Anyone with Calc 2 knowledge solve this?

A fractal sequence is one that contains itself as a proper subsequence, for example 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, ... If the first occurrence of each n is deleted, the remaining sequence is identical to the original. For example, if we removed the first 1, the first 2, the first 3, the first 4, the first 5, the first 6, ... 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, ... the resulting sequence would be the same as the original sequence. 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5,... The process can be repeated indefinitely, so that the original sequence contains not only one copy of itself, but rather, infinitely many. The Prouhet-Thue-Morse sequence is the fractal sequence defined as follows (for positive n) Po = 0 P2n = Pn and Pan+1 = 1 - Pr Question 1: Find the first eight elements P. P : P2. P3. PA. P5; PG. Py of the Prouhet Thue-Morse sequence. Question 2: Explain how this applies to Calculus