What is the explicit formula for the geometric sequence with this recursive formula?

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

7 0

Answer:

A an = -3 * (1/8) ^ (n-1)

Step-by-step explanation:

We know the first term a1 = -3

And the common ratio r = 1/8 from the an = an-1 * 1/8

The explicit formula is

an = a1 r^ (n-1)

an = -3 * (1/8) ^ (n-1)

Alex17521 [72]3 years ago

6 0

Answer:

Step-by-step explanation:

a₁ = -3 ------> first term

r ----> common ratio

$a_{n}=a_{n-1}*\frac{1}{8}\\\\r=\frac{1}{8}\\\\a_{n}=a_{1}*r^{n-1}\\\\a_{n}=-3*(\frac{1}{8})^{n-1}$

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the volume of a cylindrical tank is 936cubic meter. if its height is 6 meter determine the base area of the tank

vladimir2022 [97]

Answer:

156 square m

Step-by-step explanation:

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3 years ago

The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150

tiny-mole [99]

Answer:

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

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