Which of the following numbers will replace the question mark (?) in the given series?
73, 57, 43, 31, ?, 13
- A27
- B25
- C29
- D21
Solution & Step-by-step Explanation
Let's check the differences between consecutive terms in the series:
73−57=16
57−43=14
43−31=12
The differences form a decreasing sequence of consecutive even numbers: 16,14,12,…
Following this logic, the next difference must be 10:
31−10=21
Let's check the next term with a difference of 8:
21−8=13
This perfectly matches the final term of the series. Therefore, the missing number is 21.
73−57=16
57−43=14
43−31=12
The differences form a decreasing sequence of consecutive even numbers: 16,14,12,…
Following this logic, the next difference must be 10:
31−10=21
Let's check the next term with a difference of 8:
21−8=13
This perfectly matches the final term of the series. Therefore, the missing number is 21.