grandes-ecoles 2016 QI.A.8

grandes-ecoles · France · centrale-maths2__pc Proof Deduction or Consequence from Prior Results
Deduce the inversion formula: for every integer $k \in \mathbb{N}$, $$u_k = \sum_{j=0}^{k} (-1)^{k-j} \binom{k}{j} v_j$$ 
Deduce the inversion formula: for every integer $k \in \mathbb{N}$,
$$u_k = \sum_{j=0}^{k} (-1)^{k-j} \binom{k}{j} v_j$$
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.A.5 QI.A.6 QI.A.7 QI.A.8 QI.A.9 QI.B.1 QI.B.2 QI.B.3 QI.B.4 QI.B.5 QI.B.6 QI.B.7 QII.A.1 QII.A.2 QII.A.3 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QII.C QIII.A.1 QIII.A.2 QIII.A.3 QIII.A.4 QIII.A.5 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C.1 QIII.C.2 QIII.C.3 QIII.C.4 QIII.C.5 QIV.A.1 QIV.A.2 QIV.A.3 QIV.A.4 QIV.B.1 QIV.B.2 QIV.B.3 QIV.C.1 QIV.C.2 QIV.C.3