Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1

Answers

Answer 1

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2


Related Questions

The angle of elevation to a nearby tree from a point on the ground is measured to be
73°. How tall is the tree if the point on the ground is 28 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.

Answers

Answer:91.6

Step-by-step explanation:

The height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.

The angle of elevation is given 73°. The distance between the point on the ground and the tree is 28 feet.

What is a trigonometric function?

In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.

sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.

We know that tan Ф = perpendicular / Base

tan 73° = h / 28

tan 73° × 28 = h

3.27 × 28 =h

h = 91.5 ft

Therefore, the height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.

Learn more about a trigonometric function;

brainly.com/question/6904750

Sasha practices piano for 45 minutes, 6 days a week. How many minutes does Sasha practice in a week? Use an area model to solve.

Answers

Answer:

270

Step-by-step explanation:

Because i multiple 45 by 6

Determine whether each quadrilateral is a parallelogram. Justify your answer.

Answers

Answer:

1. Parallelogram2. Parallelogram3. Parallelogram

Step-by-step explanation:

I am un-sure of the answers. I apologize if this is incorrect.

Hoped this helped.

Can anyone please answer number 6.

Answers

Answer:

Step-by-step explanation:

Exact Form:

2

2

+

3

5

2

2

2

+

3

5

-

2

Decimal Form:

7.53663105

Answer:

28

Step-by-step explanation:

2(√2+3)² -3(√2+3*√2-2)

expand collect like terms

2(2+6√2+9)-3(4√2-2)

2(2+6√2+9)-3(4√2-2)

calculate remove parentheses

2(11+6√2)-12√2+6

remove parentheses

22+12√2-12√2+6

remove opposite and calculate

solution= *28*

was this helpful???!

Find the y-intercept of the line represented by 2x-3x=6

Answers

Answer:

There is no y intercept

Step-by-step explanation:

The x intercept is 6

I hope this helps!

[tex]Subtract[/tex] [tex]3x[/tex] [tex]from[/tex] [tex]2x[/tex]

[tex]=-x+6[/tex]

(5j - 2q + 2/5) - (4 - 3j - 1/2q)

Answers

Answer:

8j - [tex]\frac{3q}{2}[/tex] - [tex]\frac{18}{5}[/tex]

Step-by-step explanation:

hope this helps! :D

A jet travels 590 miles in 5 hours at this rate how far could the jet fly in 10 hours

Answers

Answer:

1180 miles

Step-by-step explanation:

590 x 2. If 590 miles in 5 hours then in ten it would be double. 590x2=1180.

So 1180 miles

Hope this helps

Find the sum in SIMPLEST form:

3/10+1/10=

A 4/20
B 2/5
C 4/10
D 1/5

Answers

Answer:

B. 2/5

Step-by-step explanation:

I hope this helps!

Answer:

B 2/5

Step-by-step explanation:

can someone help me with this answer plsss

Answers

Answer: 44 ft

Step-by-step explanation:

if you add up the right square it adds up to 16 4+4+4+4 all sides are equal since its a square.

The left rectangle is

8+8=16

6+6=12

16+12=28

Now you add the square on the right to the square on the left which is

28+16= 44 ft

The oblique prism below has an isosceles right triangle base.

An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2).

What expression represents the volume of the prism, in cubic units?

One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2

Answers

The volume of the prism, in cubic units is 1/2x³ + x²

The volume of the oblique prism is given as:

V = Base area * Height

Given the following

Height = x + 2Base area = area of the triangle

Base area = 1/2 (x*x)

Base area = 1/2 x²

Get the volume of the prism;

Volume of the prism = 1/2(x²)(x+2)

Volume of the prism = 1/2(x³+2x²)

Volume of the prism = 1/2x³ + 1/2(2x²)

Volume of the prism = 1/2x³ + x²

Hence the volume of the prism, in cubic units is 1/2x³ + x²

Learn more on the volume of prism here: https://brainly.com/question/23963432

Answer:

1/2x³ + x²

Step-by-step explanation:

edg

Is Helena correct? If so, explain how she can tell that the diagram represents if she is not correct,
explain why not

Answers

Answer:

yes it she is

Step-by-step explanation:

Use your scientific calculator to calculate the value of the following:3.5934×4.294Give your answer in decimal form and write all the digits on your calculator display.

Answers

Answer:

15.4300596

Step-by-step explanation:

On a snow day, Claire created two snowmen in her backyard. Snowman A was built to a height of 29 inches and Snowman B was built to a height of 54 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 3 inches per hour and Snowman B's height decreased by 8 inches per hour. Let
A
A represent the height of Snowman A
t
t hours after sunrise and let
B
B represent the height of Snowman B
t
t hours after sunrise. Write an equation for each situation, in terms of
t
,
t, and determine the number of hours after sunrise when both snowmen have an equal height.

Answers

Answer:

29 - 3t = 54 - 8t

-29 -29

-3t = 25 - 8t

+8t +8t

5t = 25

/5 /5

t = 5

The snowmen will have an equal height after 5 hours.

PLS ANSWER QUICK THX

Answers

Answer:

(1,49) (4,109)

109-49/4-1=60/3=20

49=20×1+b

29=b

f(c)=20h+29

solve the system of equations

y =2x -9

y = x - 4

Answers

y=2x-9
y=x-4

x-4=2x-9

+9 each side=

x+5=2x

-x each side=

5=x

flip for the final answer of x=5

I need help please and explain your answer it’s number 4

Answers

Answer:

29

Step-by-step explanation:

Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression

3 * 4^2 - 7 * 4 + 9

3 * 16 - 28 + 9

= 29

Write the equation of a line that goes through the points (-5,6) and (10,-6). The final answer should be in Slope Intercept Form.

Answers

Answer:

y=-4/5x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-6)/(10-(-5))

m=-12/(10+5)

m=-12/15

simplify

m=-4/5

y-y1=m(x-x1)

y-6=-4/5(x-(-5))

y-6=-4/5(x+5)

y=-4/5x-20/5+6

y=-4/5x-4+6

y=-4/5x+2

9.43
9.43
15
15
16
© 2018 StrongMind. Created using GeoGebra.
What is the area, in square units of the composite figure?
Enter your answer as a number, like this: 42

Answers

Answer:

280

Step-by-step explanation:

first, find the area of the triangle

formula: 1/2 (base × height)

so the area of the triangle is

= 1/2 (16×5)

= 1/2 (80)

= 40

then, find the area of the rectangle

formula: length × breadth

the area of the rectangle is

= 15 × 16

= 240

the area of the composite figure is the sum of the areas of the triangle and rectangle

= 40 + 240

= 280

please answer thisss​

Answers

Answer:

ask assistance from someone close to you,it's a practical question.

Solve the equation for x.
2(2) + x = 4

Answers

[tex]2(2) +x =4\\\\\implies 4 +x =4\\\\\implies 4 +x -4 = 4-4\\\\\implies x = 0[/tex]

Answer:

x = 0

Solve solution:

Question:

2(2) + x = 4

Multiply:

2 x 2 + x 4

Cancel equal terms:

4 + x = 4

Answer: x = 0

1 point
15.) Vincent pays $202 in advance on his account at the health spa. Each
time he uses the spa, $6 is deducted from the account. Write an equation
that represents the value remaining in his account after x visits to the spa.
Find the value remaining in the account after 18 visits. *
O V = 6 - 202x; $94
O V = 6 - 202x; $1,216
O V = 202 - 6x; $94
O V = 202 - 6x; $1,230

Answers

Answer:

O V=202-6x; $94

Step-by-step explanation:

202 needs to be placed before the 6, eliminating options 1 and 2. It can't be option 4 because thats more than 202, leaving us with option 3. Check you answer by replacing x with 18. O V=202-6(18) ->O V=202-108 -> 202-108=$94.

Anyone Can you please check the already done one, and the rest I just need help!!! please:

Answers

Answer:

yes your math seems about right but wait for someone else to respond also because im not completely sure

Step-by-step explanation:

Morgan bought candy for $.95, an eraser for $.15, and 2 pencils for $.40 each. (a) how much did the pencils cost? (b) how much did she spend in all? (c) how much change did she get from $5.00

Answers

Answer:

Step-by-step explanation:

A

1 pencil costs 0.40 dollars.

1 pencils cost 2 times 0.40 = .80 dollars

B

Candy     0.95

eraser     0.15

2 pencils 0.80

Total        1.90                                          Add  

C

She started with   5.00 dollars

She spent             1.90 dollars               Subtract

Here change was  3.10 dollars.

what is the perimeter of 4in. 4in.

Answers

Perimeter = 4 × side

[tex] = 4 \times 4 \\ = 16in[/tex]

The perimeter of a 4-inch square is 16 inches.

Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?

Answers

about 13 pages i believe

BRAINLIEST
Please answer these

Answers

3.14 is used for pi.

6.  r = [tex]\sqrt{\frac{A}{\pi } }[/tex]

14.00

7. d = [tex]\frac{c}{\pi }[/tex]

5.00

8. d = [tex]2 \sqrt{\frac{A}{\pi } }[/tex]

23.01

9. r = [tex]\frac{c}{2\pi }[/tex]

20.01

10. d[tex]\pi[/tex] = [tex]2 \sqrt{{A}[/tex]

31[tex]\pi[/tex]

11. r[tex]\pi[/tex] = [tex]\frac{c}{2}[/tex]

22.5[tex]\pi[/tex]

Hope this helps :)

Answer:

12. 95.03

13. 52π mm or 52 mm

14. 119.38 meters

15. 227 in²

Note: (make sure to double check all of these because it never hurts to).

The expression 3.5d + 5 represents the number of miles Erin ran last week when she ran 5 miles on sunday and 3.5 miles each day after Sunday. The expression 2.5d+ 3 represents the number of miles Luis ran last week when he ran 3 miles on Sunday and 2.5 each day after Sunday what expression can be used to determine the total amount erin and Luis ran last week

Answers

Answer: 14 miles

Step-by-step explanation: 3.5d+5+2.5d+3

Don’t understand this anyone help I will give Brainyest thing

Answers

Answer:

  11.8 meters

Step-by-step explanation:

The triangle drawn is a right triangle. Two of its side lengths are given. The Pythagorean theorem tells you how those relate to the third side.

The sum of the squares of the legs of the triangle is equal to the square of it hypotenuse.

  (?)² + 34² = 36²

  (?)² + 1156 = 1296 . . . evaluate the squares

  (?)² = 140 . . . . . . . . . . subtract 1156 from both sides

  (?) = √140 . . . . . . . . . take the square root

  (?) ≈ 11.8 . . . meters

The length of the shadow is about 11.8 meters.

Alice bought 4 apples and 8 bananas for $4. Betty bought 6 apples and 10 bananas for $5.50
each fruit cost?

Answers

Answer:

Apples cost 50 cents and bananas 25 cents.

please mark brainliest if this helped

Step-by-step explanation:

1) Assign variable (x,y) to apples and bananas.

x=apples

y=bananas

2) Write system of equations for Alice and Betty.

Alice: 4x+8y=4

Betty: 6x+10y=5.5

3) Use substitution, elimination, or graphing to solve for x and y.

x=0.5

y=0.25

Please help me asapppp

ty :)

Answers

Answer:

x-intercept: -3 y-intercept: 3

Step-by-step explanation:

Substitute 0 for both variables.

-(0)=3

(0)=3

Answer:

x intercept: [tex](-3,0)[/tex] y-intecept: [tex](0,3)[/tex]

Step-by-step explanation:

So their is two ways to do this.  

OPTION 1:

Turn the standern form into slope intercept.

[tex]-x+y=3[/tex]

[tex]y=3+x[/tex]

When [tex]y=0, x=-3[/tex]

Therefore, the y-intercept is 3, and the x-intercept is -3

OPTION 2:

Graph the eqaution, and see where it intercepts

Using desmos, you can graph the equation, then see where it intercepts

It intercepts the x-axis at -3, and the y-axis at 3

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