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

Answers

Answer 1

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


Related Questions

Solve x−8>−4.

The solution is ??

Answers

Answer:

[tex]x > 4[/tex]

Step-by-step explanation:

1. Add 8 to both sides.

[tex]x > - 4 + 8[/tex]

2. Simplify -4 + 8 to 4.

[tex]x > 4[/tex]

Therefor, the answer is, x > 4.

Answer:

[tex]x - 8 > - 4 \\ x > 8 - 4 \\ \boxed{x > 4}[/tex]

x>4 is the right answer.

what is the scale factor of 8, 10, 14 to 12, 15, 21?

Answers

Answer:

The scale factor is 2/3

Step-by-step explanation:

The scale factor of 8, 10, 14 to 12, 15, 21 is 3/2.

What is Scale Factor?

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

the numbers 8, 10, 14 is changed to 12, 15, 21.

Scale factor is the ratio of the change in the dimensions.

Scale factor will be the same for 12/8 or 15/10 or 21/14.

Scale factor = 12/8 = 3/2

Hence the scale factor is 3/2.

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How Many Terms Are In The Expression When Simplified ?
2x+3xy-(x+y)+2

Answers

Answer:

four (x+3xy-y+2)

Step-by-step explanation:

Question : 2x + 3xy -(x +y)+2

=2x+3xy -x -y + 2 then collect like terms

=2x-x+3xy-y+2

=x + 3xy -y + 2

if it's helpful ❤❤

THANK YOU

What is the solution to this equation?

X/5 = 25

A. x = 20
B. x= 125
C. x = 5
D. x= 30

Answers

Answer:

A. x=20

Step-by-step explanation:

For the equation y=5x+4, determine the value of y when x=−1.

Answers

Step-by-step explanation:

y = 5x + 4, x = -1

y = 5(-1) + 4

y = -5 + 4

y = -1

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced?* O 15% O 25% O 75% 40% M​

Answers

Answer:

25

Step-by-step explanation:

The new price, $45, can be expressed as a percentage of $60 by taking it as a fraction of $60, converting to a decimal value, and multiplying by 100%. $45/$60=3/4=0.75, 0.75x100%=75%. So since 100%-75%=25%, the value was reduced by 25%.

Two equations are shown:
• Equation 1: 3/4(x– 12) = 12
Equation 2: 3/4y - 12 = 12
.
Solve each equation. Then, enter a number in each box to make this statement true.
The value of x is:
The value of y is:

Answers

Answer:

The value of x is: 28

The value of y is: 32

Step-by-step explanation:

Let us solve the question

[tex]\frac{3}{4}[/tex] (x - 12) = 12 ⇒ (1)

→ Multiply each term in the bracket by [tex]\frac{3}{4}[/tex]

∴  [tex]\frac{3}{4}[/tex] (x) -  [tex]\frac{3}{4}[/tex] (12) = 12

∴  [tex]\frac{3}{4}[/tex] x - 9 = 12

→ Add 9 to each side

∵  [tex]\frac{3}{4}[/tex] x - 9 + 9 = 12 + 9

∴  [tex]\frac{3}{4}[/tex] x = 21

→ Divide both sides by  [tex]\frac{3}{4}[/tex]  to find x

x = 28

[tex]\frac{3}{4}[/tex] y - 12 = 12 ⇒ (2)

→ Add 12 to both sides

∴  [tex]\frac{3}{4}[/tex] y - 12 + 12 = 12 + 12

∴  [tex]\frac{3}{4}[/tex] y = 24

→ Divide both sides by  [tex]\frac{3}{4}[/tex] to find y

y = 32

How many 1/2 cup servings are in a casserole that contains 5 1/4 cups?
Help
Pppppp

Answers

There are 10 in total but there is 10 and 1/4 total if it has that as a answer

Find three consecutive integers such that twice the smallest is 12 more than the largest.

Show work!!!

Please anyone do this and put the right answer and show work I WILL MARK BRAINLIEST!!,

Answers

Answer:

14, 15, 16

Step-by-step explanation:

Let integers equal:

x, x + 1, x + 2

2x = 12 + (x + 2)

2x = 12 + x + 2

2x = 14 + x

2x - x = 14

x = 14

x = 14

x + 1 = 14 + 1 = 15

x + 2 = 14 + 2 = 16

What operation(s) would you perform on the longer leg (across from the 60 degree angle) of a 30-60-90 triangle to get the length of the hypotenuse?

Answers

9514 1404 393

Answer:

  multiply by 2/√3

Step-by-step explanation:

The ratio of the hypotenuse to the longer leg is 2/√3. The hypotenuse can be found by multiplying the length of the longer leg by 2/√3.

Solve stems by elimination
-3x+2y=-14
-9x+6y=-18

Answers

Answer:

I am getting no solution. Are there any answers that go with the problem?

I NEED HELP FAST!!!!!!!!!!!!

Answers

Answer:

y=-3/4x-3

Step-by-step explanation:

y=mx+b

find the y intercept=b

y=mx-3

find the slope

y=-3/4x-3

Find the measure of each angle indicated. Round to the nearest whole degree.

Answers

D. 48 degrees
on calculator: 2ND SIN (72/97) = about 47.92

Cube-shaped shipping boxes, like the one shown, are packed into a van. They form a solid without gaps or overlaps that is 3 feet long, 2 feet wide, and 3 feet tall. What is the volume of the solid formed?

Answers

Answer: 18 feet

Step-by-step explanation:

You didn't put the picture but based on your question, the volume would be calculated by multiplying the length by the width and the height. This would be:

= Length × Width × Height

= 3 × 2 × 3

= 18 feet

Mr d bought 24 boxes of pizza. She gave 18 boxes of pizza to Mr.Cruz. What is the percentage of pizza mr. D has left.

Answers

Answer:

25%

Step-by-step explanation:

She has 24 pizza which we will represent as 100%

24 = 100%

/8

3 = 12.5%

Now we need to find out how many percent 18 pizza represent

18 / 3 = 6

6 x 12.5 = 75

Now, we know that Mr. D gives away 75% which means that they are left with 25% (100-75)

Perform the indicated operation and reduce the answer to
lowest term.
33a^2/5 x 20/11a^3

Answers

Answer;

12/a

Step-by-step explanation:

Here, we want to reduce the given expression to the lowest term

We have this as;

33/5 * 20/11 * a^2/a^3

= 33/11 * 20/5 * a^2/a^3

= 3 * 4 * 1/a

= 12/a

simplify the expression IabI if a>0 and b>0

Answers

Answer:

Step-by-step explanation:

The "ab" inside absolute value has to go out positive, such as |-2|=2

Since both the a and b values are positive, the value of |ab| should be "ab"

For example:

a=2

b=3

|ab| = |2*3| = |6| = 6

What is the distance between the two points?
20
40
45
58

Answers

Answer:

your question Is not in Mark

What is the question


..........................

Answers

Answer:

82.96

Step-by-step explanation:

area of box:

A = L^2 = (14 in.)^2 = 196 in.^2

area of pizza:

A = (pi)r^2 = 3.14 * (6 in.)^2 = 113.04 in.^2

Empty area:

196 in.^2 - 113.04 in.^2 = 82.96 in.^2

Help plz ! Find the slope of the line

Answers

Answer:

-2/1

Step-by-step explanation:

Use the diagram of ABCD to find m

Answers

Answer:

51 degrees

Step-by-step explanation:

Using the corresponding angle theorem we get that 129 + m = 180. m = 180-129=51

Find the value of x in the given
right triangle.
Х
370
10
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

8.0

Step-by-step explanation:

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 37 = x/10

x = 10cos 37

x = 7.99

The vale to the nearest tenth is 8.0

Solve for x. 8x + 1 = 5x + 22​

Answers

Answer:

Step-by-step explanation:

8x + 1 = 5x + 22

8x - 5x + 1 = 5x- 5x + 22

3x + 1 = 22

3x + 1 - 1 = 22 - 1

3x = 21

x = 7

What's the slope of the equation y=-3/5x+4?

Answers

Answer:

the slope is 3/5

Step-by-step explanation:

and if you want the y intercept it's 4

Answer:

Use the slope-intercept form  

y = m x +b

to find the slope m

m=3/5

Step-by-step explanation:

PLS HURRY. I HAVE A ZOOM CLASS SOON! Stan sells mangoes in boxes of 10. One day he sells 5 boxes of mangoes in the morning and 12 boxes of mangoes in the evening. Create an expression that can be used to determine how many more mangoes Stan sold in the evening than in the morning.

Answers

Answer: 12x (5x6)

Step-by-step explanation:

70 more⬅

if there is 10 mangoes in each box then

5x10=50

12x10=120

⬆(120÷12=10)

120-50=70

4a2∙3a5 = (4 + 3)a2+5 = 7a7

Answers

Answer: its false

Step-by-step explanation:

Answer:

a=5/7

Step-by-step explanation:

1. Calculate 5=(4+3)a ----  5=7a

2. 5=7a --- 7a=5

3. Dvidie both sides 7a=5--- a=5/7

what's the correct answer?​

Answers

Answer:

none

Step-by-step explanation:

did this test already

Please help!!
I need it

Answers

Answer:

4th

Step-by-step explanation:

make me as branalist

A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of people who will respond favorably to the survey?

Answers

Answer:

5,850 - 6,150/ 5,850≤x≤6,150

Step-by-step explanation:

All we really need to see here is what is 2.5% of 6,000, that is 150,

Now, we just add/ subtract that from 6,000 to get our range

5,850 - 6,150/ 5,850≤x≤6,150  

Answer:

Answer:

5,850 - 6,150/ 5,850≤x≤6,150

Step-by-step explanation:

All we really need to see here is what is 2.5% of 6,000, that is 150,

Now, we just add/ subtract that from 6,000 to get our range

5,850 - 6,150/ 5,850≤x≤6,150  

Step-by-step explanation:

Write 17% as a fraction in its simplest form.

Answers

Answer:How to Write 0.17 or 17% as a Fraction?

Decimal Fraction Percentage

0.2 20/100 20%

0.19 19/100 19%

0.18 18/100 18%

0.17 17/100 17%

Step-by-step explanation:

The percentage value ( 17 % ) as a fraction is A = 17/100

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the percentage value be represented as A

Now , the value of A = 17 %

And , percent" means "per hundred".

So, 17% means 17 per hundred, or 17/100

Hence , the fraction is A = 17/100

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