Select the number from among the given options that can replace the question mark (?) in the following series.
24,30,39,51,66,84,?
- A112
- B105
- C96
- D102
Solution & Step-by-step Explanation
Let's compute the differences between consecutive terms:
30−24=6
39−30=9
51−39=12
66−51=15
84−66=18
The differences are multiples of 3 increases: 6,9,12,15,18.
Following this arithmetic progression, the next difference must be:
18+3=21
Therefore, the missing number is:
84+21=105
30−24=6
39−30=9
51−39=12
66−51=15
84−66=18
The differences are multiples of 3 increases: 6,9,12,15,18.
Following this arithmetic progression, the next difference must be:
18+3=21
Therefore, the missing number is:
84+21=105