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slamgirl [31]
3 years ago
8

Write each sequence as a function.

Mathematics
2 answers:
Fiesta28 [93]3 years ago
8 0

Answer: f(n)=3^{n-1}

Step-by-step explanation:

Given Recursive formula : a_{n+1} = 3a_n,, a_1=1

Then,  a_2=a_{1+1} = 3a_1=3(1)=3

a_3=a_{2+1} = 3a_2=3(3)=9

a_4=a_{3+1} = 3a_3=3(9)=27

We can write it as : f(n)=3^{n-1}

such that

n      f(n)=3^{n-1}

1       f(1)=3^{1-1}=1

2       f(2)=3^{2-1}=3^1=3

3       f(3)=3^{3-1}=3^2=9

Hence, the required function: f(n)=3^{n-1}

e-lub [12.9K]3 years ago
8 0

Answer:

f(x)=3^x where 0\leq x

Step-by-step explanation:

We are given that a sequence

a_{n+1}=3a_n,a_1=1

Where n\geq 1

We have to write a sequence as   function.

When n=1

a_2=3a_1

a_2=3(1)=3

n=2

a_3=3a_2=3(3)=9=3^2

a_4=3a_3=3(9)=27=3^3

a_5=3(27)=81=3^4

Therefore, the given sequence  can be write as function

f(x)=3^x where 0\leq x

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3 years ago
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12345 [234]
Answer: 358 square units

Steps:
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6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul
drek231 [11]

Answer:

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that n = 1012, \pi = \frac{374}{1012} = 0.3696

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}

E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}

\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0
3 years ago
Please help me!!<br> 2(5– x)3 – 11=151
konstantin123 [22]

Answer:

x = -22

Step-by-step explanation:

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5 0
3 years ago
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Vika [28.1K]
The formula:
A = bh + L (s1 + s2 + s3)

A: area
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h: height
L: length
s1: side 1 (cross-sectional area)
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Here’s an example (see attached image)

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I hope this helped? Comment if you need more explanation or anything!

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