olymmath

CN-LEAGUE 1997 Problem 1

    Squence (xn)(x_n) satisfies that xn+1=xn−xn−1(n≥2)x_{n+1}=x_n-x_{n-1}(n\geq2) . If x1=a,x2=bx_1=a,x_2=b , Sn=x1+x2+⋯+xnS_n=x_1+x_2+\cdots+x_n . Wich one is correct? (A)x100=−a,S100=2b−a\text{(A)}x_{100}=-a,S_{100}=2b-a (B)x100=−b,S100=2b−a\text{(B)}x_{100}=-b,S_{100}=2b-a (C)x100=−a,S100=b−a\text{(C)}x_{100}=-a,S_{100}=b-a (D)x100=−b,S100=b−a\text{(D)}x_{100}=-b,S_{100}=b-a

    Dataset text AI-MO AoPS. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator cn-league/1997/p1 · Tag H52ANTX95Q · Edit this page on GitHub · Keys: j next, k previous