a. As Pieter sewe jaar jonger is as Jabu en Jabu is twee jaar over as Isnepo, noe oud is Jabu en Tshepo as Pieter 12 jaar oud is?

1. \( u_{n}=3 n-5 \).

Given: \( 2^{x+1}+2^{x}=3^{y+2}-3^{y} \) Solve for \( x \) and \( y \), where \( x \) and \( y \) are integers.

Write the following as a singlo rational expression. \( \frac{170+50 x}{x}+\frac{120+30 x}{x} \) a.) \( \frac{50+20 x}{x^{2}} \) b.) \( \frac{17+5 x}{12+3 x} \) c.) \( \frac{120+30 x}{170+50 x} \) d.) \( \frac{2(25+10 x)}{x^{2}} \)

Divide the following two complex numbers. \( \frac{3+2 i}{5-3 i} \) a.) \( \frac{9}{16}+\frac{19}{16} i \) b.) \( \frac{21}{16}+\frac{19}{16} i \) c.) \( \frac{9}{34}+\frac{19}{34} i \) d.) \( \frac{21}{34}+\frac{19}{34} i \)

44. Calculer les limites suivantes. \( \begin{array}{ll}\text { 1. } \lim _{n \rightarrow+\infty} \frac{-3 n}{2 \mathrm{e}^{-n}} & \text { 2. } \lim _{n \rightarrow+\infty} \frac{2}{\sqrt{n}}(3 n-4) \\ \text { 3. } \lim _{n \rightarrow+\infty} \frac{-2 n^{3}}{n^{2}+5 n+1} & \text { 4. } \lim _{n \rightarrow+\infty} \frac{5 n-n^{2}}{2 n^{4}-6 n^{2}}\end{array} \)