The sequence below has an \( n^{\text {th }} \) term rule of the form \( a n^{2}+b n+c \), where \( a, b \) and \( c \) are whole numbers. Find the \( n^{\text {th }} \) term rule for this sequence. \[ 11 \rightarrow 22 \rightarrow 37 \rightarrow 56 \rightarrow 79 \rightarrow \]

Find the value of \( k \) that makes \( f(x) \) continuous at \( x=-1 \) \[ f(x)=\left\{\begin{array}{ll}\frac{x+1}{x^{2}+3 x+2} & \text { if } x \neq- \\ k & \text { if } x=-\end{array}\right. \] \( k=\square \)

01. Al repartir una cantidad "A" en forma DP a los numeros \( 1 ; 2 ; 3 \) y 5 , las dos cantidades mayores repartidas suman 160 . Determinar el valor de "A". \( \begin{array}{lll}\text { A) } 20 & \text { B) } 40 & \text { C) } 60 \\ \text { D) } 180 & \text { E) } 220 & \end{array} \)

4. La expresión correcta para calcular sen \( 225^{\circ} \) sin usar calcualadora es: \( \begin{array}{llll}\text { A. } \operatorname{sen} 180^{\circ}+\operatorname{sen} 45^{\circ} & \text { B. } \operatorname{sen} 200^{\circ}+\operatorname{sen} 25^{\circ} & \text { C. } \operatorname{sen}\left(270^{\circ}-45^{\circ}\right) & \text { D. } \operatorname{sen}\left(180^{\circ}-45^{\circ}\right)\end{array} \)

(2) Hallar la ecuación de la recta ge es paralela a \( -x+y=\frac{1}{2} \) recta y que pasa porel pento \( s\left(10, \frac{7}{4}\right) \)

4.- \( \begin{array}{ll}\text { a) }\left(2^{3} \cdot 2^{1}\right) \cdot 1^{3}= & \text { b) }\left(100 \cdot 2^{-1}\right) \cdot 10^{-5}= \\ \text { c) }\left(2^{3} \cdot 10^{5}\right): 1000 & \text { d) }\left(100^{-2}: 100^{-3}\right) \\ \text { e) } 2\left(10^{2} \cdot 1^{5} \cdot 100\right) & \text { d) }\left[\left(2^{3} \cdot 3^{3}\right):\left(6^{2} \cdot 6^{3}\right)\right] \\ \text { g) } 10^{2}+\left(5^{0} \cdot 1^{5}\right) & \end{array} \)