Final answer:
The common difference in the sequence 4, 24, 44, 64 is found by subtracting successive terms, revealing a consistent difference of 20.
Step-by-step explanation:
To find the common difference in the sequence 4, 24, 44, 64, we subtract the first term from the second term, and then the second term from the third term, to ensure the difference is consistent:
- 24 - 4 = 20
- 44 - 24 = 20
- 64 - 44 = 20
Since the difference is consistent, the common difference is 20. Therefore, the answer is option c. 20.