Write out the first eight terms of the series to show how the series starts. Then find the sum of the series or show that it diverges. The first eight terms are \( a_{1}=\square, a_{2}=\square, a_{3}=\square, a_{4}=\square, a_{5}=\square, a_{6}=\square, a_{7}=\square \), and \( a_{8}=\square \). (Simplify your answers.) Find the sum of the series or show that it diverges. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. \( \sum_{n=1}^{\infty}\left(3-\frac{7}{3^{n}}\right)=\square \) (Type an integer or a simplified fraction.) B. The sum diverges.

\( 1<\quad \) Find all solutions by factoring.

Determina la solución del sistema \( 3 \times 3 \) : \[ \left\{\begin{array}{c}x-y+2 z=1 \\ 3 x+2 y-z=3 \\ 2 x+y+z=8\end{array}\right. \]

Write each answer in simplest form: \( \begin{array}{ll}5 . \frac{4}{5}+\frac{4}{5} & \text { 124. } \frac{5}{8}-\frac{1}{8} \\ \frac{5}{2} \times \frac{3}{2} & \underset{(29)}{18 .} \frac{3}{10} \times \frac{3}{100}\end{array} \)

a) \( \frac{\sqrt{9}}{\sqrt[3]{3}} \)

study guide Suppose that the quadratic equation \( S=0.0538 x^{2}-0.807 x+7.84 \) models sales of new cars, where should be used to determine sales in 2024 ? Choose the correct answer below. A. \( 24=0.0538 x^{2}-0.807 x+7.84 \) B. \( S=0.0538(2024)^{2}-0.807(2024)+7.84 \) C. \( S=0.0538(24)^{2}-0.807(24)+7.84 \) D. \( 2024=0.0538 x^{2}-0.807 x+7.84 \) ( 20.8