\( a _ { n } ) : 1 , \frac { 1 } { 1 + 2 } , \frac { 1 } { 1 + 2 + 3 } , \cdots , \frac { 1 } { 1 + 2 + 3 + \cdots + n } \)

5. \( \forall \alpha \in \mathbb{R} \) için, \( A=-2 \sin \alpha+1 \) olduğuna göre, A nın değer aralığı nedir?

mple 2.19 Show that \( 5^{n}+6^{n}<9^{n} \) for \( n \geq 2 \)

Identify the trace of the surface \( 3 x+2 x^{2}-z^{2}-2 y=5 \) on \( y z \)-plase \( \begin{array}{llll}\text { A. Ellipse } & \text { (B) Circle } & \text { C. Hyperbola } & \text { D. Par }\end{array} \)

Sketch on the same set of axes the graphs of \( f(x)=-2 x^{2}-4 x+6 \) and \( g(x)=-2 \cdot 2^{x-1}+1 \) Clearly indicate all intercepts with the axes, turning point(s) and asymptote(s).

What effect does multiplying the function \( f(x) = 3^x \) by -1 have on its graph? Describe any transformations.