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-- Start with 0, 1 . -- Each term is then the sum of the two terms before it.
You multiply each term of one binomial by each term of the other binomial. In fact, this works for multiplying any polynomials: multiply each term of one polynomial by each term of the other one. Then add all the terms together.
a sequence in which each term is found by adding the same number
It all depends where one wants to start. There is no first term, there is no last term. There just is.
Any iterative sequence.