Which of the following numbers will replace the question mark (?) in the given series?
124,129,136,145,156", ? "

Correct option is D

Given:

Series: 124, 129, 136, 145, 156, ?

Formula Used:

Identify the pattern in the series by observing the differences between consecutive terms. If the differences follow a specific progression, we can predict the next term.

Solution:

1. Find the differences between consecutive terms:

- Difference between 129 and 124: 129 - 124 = 5

- Difference between 136 and 129: 136 - 129 = 7

- Difference between 145 and 136: 145 - 136 = 9

- Difference between 156 and 145: 156 - 145 = 11

2. Observing the pattern in differences:

- The differences between terms are increasing by 2 each time: 5, 7, 9, 11.

3. Predict the next difference by adding 2 to the last difference:

- Next difference = 11 + 2 = 13

4. Add this difference to the last term to find the next term:

156 + 13 = 169

Therefore, the number that will replace the question mark is 169.