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Alik [6]
2 years ago
12

What is the missing term in the geometric sequence?

Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0
Is a geometric sequence, so that means a number is multiplying to current term to get the next one... meaning if we simply divide those two terms, the quotient is that "multiplier", namely the "common ratio"

so... hmm let's try say -1536 and 384

\bf \cfrac{-1536}{384}\implies -4\impliedby \textit{common ratio}
\\\\\\
n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
n=n^{th}\ term\\
----------\\
a_1=-6\\
r=-4\\
n=3
\end{cases}
\\\\\\
\textit{the third term is then }\implies a_3=(-6)(-4)^{3-1}
\\\\\\
a_2=(-6)(-4)^2\implies a_2=-6\cdot 16\implies a_2=-96

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The first step is to write each factor in expanding notation.

This is:

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Now muliply 2 times each term of the terms 100, 20 and 4

=> 2 * 100 = 200

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2 * 4 = 8

Then,

    (100 + 20 + 4 )
x                     2
-----------------------
                       8
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------------------------
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6 0
3 years ago
What is the equation in slope-intercept form of a line that passes through the points (5,3) (4,-3)
Darya [45]

Answer:

y=6x-27

Step-by-step explanation:

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\frac{y_2-y_1}{x_2-x_1} = \frac{rise}{run}

(5,3) (4,-3)

x_1   y_1    \\x_2  y_2\\\\

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as for y-intercept use this method in the attachment

  below

8 0
2 years ago
The equation of a line is 6x-4y=11.
nataly862011 [7]
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2 years ago
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solong [7]

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Step-by-step explanation:

7 0
2 years ago
Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they reque
Svetach [21]
<span>You can calculate the following probabilities:
1. Given that a sampled student is in the Spanish Club, what is the probability they got the Spanish class they requested?
2. Given that a sampled student is not in the Spanish Club, what is the probability they got the Spanish class they requested? If there is a significant difference between the two probabilities, it indicates there is a bias in the selection procedure.

</span><span>Given that, a sampled student is in the Spanish Club, the probability they got the Spanish class they requested is given by 265/335. Given that, a sampled student is not in the Spanish Club, the probability they got the Spanish class they requested is given by 100/165.
</span>
<span>If a student is at the Spanish club, the probability they got the Spanish class they requested is 265/335 = 0.79. If a student is not in the Spanish club, the probability they got the Spanish class they requested is 100/165 = 0.61.
</span>
<span>Based on the calculation, all students do not have an equal chance of getting into the Spanish class that they requested.</span>
7 0
3 years ago
Read 2 more answers
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