%@AUTEUR:Guillaume Connan
prologues:=2;

verbatimtex
%&latex
\documentclass{article}
\usepackage{amssymb}
\begin{document}
etex

input courbes;
input geo;

color vert_e, turquoise, orange, vert_fonce, rose, vert_mer, bleu_ciel, or, rouge_v,bleu_m,bleu,bleu_f;
vert_e:=(0,0.790002,0.340007);
turquoise:=(0.250999,0.878399,0.815699);
orange:=(0.589999,0.269997,0.080004);
vert_fonce:=(0,1.4*0.392193,0);
rose:=(1.0, 0.752907, 0.796106);
bleu_ciel:=(1.2*0.529405,1.2*0.807794,1);%.2*0.921598);
or:=(1,0.843104,0);
rouge_v:=(0.829997,0.099994,0.119999);
bleu_m:=(0.7*0.529405,0.7*0.807794,0.7);%*0.921598);
bleu_f:=(0.211762,0.3231176,0.3686392);
bleu:=(0.529405,0.807794,1);

% A D J A C E N T E S

% Déclarations des constantes %
numeric xmin, xmax, ymin, ymax, N;

ux:=1cm;  uy:=1cm;
xmin := 0 ; xmax := 9;
ymin := -.2; ymax :=3;
  
pair d,h;
d:=(.1*ux,0);
h:=(0,.1*uy);

% Définitions des axes et labels associés
vardef axes =
  drawarrow (ux*xmin,0) -- (ux*xmax,0) ; % axe des x
  label.rt(btex $\mathbb{R}$ etex,(xmax*ux,0) shifted d); %label de l'axe des x
enddef;

beginfig(1); 
  axes;
  path t; % tirets
  t=((0,0) shifted h)--((0,0) shifted -h);

  draw t shifted (ux,0);
  label.bot(btex $a_n$ etex,(ux,0) shifted -1.7h);
  
  draw t shifted (2.5*ux,0);
  label.bot(btex $a_{n+1}$ etex,(2.5*ux,0) shifted -1.7h);
  
  draw t shifted (3.75*ux,0);
  label.bot(btex $a$ etex,(3.75*ux,0) shifted -1.7h);
  
  label.bot(btex $b$ etex,(3.75*ux,0) shifted 6h);
  
  draw t shifted (5*ux,0);
  label.bot(btex $b_{n+1}$ etex,(5*ux,0) shifted 6h);
  
  draw t shifted (6.5*ux,0);
  label.bot(btex $b_n$ etex,(6.5*ux,0) shifted 6h);
  
  label.top( btex $\cdots$ etex,(3.1*ux,0)shifted (0,-.6*uy));
  label.top( btex $\cdots$ etex,(4.4*ux,0)shifted (0,.6*uy));
endfig;
end