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3 years ago

Find the 14th term of the geometric sequence 2,6,18, ...

Mathematics

2 answers:

Bumek [7]3 years ago

8 0

Answer:

Step-by-step explanation:

The answer to this question link is here

https://socratic.org/answers/623991

riadik2000 [5.3K]3 years ago

8 0

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is $a_{1}$ , 6 is $a_{2}$ , 18 is $a_{3}$ , etc...
then, $a_{n}$ =2(3)^(n - 1)

For the 14th term, plus in 14 for n, and it will look like this:

= 2(3)^(14 -1)

= 2(3)^(13)

= 3188646

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What measure of center best represents the data set? Drag and drop the correct answer into the box. Data Set Best Measure of Cen

ella [17]

The measure of center best represents the data set is Mean or Median.

Given

Data Set Best Measure of Center {27, 29, 26, 28, 25}.

The mean is the average of a set of data.

The mean is found by finding the sum of the data and then dividing the sum by the number of data.

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The mean of the given data set is;

$\rm Mean = \dfrac{27+29+26+28+25}{5}\\\\Mean =\dfrac{135}{5}\\\\Mean =27$

Arranging the data set in the ascending order

{25, 26, 27, 28, 29}

The median is defined as the middle value of the given data set.

The median of the data set is 27.

Hence, the measure of center best represents the data set is Mean or Median.

To know more about mean and median click the link is given below.

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1 year ago

Lateral area of cylinder

enyata [817]

lateral area = 2 X pi X r X H

= 2 x 3.14 x 5 x 9 = 282.6

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3 years ago

Michael consumes a 16-ounce bag of potato chips and 12-ounce bag of pretzels every day after school. How many more ounces of pot

Paladinen [302]

Every day, Michael consumes 4 more ounces than the pretzels. Multiply 5 by 4 to recieve the answer:

4 x 5 = 20

So the answer is A.

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2 years ago

Read 2 more answers

Suppose corn chips cost 28.5 cents per ounce. If a bag costs $3.75, how many ounces are in the bag of chips? Round to the neares

ki77a [65]

13.16oz are in the bag because $3.75÷$0.285 is 13.16oz

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3 years ago

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Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$

$y'+\dfrac yx=x^4$

Multiplying both sides by $x$ gives

$xy'+y=x^5$

Notice that the left side can be condensed as the derivative of a product:

$(xy)'=x^5$

Integrating both sides with respect to $x$ yields

$xy=\dfrac{x^6}6+C$

$\implies y(x)=\dfrac{x^5}6+\dfrac Cx$

Since $y(1)=1$ ,

$1=\dfrac16+C\implies C=\dfrac56$

so that

$\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}$

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3 years ago