 = 305$

To confirm, let's check if adding 71 to this calculated term results in the final term (376):

• Add the common difference (71) to the calculated missing term (305): $305 + 71 = 376$

Since $305 + 71$ correctly equals 376, the pattern holds true.

Conclusion for Series Completion

Therefore, the number that should come in place of the question mark (?) in the series 92, 163, 234, ?, 376 is 305.