A. 48
B. 25
C. 32
D. None of these
🧠 Explanation:
In the series 4, 9, 16, x, 36, 49, 64, the value of x is 25. The series represents square numbers: 2²=4, 3²=9, 4²=16, 5²=25, 6²=36, 7²=49, 8²=64. Thus, x=5²=25. This pattern, studied in mathematics, is fundamental in number theory and sequence analysis, applied in algorithms and modeling. Identifying 25 ensures the sequence’s continuity, highlighting the importance of recognizing numerical patterns for accurate predictions in fields like finance, engineering, and data science, ensuring precision in mathematical applications.
