Series Pattern Analysis

To find the number that should come in place of the question mark (?), we need to identify the pattern in the given number series: 23, 29, 35, 41, 47.

Let's examine the difference between consecutive terms:

• The difference between the second term (29) and the first term (23) is: $29 - 23 = 6$.
• The difference between the third term (35) and the second term (29) is: $35 - 29 = 6$.
• The difference between the fourth term (41) and the third term (35) is: $41 - 35 = 6$.
• The difference between the fifth term (47) and the fourth term (41) is: $47 - 41 = 6$.

We can see a consistent difference of 6 between each consecutive number in the series. This indicates that the series is an arithmetic progression with a common difference of 6.

Calculating the Missing Term

To find the missing number, we need to add the common difference (6) to the last known term in the series (47).

Calculation:

Missing Term = Last Term + Common Difference

Missing Term = $47 + 6$

Missing Term = $53$

Options Analysis

The given options are:

• 1. 53
• 2. 62
• 3. 59
• 4. 65

Based on our calculation, the number 53 should come in place of the question mark. This matches option 1.

Conclusion

The pattern identified is adding 6 to the previous number. Therefore, the next number in the series 23, 29, 35, 41, 47, ? is 53.