Which of the following numbers will replace the question marks (?) in the given series?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's discover the hidden pattern by computing the differences between the consecutive numbers given in the sequence:
*
*
*
The differences between successive terms () increase progressively by each time (forming an Arithmetic Progression).
Continuing this pattern of differences:
* Next difference should be .
* The following difference should be .
Let's verify if it matches the last term:
* The next difference should be .
Thus, the missing values are and .
*
*
*
The differences between successive terms () increase progressively by each time (forming an Arithmetic Progression).
Continuing this pattern of differences:
* Next difference should be .
* The following difference should be .
Let's verify if it matches the last term:
* The next difference should be .
Thus, the missing values are and .