Which number will replace the question mark (?) in the following series?
27, 32, 42, 62, ?, 182
- A102
- B116
- C95
- D134
Solution & Step-by-step Explanation
Let's find the difference between consecutive numbers in the series:
32−27=5
42−32=10
62−42=20
The differences are doubling at each step: 5,10,20,…
Following this logic, the next differences should be:
20×2=40
40×2=80
So, the missing number is:
62+40=102
Let's verify with the next term:
102+80=182
This matches the final term. Thus, the correct number is 102.
32−27=5
42−32=10
62−42=20
The differences are doubling at each step: 5,10,20,…
Following this logic, the next differences should be:
20×2=40
40×2=80
So, the missing number is:
62+40=102
Let's verify with the next term:
102+80=182
This matches the final term. Thus, the correct number is 102.