please see attached thank you! Multiple ChoiceThe Binomial Theorem says that for any positive integer n and any real numbers x and y,Eo )z*yn-k = (x -- y)*Use the Binomial Theorem to select the correct value for .-Use the Binomial Theorem to select the correct value for .O (-1)n1(-2)"

To find the value of ∑k=0n-2knk rewrite the expression as ∑k=0n-2k1n-knk=∑k=0nnk-2k1n-k

Answered: Eo )a*y%* = (x -- y)" Use the Binomial…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter13: Sequences And Series

Section13.CR: Chapter Review

Problem 12CC

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DISCUSS • DISCOVER: Why ls (;) the Same as C(n,r)? This explains why binomial coefficients (;) that appear in expansion of (x + y)" are the same as C(n, r). num-bar Of ways of choosing r objects from n objects. first. Note that expanding a binomial using only the Distributive property gives (x+y)2=(x+y)(x+y) =(x+y)x+(x+y)y =xx+xy+yx+yy (x+y)3=(x+y)x+(xx+xy+yx+yy) =xxx+xxy+xyx+xyy+yxx +yxy+yyx+yyy (a) Expand (x+y)5 using only the Distributive Property. (b) Write all that the term represents x2y3 . These are all the terms that contain two x' s and three y's. (C) Note that tie two x's appear in all possible positions. Conclude that the number of terms that represent x2y3 is C (5,2) (d) In general, explain why (;) in the Binomial theorem is the same as C(n, r).
Term of a Binomial Expansion Find the indicated terms in the expansion of the given binomial. 37. The 100th terms in the expansion of (1+y)100

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Eo )a*y%* = (x -- y)" Use the Binomial Theorem to select the correct value for .

Eo )ay% = (x -- y)" Use the Binomial Theorem to select the correct value for .