The missing number is 849.
The numbers in the sequence are the sum of the squares of the first $n$ natural numbers, where $n$ is the position of the number in the sequence. For example, the first number in the sequence is 1, which is the square of 1. The second number in the sequence is 4, which is the sum of the squares of 1 and 2. The third number in the sequence is 9, which is the sum of the squares of 1, 2, and 3.
The missing number is the 10th number in the sequence, which is the sum of the squares of 1, 2, 3, …, 10. This sum is equal to $849$.
Here is a table of the first few numbers in the sequence:
Number | Sum of squares of first $n$ natural numbers
——- | ——–
1 | 1
2 | 4
3 | 9
4 | 16
5 | 25
6 | 36
7 | 49
8 | 64
9 | 81
10 | 100
As you can see, the numbers in the sequence increase rapidly. This is because the square of a number is always greater than or equal to the number itself. For example, $1^2 = 1$, but $2^2 = 4$. This means that the sum of the squares of the first $n$ natural numbers is always greater than or equal to $n$.
The missing number in the sequence is 849. This is because the sum of the squares of the first 10 natural numbers is equal to 100 + 100 + 81 + 64 + 49 + 36 + 25 + 16 + 9 + 4 = 849.