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qwelly [4]
3 years ago
8

A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)

=1
Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

a(7) = 0

Step-by-step explanation:

Using the recursive formula and a(1) = 0, a(2) = 1 , then

a(3) = 2a(1) = 2(0) = 0

a(4) = 2a(2) = 2(1) = 2

a(5) = 2a(3) = 2(0) = 0

a(6) = 2a(4) = 2(2) = 4

a(7) = 2a(5) = 2(0) = 0

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A contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across. How many square
SOVA2 [1]

Answer:

A. 346.19 square feet.

Step-by-step explanation:

We have been given that a contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.

To find the square feet of flooring required, we will find area of circle.

Since the length across the circle is 21 feet, so radius of circle will be half of 21 feet.

\text{Radius}=\frac{\text{21 feet}}{2}

\text{Radius}=\text{10.5 feet}

\text{Area of circle}=\pi r^2

\text{Area of circle}=\pi (\text{10.5 feet})^2

\text{Area of circle}=3.14*110.25\text{ feet}^2

\text{Area of circle}=346.185\text{ feet}^2

\text{Area of circle}\approx 346.19\text{ feet}^2

Therefore, 346.19 square feet of flooring will be required.

3 0
4 years ago
Read 2 more answers
A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing a 4 or a number less th
Sonja [21]

Answer:

Step-by-step explanation:

The probability is

P

(

A

)

=

1

3

Explanation:

To calculate the probability you have to count the number of all possible results

|

Ω

|

and the number of results that fulfill the given condition

|

A

|

.

In this case

Ω

=

{

1

,

2

,

3

,

4

,

5

,

6

}

Thereare 6 possible result of a dice toss. So

|

Ω

|

=

6

The given condition is "the result is divisible by

3

", so

A

=

{

3

,

6

}

- those are the only numbers divisible by

3

, so

|

A

|

=

2

.

Finally to calculate the probability we have to divide

|

A

|

by

|

Ω

|

.

P

(

A

)

=

|

A

|

|

Ω

|

=

2

6

=

1

3

Note The probability is never larger than

1

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4 0
3 years ago
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How much does four quarters equal
IceJOKER [234]

1 dollar or 100 cents

5 0
3 years ago
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Brenda took out a personal loan for $12,000 at an interest rate of 12% compounded monthly. She made arrangements to pay the loan
iragen [17]

Answer: her monthly payments would be $267

Step-by-step explanation:

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $12000

r = 0.12/12 = 0.01

n = 12 × 5 = 60

Therefore,

P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]

12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]

P = 12000/{1.817 -1}/[0.01(1.817)]

P = 12000/(0.817/0.01817)

P = 12000/44.96

P = $267

7 0
3 years ago
3x²-4x+7 how do I find the domain?
Eddi Din [679]
The domain of this equation is the lowest x value to the highest x value. For example: lowest is -4 and highest is 3. You would write it as [-4,3]

For this equation, the domain is (-infinity,infinity) because there is no lowest or highest x value.
8 0
3 years ago
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