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Papessa [141]
3 years ago
13

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:

A

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:

volume \: of \: cylindrical \: tank \\  = area \: of \: base \times height \\  \\ 936 = area \: of \: base \times \: 6 \\  \\ area \: of \: base  =  \frac{936}{6}  \\  \\ area \: of \: base  = 156 \:  {m}^{2}

6 0
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}.

The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.

This means that n = 200, \pi = \frac{150}{200} = 0.75

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.}{2} = 0.975, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004

As percent:

0.6996*100% = 69.96%

0.8004*100% = 80.04%.

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

6 0
3 years ago
Yoga classes are offered 2 days a week for 6 weeks at both the community center and the local gym. The cost for the classes at t
s344n2d4d5 [400]

Regina can take yoga classes at community center as it would cost her less money.

Step-by-step explanation:

No. of classes per week = 2

Classes in 6 weeks = 2*6 = 12 classes

Cost of classes at community center = $72

Additional one time fee = $12

Total cost at community center = 72+12 = $84

Cost per class at local gym = $8

Cost of 12 classes = 12*8 = $96

Regina can take yoga classes at community center as it would cost her less money.

Keywords: addition, multiplication

Learn more about addition at:

  • brainly.com/question/3398261
  • brainly.com/question/3614284

#LearnwithBrainly

6 0
3 years ago
Given AC with A (4,-7) and (-4,11) if point B divides AC five-sixths of the way from A to C find the coordinates of B
Taya2010 [7]

Answer:

B: (-8/3 , 8)

Step-by-step explanation:

A (x₁,y₁) (4,-7) and C (x₂,y₂) (-4,11), B (x,y)

AB (a):BC (b) = 5:1

x = (bx₁ + ax₂) / (a+b) = (1*4+5*-4) / (5+1) = -16/6 = - 8/3

y = (by₁ + ay₂) / (a+b) = (1*-7+5*11) / (5+1) = 48/6 = 8

B: (-8/3 , 8)  

5 0
3 years ago
(r - 3)(3r + 6)= ? .....
irga5000 [103]
R(3r+6)-3(3r+6)
3r² +6r-9r-18
3r²-3r-18
4 0
3 years ago
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