A reasonable answer is 107 (option C).
Step-by-step explanation
Look at the differences between consecutive numbers:
- 41 − 37 = 4
- 50 − 41 = 9
- 64 − 50 = 14
- 83 − 64 = 19
So the sequence of differences is:
4, 9, 14, 19
Now examine these differences:
- 9 − 4 = 5
- 14 − 9 = 5
- 19 − 14 = 5
The differences themselves increase by a constant value of 5.
Therefore, the next difference should be:
19 + 5 = 24
Add this to the last term:
83 + 24 = 107
Verification
| Term | Difference |
|---|---|
| 37 → 41 | +4 |
| 41 → 50 | +9 |
| 50 → 64 | +14 |
| 64 → 83 | +19 |
| 83 → 107 | +24 |
The pattern is perfectly consistent.
Answer
107 (Option C)
