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Paha777 [63]
1 year ago
10

Solve the following to become to brainliest

Mathematics
1 answer:
Lelechka [254]1 year ago
3 0

Answer:

  0

Step-by-step explanation:

To find the slope between the two given points, you can use the given formula for the slope between two points.

__

<h3>given</h3>

The points are (x1, y1) = (-3, 2) and (x2, y2) = (4, 2).

The formula is ...

  slope = (y2 -y1)/(x2 -x1)

__

<h3>use the formula</h3>

Substituting the given values into the formula gives ...

  slope = (2 -2)/(4 -(-3)) = 0/7 = 0

The slope of the line is zero.

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\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\displaystyle\sum \limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio} \end{cases} \\\\[-0.35em] ~\dotfill

\bf S_{20}=\displaystyle\sum \limits_{n=1}^{\stackrel{\stackrel{n}{\downarrow }}{20}}~\stackrel{\stackrel{a_1}{\downarrow }}{3}(\stackrel{\stackrel{r}{\downarrow }}{1.5})^{n-1}\implies S_{20}=3\left(\cfrac{1-1.5^{20}}{1-1.5} \right)\implies S_{20}=3\left(\cfrac{1-\stackrel{\approx}{3325.3}}{-0.5} \right) \\\\\\ S_{20}=3\left(\cfrac{-3324.3}{-0.5} \right)\implies S_{20}=3(6648.6)\implies S_{20}=19945.8

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