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denpristay [2]
3 years ago
15

What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of −12?

Mathematics
1 answer:
Lerok [7]3 years ago
4 0
a_1=4;\ a_2=-12\\\\r=\dfrac{a_2}{a_1}\to r=\dfrac{-12}{4}=-3

The formula of a geometric sequence:

a_n=a_1\cdot r^{n-1}

substitute

a_n=4\cdot(-3)^{n-1}

The\ domain:\ \text{all integers where}\ n\geq1

Answer: \boxed{a_n=4(-3)^{n-1};\ \text{all integers where}\ n\geq1}
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A cafeteria worker knows that it takes 3 bottles of juice to serve
marin [14]

Number of bottles of juice are needed for  24 students = 4

Number of bottles of juice are needed for  42 students = 7

<h3><u>Solution:</u></h3>

Given that cafeteria worker knows that it takes 3 bottles of juice to serve  a table of 18 students

<em><u>To find :</u></em>

1) Number of bottles of juice are needed for  24 students

2) Number of bottles of juice are needed for  42 students

Since its given that 3 bottles of juice to serve  a table of 18 students

So, number of bottles required for one student is given as:

Let "a" be the number of bottles required for one student

18 students ⇒ 3 bottles

1 student ⇒ "a" bottles

On cross multiplication we get,

18 \times a = 3 \times 1\\\\a = \frac{3}{18} = \frac{1}{6}

<h3><em><u>Finding number of bottles of juice are needed for  24 students:</u></em></h3>

number of bottles of juice are needed for  24 students = 24 x number of bottle required for 1 student

\text {number of bottles of juice are needed for 24 students }=24 \times \frac{1}{6}=4

<h3><em><u>Finding number of bottles of juice are needed for  42 students:</u></em></h3>

number of bottles of juice are needed for  42 students = 42 x number of bottle required for 1 student

\text {number of bottles of juice are needed for 42 students }=42 \times \frac{1}{6}=7

3 0
4 years ago
3) find different solution<br>of equation 3x+5=0​
icang [17]

Answer:

x=3/5

Step-by-step explanation:

3x+5=0

3x=-5

x=-5/3

6 0
3 years ago
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A student solves the compound inequality 16 &lt; 2x + 4 = 18 and finds the
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answer is in this link: brainly.com/question/17406759

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What exclusions are placed on the variable x for the fraction 4x^2-1/4x+2
aalyn [17]
Below are the choices:

<span>-1/2
0
 -1
 non
</span>
The  exclusions are placed on the variable x for the fraction 4x^2-1/4x+2 is -1/2. Below is the solution, 

<span>4x+2 = 0 so 4x=-2 so x=-2/4 wich is -1/2</span>
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3 years ago
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Need Help, thanks:)<br><br> Please help
just olya [345]
It's answer c for sure
4 0
3 years ago
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