Find a number from the given options which best completes the series:39, 416, 525,…......................., 749, 864
Step-by-step Solution:
Given Series: 39, 416, 525, ..., 749, 864
Check the differences between terms:
From the second term onward, the differences form consecutive odd numbers: 109, 111, 113, 115.
The missing term comes after 525, so:
Missing number = 525 + 111 = 636
The correct option is (C) 636.