1. $$\begin{array}{ccc}\text{Proprieˊteˊs}& \text{Suite arithmeˊtique}& \text{Suite geˊomeˊtrique}\\ \text{Deˊfinition}& u_{n+1}=u_n+r& u_{n+1}=u_n\times q\\ \text{Terme geˊneˊral}& \{\begin{array}{l}{u}_n=u_0+nr\\ u_n=u_1+(n-1)r\end{array}& \{\begin{array}{l}{u}_n=u_0\cdot q^n\\ u_n=u_1\cdot q^{n-1}\end{array}\\ \text{Raison}& r=u_{n+1}-u_n& q=\frac{u_{n+1}}{u_n}(u_n\ne 0)\\ \text{Variation}& \{\begin{array}{l}r>0\Rightarrow \text{croissante}\\ r<0\Rightarrow \text{deˊcroissante}\\ r=0\Rightarrow \text{constante}\end{array}& \{\begin{array}{l}q>1\Rightarrow \text{croissante si }{u}_0>0\\ 0<q<1\Rightarrow \text{deˊcroissante si }{u}_0>0\\ q<0\Rightarrow \text{oscillante}\end{array}\\ \text{Somme}& S_n=\frac{n}{2}(u_0+u_{n-1})& \{\begin{array}{l}q\ne 1\Rightarrow S_n=u_0\cdot \frac{1-q^n}{1-q}\\ q=1\Rightarrow S_n=n\cdot u_0\end{array}\\ \text{Modeˋle}& \begin{array}{l}\text{Eˊvolution lineˊaire}\\ \text{Ex : salaires, loyers}\\ \text{ajout ou retrait fixe}\end{array}& \begin{array}{l}\text{Eˊvolution exponentielle}\\ \text{Ex : inteˊreˆts, population}\\ \text{+ }p\%:q=1+\frac{p}{100}\\ \text{– }p\%:q=1-\frac{p}{100}\end{array}\end{array}$$