- #1

Vali

- 48

- 0

$$x_{n+2}=(a+b)\cdot x_{n+1}-ab\cdot x_{n}$$

a) If $0<b<a$ and $L=\lim_{n\rightarrow \infty }\frac{x_{n+1}}{x_{n}}$ then $L= ?$

b) If $0<b<a<1$ and $L=\lim_{n\rightarrow \infty }\sum_{k=0}^{n}x_{k}$ then $L= ?$

I don't know how to start.I tried to write the first terms $x_{2},x_{3}...$ but I didn't get too far.