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MATH 239: Assignment 2Due: Friday, May 231.Using the binomial theorem, find an expression for the coefficient ofxnin(1 +x)-2(1-3x)-2Rewrite this sum in a simpler form (with no binomial coefficients) andcompute its value forn= 0,1,2,3,4.1
2.Find the generating function, as a product of polynomials or power series,for the integers between 0 and 999,999, weighted by the sum of their digits.(For example, the weight of 3062 is 11.)