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2 years ago

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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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)

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

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Part 2

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

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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.

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Dima020 [189]

Answer:

A. 90°+m∠4

Step-by-step explanation:

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

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