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U-n-and-V-n-are-two-sequences-verify-U-n-k-0-n-C-n-k-V-k-determine-V-n-interms-of-U-k-0-k-n-




Question Number 61657 by maxmathsup by imad last updated on 05/Jun/19
U_n  and V_n   are two sequences  verify  U_n =Σ_(k=0) ^n  C_n ^k  V_k   determine V_n   interms of  U_k        ,0≤k≤n
$${U}_{{n}} \:{and}\:{V}_{{n}} \:\:{are}\:{two}\:{sequences}\:\:{verify}\:\:{U}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:{C}_{{n}} ^{{k}} \:{V}_{{k}} \\ $$$${determine}\:{V}_{{n}} \:\:{interms}\:{of}\:\:{U}_{{k}} \:\:\:\:\:\:\:,\mathrm{0}\leqslant{k}\leqslant{n} \\ $$

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