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Home Question Bank Math Pre Algebra Archive 2024 November 23

Pre-algebra Questions from Nov 23,2024

Browse the Pre-algebra Q&A Archive for Nov 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Determine the general term of the geometric sequence. \[ \frac{1}{5}, \frac{1}{10}, \frac{1}{20}, \frac{1}{40}, \ldots \] Write the first five terms of the geometric sequence whose first term is 2 , and whose common ratio is \( -\frac{1}{2} \). Find the sum of the given finite geometric series. \[ 1-\frac{1}{4}+\frac{1}{16}-\frac{1}{64}+\ldots-\frac{1}{262144} \] Find the 12 th term for the geometric sequence. \[ \$ 4000, \$ 4120, \$ 4243.60, \ldots \] \( \leftarrow \begin{array}{l}\text { Graph the equation on paper, and then choose the correct } \\ \text { graph on the right. } \\ y=\left(\frac{1}{5}\right)^{x}\end{array} \). Without graphing, describe the shape of the graph of the function. Find the second coordinates of the points with first coordinates 0 and 1 . \( f(x)=5^{1.9 x} \) The graph exponentially grows. Find the second coordinates of the given first coordinates. \[ \begin{array}{ll}x & f(x)=5^{1.9 x} \\ 0 & f(0)\end{array} \] \( \begin{array}{rl}1 & f(1)\end{array} \) (Round to one decimal place as needed.) Write the first four terms of the recursive sequence. \[ a_{1}=-9, a_{n}=n-a_{n-1} \text { for } n \geq 2 \] Without graphing, describe the shape of the graph of the function. Find the second coordinates of the points with first coordinates 0 and 1 . \( f(x)=4^{2.3 x} \) The graph Rewrite the following series using summation notation. Use 1 as the lower limit of summation. \( 1^{3}+2^{3}+3^{3} \ldots+12^{3} \) Without graphing, describe the shape of the graph of the function. Find the second coordinates of the points with first coordinates 0 and 1 . \( f(x)=1.3^{x} \) The graph exponentially grows. Find the second coordinates of the given first coordinates. \[ \begin{array}{rr}x & f(x)=1.3^{x} \\ 0 & f(0)\end{array} \] \( \begin{aligned} 1 & \\ f(1) & =\square\end{aligned} \) (Round to one decimal place as needed.)
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