Answer:
he answer is 49.
Explanation:
To find the missing number in the pattern of perfect squares, we can observe that the given numbers are arranged in increasing order. The missing number should fit the pattern of perfect squares.
The given numbers are: 16, 25, 36, ____, 64, 81.
The pattern suggests that each number is the square of a certain integer. Let's find the missing number by looking at the square root of each given number:
√16 = 4,
√25 = 5,
√36 = 6,
_____,
√64 = 8,
√81 = 9.
From the above calculations, we can see that the missing number is the square of 7, since √49 = 7. Therefore, the missing number in the pattern is 49.
So, the answer is 49.