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

A Sequence Is Recursively Defined As A(n)=2a(n-2) For Values Of N>2. Find The Seventh Term Of The

Answers

Answer 1

Answer:

a(7) = 21

Step-by-step explanation:

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

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

a(4) = a(3) + 2a(2) = 1 + 2(1) = 1 + 2 = 3

a(5) = a(4) + 2a(3) = 3 + 2(1) = 3 + 2 = 5

a(6) = a(5) + 2a(4) = 5 + 2(3) = 5 + 6 = 11

a(7) = a(6) + 2a(5) = 11 + 2(5) = 11 + 10 = 21


Related Questions

A rectangular prism has a length of 11 inches, a width of 2 inches, and a height of 3 inches. What is the volume of the prism?

Answers

Answer:

66 inch ^3

Step-by-step explanation:

The volume of a rectangular prism is LxWxH. So 11x2x3= 66 inches.

Simplify: x + (x-y) + y + (y-x)

Answers

Answer:

x+y

Step-by-step explanation:

It is x+y because if you look at (x-y) and (y-x) they can cancel with each other since x- x and -y+y. All that's left is x+y

1.54 x 10^7 as an ordinary number.​

Answers

Answer:

15,400,000

Step-by-step explanation:

Calculator

On the youth soccer team 3 out of 12 team members have played in previous years. Based on this information , if 180 kids are in the youth soccer league , then how many could be expected to have played the year before

Answers

Answer:

its 3/12 ×180 which is 1/4 of 180 as similar which is = 45. So we find out that 45 members where involved last year in youth soccer league.

solve for x and y. please help. will give brainiest

Answers

Plz refer the picture

plz mark as brainliest

PLEASE HELP! I've reposted this soooo many times and no one answered, I WILL GIVE BRAINLIEST!​

Answers

Answer: C

Step-by-step explanation:

Answer: D

Step-by-step explanation:

1.88 in the equation is the rate of change.

rate of change means, "the speed at which a variable changes over a specific period of time."

L = the length of his femur. every time the femur grows an inch, the height also increases according to the equation.

an example is when the femur is 19 inches.

H = 1.88(19) + 32.01

H = 67.73

The height of the man is 67.72 inches if his femur was 19 inches.

What is the value of the expression (5)³?​

Answers

Answer:

125

Step-by-step explanation:

5³ = 5 · 5 · 5 = 125

Answer:

125

Step-by-step explanation:

(5)^3 = 5*5*5

5*5*5= 25*5= 125

Hope it helped :))

Can somebody please help me with this ? help will be very much helpful:)

Answers

Answer:

lesser x should be -5

greater x should be 5

Step-by-step explanation:

Answer:

x = (5,-5)

Step-by-step explanation:

isolate the variables by dividing each by factors that don't contain the variable

Could someone good at geometry help me please. I will mark brainliest!! :)

Answers

The angle to the right of 78 is 102 the angle to the left of 102 is 78 the one under the 78 is 102 the one above 78 is 102 the one under the 102 is 78 and the one to the left and down of 78 is 78

Identify the function graphed.

Answers

Answer:

its B, A, C

Step-by-step explanation:

correct on edge

Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week?

Answers

Answer:

25 hours per week

Step-by-step explanation:

Step one:

given data

Suri makes $15 per hour and gets a weekly bonus of $25

Juan makes $14 per hour and gets a weekly bonus of $50.

Let the number of hours worked be x

and let the total earned be y

For Surl

The expression for the total is

y= 25+15x-----------1

For Juan

The expression for the total is

y= 50+14x-----------2

Step two:

Equate the two expressions we have

25+15x=50+14x

collect like terms we have

25-50= 14x-15x

-25= -x

x= 25

Yes its is possible that they earned the same amount if they work for 25 hours

The questio is in the picture

Answers

Answer:

It's 14

Step-by-step explanation:

Answer:

i cant see the wording dude make it closer

Step-by-step explanation:

What is one of the values for "X" that satisfy the equation x^2 - 7x - 18 ? A.-9 B. no solutions C.9 D.2​

Answers

Answer:

i think c

Step-by-step explanation:

I think it’s C not sure tho

9. A box of cereal is packaged and sold at a local
grocery store. The volume of the cereal in the
box is 80% of the total volume of the box. The
base of the box measures 10 inches by 3 inches.
The height of the box is 1 foot. What is the
volume of the cereal in the box, measured in
cubic inches?

Answers

Answer:

288 Cubic Inches

Step-by-step explanation:

Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.

First, do Base x Width x Height for the volume of the box.

10 inches x 3 inches x 1 foot      (1 foot is 12 inches)

10 x 3 x 12 = 360

Now, take 80% of 360 cubic inches.

80% is 0.8 times a number

0.8 x 360 = 288

288 Cubic Inches

Just answer the question if you actually answer it you get brainliest and 50 points.

Answers

Step-by-step explanation:

f(x) = a * b^x

We have the following information:

f(0) = a * b^(0) = 15. => a * 1 = 15, a = 15.

f(1) = a * b^(1) = 9. => a * b = 9, (15) * b = 9, b = 0.6.

Hence f(x) = 15 * 0.6^x.

The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.

Answers

Answer:

[tex]A=2x^2+18x+36[/tex]

Step-by-step explanation:

Quadratic Function

It's given the length of a rectangular park is twice its width.

Let's call:

x = width of the rectangular park

2x = length of the rectangular park

The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:

x+3+3=x+6 width of the park and the path

2x+3+3=2x+6 length of the park and the path

The total area is:

A=(x+6)(2x+6)

Operating:

[tex]A=2x^2+6x+12x+36[/tex]

[tex]\boxed{A=2x^2+18x+36}[/tex]

A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.

Answers

Answer:

31.4

Step-by-step explanation:

first you take your radius of 5 and times it by 2.

5 x 2 = 10

times 10 by pie

10 x 3.14 = 31.4

how we know relation is a function ​

Answers

Answer:

Functions are relations that have only one output for any unique input. To tell whether a graphed relation defines a function, you can use the vertical line test.

Simplify x^−7. Write your answer using only positive exponents.

Answers

x-7 Is how you simplify

Positive form is 1/x/7

Find the simple interest for 3 years at a rate of 5% on $200

Answers

Answer:

The simple interest is $30

Step-by-step explanation:

To find this, we use the simple interest formula

Mathematically, this is;

I = PRT/100

P is the principal = $200

R is the rate = 5%

T is the time = 3 years

Substituting these values, we have;

I = (200 * 5 * 3)/100

I = $30

State the domain: x^2 +16x+64

Answers

Answer:

All real numbers

Step-by-step explanation:

x² + 16x + 64 is a parabola that opens up, when graphed.

This means it will have a U shape that will infinitely extend outwards in both directions, across the x axis.

So, the domain will include all real numbers.

Find the values of x any y. Write your answers in simplest form.​

Answers

Step-by-step explanation:

using trignometry,

tan 60 = 3√3/x=√3

→x=3

cos 30 =3√3/y=√3/2

→y=6

Amelia used 1/7 of an ounce of butter to make 1/4 of a pound of Jello. How many ounces of butter are needed to make 1 pound of Jello

Answers

Answer:

4/7

Step-by-step explanation:

Answer:

4/7 ounces of butter makes a pound of jello

Step-by-step explanation:

7 times 4 is 28, so 4/28 ounces of butter for 7/28 pounds of jello. so 4/28 times 4 is 16/28. 16/28 is our answer, then simplified is 4/7. Thats how we get our answer.

The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?

Answers

Answer:

Rs 877.2

Step-by-step explanation:

The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?

The iron box is shaped as a rectangular prism

The formula for the surface area of a rectangular prism is given as:

S = 2(lw + lh + wh)

L = Length = 9ft

W = Width = 4.4ft

H = Height = 2.5 ft

Hence:

Surface area = 2[(9 × 4.4) + (9 × 2.5) +(4.4 × 2.5)]

Surface area = 2[(39.6) + (22.5) + (11)]

Surface area = 2[73.1]

Surface area = 146.2 ft²

From the question:

The cost of the sheet is Rs 6 per Square Foot

1 ft² = Rs 6

146.2 ft² = x

Cross Multiply

x = 146.2 × Rs 6

x = Rs 877.2

The cost of the iron sheet used to make the box is Rs 877.2

10) Solve the inequality for x.
- 2x + 2<-8
A) X<3
B) x < 5
C) X> 3
D) X> 5

Answers

Answer:

it is D

Step-by-step explanation:

Answer:

D.X> 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

2х +3y
what is the value of this equation

Answers

Answer:

12/15

Step-by-step explanation:

Evaluate the following Exponential functions. A. g(x) = (1/2)^x – 3
find: 1. g(0) 2. g(1) 3. g(-2)

Answers

The answer is 3.65g

The process when you do g(2) x 8 u get it

Multiply it by 12 and subtract 13 and the result is 47

Answers

Answer:

The number is 5 as 5x12=60 60-13=47

2 2/7× 11/12 what is the ans

Answers

Answer:

There are 3 different forms of the answer.

Step-by-step explanation:

1. 44/21

2. 2.10

3. 2 2/21

The answer to your question is 44/21 or 2.09524

What is the domain and range if the equation is y= x^2 -2x -8

Answers

Answer:

Domain :

R (all real numbers)

Range :

{y element R : y>=-9}

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