1,9,25,49,_
The pattern in this sequence is the square of consecutive odd numbers.
1 = 1^2
9 = 3^2
25 = 5^2
49 = 7^2
Following this pattern, the next number in the sequence would be the square of the next odd number, which is 9. Therefore, the missing number is 81.
81 = 9^2
The pattern in this sequence is that each number is the square of consecutive odd numbers.
So, the missing number after 49 is the square of the next odd number, which is 7.
Therefore, the missing number is 7^2 = 49.
To find the missing number in the sequence 1, 9, 25, 49, _, we need to identify the pattern.
In this sequence, we can observe that each number is a perfect square. The missing number is the next perfect square after 49.
To find the next perfect square, we need to find the square of the next whole number after 49. The next whole number after 49 is 7. So, to find the missing number, we need to calculate the square of 7.
7 x 7 = 49
Therefore, the missing number in the sequence is 7, since the square of 7 is 49. The complete sequence is 1, 9, 25, 49, 64.