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Firlakuza [10]
3 years ago
7

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

Mathematics
2 answers:
dedylja [7]3 years ago
8 0

Answer:

a_n = a_{n-1} \cdot (-\frac{1}{3})

Step-by-step explanation:

The explicit formula for the geometric sequence is given by:

a_n = a_1 \cdot r^{n-1}

where,

a_1 is the first term

r is the common ratio to the following terms.

As per the statement:

Given the explicit formula for geometric sequence:

a_n = 9 \cdot (\frac{-1}{3})^{n-1}

On comparing with [1] we have;

a_1 = 9 and r = -\frac{1}{3}

The recursive formula for geometric sequence is given by:

a_n = a_{n-1} \cdot r

Substitute the given values we have;

a_n = a_{n-1} \cdot (-\frac{1}{3})

Therefore, the recursive formula for the geometric sequence is, a_n = a_{n-1} \cdot (-\frac{1}{3})

Arisa [49]3 years ago
4 0

Answer:

a_0 = -27

a_n = a_(n-1) * (-1/3)

Step-by-step explanation:

First evaluate given formula at n=0 and specify that as starting value

Then find how to get from n-1 to n by comparing two values. In this case the next value is formed by multiplying by -1/3.


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A bank offers auto loans to qualified customers. The amount of the loans are normally distributed and have a known population st
vlabodo [156]

Answer: 1.467

Step-by-step explanation:

Formula of Margin of Error for (n<30):-

E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 22

Level of confidence = 0.90

Significance level : \alpha=1-0.90=0.10

By using the t-distribution table ,

Critical value : t_{n-1, \alpha/2}=t_{21,0.05}= 1.720743

Standard deviation: \sigma=4

Then, we have

E=(1.720743)\dfrac{4}{\sqrt{22}}=1.46745456106\approx1.467

Hence, the margin of error for the confidence interval for the population mean with a 90% confidence level =1.467

5 0
3 years ago
Read 2 more answers
Solve the equation c^2=4
mixas84 [53]

Answer:

c = 2 or c = -2

Step-by-step explanation:

c^2=4\\\\\sqrt{c^2}=\sqrt{4}\\\\ \boxed{c=2; c=-2}

Hope this helps.

7 0
3 years ago
Read 2 more answers
Help ASSAP . Find the perimeter I will give you 20 points and brainlyist.
Tpy6a [65]

Answer:

I think it may be 120 cm

Step-by-step explanation:

A F is 13 using pythagorean theorem on triangle CED and applying the hypotenuse length to A F.

ABC is similar to triangle CED and is dilated by a factor of 3  so the base is 36.

using pythagorean theorem on triangle ABC gets the hypotenuse length of 39 which can be applied to FE

add all the values together

39 + 13 + 15 + 36 +12 +5 = 120

5 0
3 years ago
A great white shark weighted 4,302 pounds. This weight was 3 times the weight of a blue marlin fish. What was the weight of the
Sauron [17]

All you need to do is 4,302 divided by 3. You would get 1434 pounds. I did this in my head. You can split it to get 4,200 divided by 3 + 102 divided by 3. You get 1400 + 34 which is 1434.


7 0
3 years ago
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Is it possible for three vectors of different magnitudes to add to zero?.
amid [387]

Answer:

No, it is not possible to obtain zero by adding two vectors of unequal magnitudes.

Explanation:

The Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vectors of unequal magnitude cannot be added to give a null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.

6 0
2 years ago
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