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maw [93]
2 years ago
6

Write the recursive definition for the geometric sequence. Then write the exponential equation using regression

Mathematics
1 answer:
hodyreva [135]2 years ago
8 0

The geometric sequence 128,32,8,2 has a common ratio

The recursive definition of the geometric sequence is a_n = 4a_{n-1} where a1 = 128

<h3>How to determine the recursive definition?</h3>

The geometric sequence is given as:

128,32,8,2

Start by calculating the common ratio (r)

r = \frac{a_{n}}{a_{n-1}}

Substitute 2 for n

r = \frac{a_2}{a_1}

Substitute known values

r = \frac{128}{32}

Evaluate the quotient

r = 4

Substitute 4 for r in r = \frac{a_{n}}{a_{n-1}}

4 = \frac{a_{n}}{a_{n-1}}

Cross multiply

a_n = 4a_{n-1}

Hence, the recursive definition of the geometric sequence is a_n = 4a_{n-1} where a1 = 128

Read more about geometric sequence at:

brainly.com/question/24643676

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Answer:

1) The mean calculated for this case is \bar X=61.5

2)  61.5-5.4=56.1

3) 61.5+5.4=66.9

4) B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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Part 1

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (a)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (b)  

The mean calculated for this case is \bar X=61.5

The sample deviation calculated s=5.143

\mu population mean (variable of interest)

n=6 represent the sample size  

Part 2

The confidence interval for the mean is given by the following formula:

\bar X \pm ME   (1)

So if we have the margin of error 5.4mm we can find the lowr limit like this:

61.5-5.4=56.1

Part 3

61.5+5.4=66.9

Part 4

B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.

4 0
3 years ago
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PLEASE HELP!!
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Answer:

A. 90°+m∠4

Step-by-step explanation:

Also  

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Add 5 to both sides

5 x  =  185

Divide both sides by 5

x =  185  5  =  37

But it was A. 90°+m∠4

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Step-by-step explanation:

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Step-by-step explanation:

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