Let-R-n-m-R-n-1-m-R-n-1-m-1-if-R-1-1-6-R-2-1-8-R-3-1-1-and-t-R-4-t-0-a-Find-R-1-21-b-Find-R-1-n-

Tinku Tara June 3, 2023 None 0 Comments

Question Number 135971 by Raxreedoroid last updated on 17/Mar/21

Let R(n,m)=R(n−1,m)+R(n−1,m−1) if R(1,1)=−6,R(2,1)=8,R(3,1)=−1 and ∀t R(4,t)=0 a) Find R(1,21) b) Find R(1,n)

$$ \\ $$$$\mathrm{Let}\:{R}\left({n},{m}\right)={R}\left({n}−\mathrm{1},{m}\right)+{R}\left({n}−\mathrm{1},{m}−\mathrm{1}\right) \\ $$$$\mathrm{if}\:{R}\left(\mathrm{1},\mathrm{1}\right)=−\mathrm{6},{R}\left(\mathrm{2},\mathrm{1}\right)=\mathrm{8},{R}\left(\mathrm{3},\mathrm{1}\right)=−\mathrm{1} \\ $$$$\mathrm{and}\:\forall{t}\:{R}\left(\mathrm{4},{t}\right)=\mathrm{0} \\ $$$$ \\ $$$$ \\ $$$$\left.{a}\right)\:\mathrm{Find}\:{R}\left(\mathrm{1},\mathrm{21}\right) \\ $$$$ \\ $$$$\left.{b}\right)\:\mathrm{Find}\:{R}\left(\mathrm{1},{n}\right) \\ $$$$ \\ $$

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Let-R-n-m-R-n-1-m-R-n-1-m-1-if-R-1-1-6-R-2-1-8-R-3-1-1-and-t-R-4-t-0-a-Find-R-1-21-b-Find-R-1-n-

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