Find a formula for the general term \( a_{n} \) of the sequence assuming the pattern of the first few terms continues. \( \left\{-\frac{9}{2}, \frac{11}{4},-\frac{13}{8}, \frac{15}{16},-\frac{17}{32}, \ldots\right\} \) Assume the first term is \( a_{1} \)

2imalify \( \frac{x^{2}-y^{2}}{x^{2} x y} \) \( \frac{y+2 x-3 y}{3 x-2 y}=4 \), evaluate \( 2 x y \) If \( z=\sqrt{x^{2}-y^{2}} \), express \( x \) interm 9 \( y \) and 2

d the exact value of the solution to the equation \( 2 e^{2 x}-7 e^{x}-4=0 \)

\( \left\{ \begin{array} { l } { 2 x y - y = 7 } \\ { x - 5 y - 2 } \end{array} \right. \)

\( \therefore \sqrt { x } ( x ^ { \frac { 5 } { 2 } } + x ^ { 2 } + 5 ) \)

\( x = \frac { - ( - 1 ) \pm \sqrt { - 79 } } { 2.1 } \)