2(!). Let the formula for the \(n\)-th term of the sequence be \(x=n^{2}\). Write down the first 10 terms of this sequence. Write down the sequence of differences between the second and first terms, the third and second terms, and so on. Write down another sequence of differences between the second and first, the third and second, and so on, of the second sequence. Write down a few terms of the corresponding fourth sequence. What are the terms of the fifth, sixth, ... sequences?
2. The results of the calculations can be recorded in the form of the following table:

![](https://cdn.mathpix.com/cropped/2024_05_21_ffd37dfe6eab44561342g-36.jpg?height=196&width=1154&top_left_y=2018&top_left_x=451)