solns2 - MATH 239 Assignment 2 Due Friday May 23 1 Using the binomial theorem nd an expression for the coecient of xn in(1 x)2(1 3x)2 Rewrite this sum

solns2 - MATH 239 Assignment 2 Due Friday May 23 1 Using...

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MATH 239: Assignment 2 Due: Friday, May 23 1.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.)

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