64 Pour chaque suite, indiquer si elle est géométrique (en précisant sa raison) ou non. \( \begin{array}{ll}\text { 1. } u_{n}=5 n^{2} & \text { 2. } v_{n}=3 \times 4^{n} \\ \text { 3. } w_{n}=\frac{4^{n}}{3^{n+1}} & \text { 4. }\left\{\begin{array}{l}t_{0}=-2 \\ t_{n+1}=t_{n}+2^{n}\end{array}\right. \\ \text { 5. } k_{n}=\frac{4 \times(-5)^{n}}{3} & \text { 6. }\left\{\begin{array}{l}z_{0}=4 \\ z_{n+1}=-3 z_{n}\end{array}\right.\end{array} \)

Find the direction angle of \( v \) for the following vector. \( v=2 i-4 j \) What is the direction angle of \( v \) ? TRound to one decimal place as needed.)

\( \frac{\log x-\sqrt{x^{2}-3 x+2}}{\sqrt{x^{2}-4}} \) For Domain

Determine la forma polar del complejo \( z=-3-\sqrt{3} i \)

Find \( \|\mathbf{v}\| \). \( \begin{array}{l}\mathbf{v}=9 \mathbf{i}-12 \mathbf{j} \\ \|\mathbf{v}\|=\square \text { (Type an exact answer, using radicals as needed. Simplify your answer.) }\end{array} \)

Write the vector v in the form \( \mathrm{ai}+\mathrm{bj} \), given its magnitude \( \|\mathrm{v}\| \) and the angle \( \alpha \) it makes with the positive \( x \)-axis, \[ \alpha v=45^{\circ} \] \( \mathrm{v}=\square \) (Simplify your answer. Type an exact answer using radicals as needed. Type your answer in the form ai + bj.)