H(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}h(n)=−91⋅(− 7 1 ​ ) n−1 h, left parenthesis, n, right parenthesis, equals, minus, 91, dot, left parenthesis, minus, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.

Answers

Answer 1

Given:

[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]

To find:

The recursive formula.

Solution:

We have,

[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]

It is in the form of explicate formula of a GP, .i.e., [tex]a_n=ar^{n-1}[/tex].

Here, [tex]a=-91[/tex] and [tex]r=-\dfrac{1}{7}[/tex].

The recursive formula of a GP is

[tex]a_n=a_{n-1}\times r[/tex]

Using this the recursive formula for given problem is

[tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex]

Therefore, the required recursive formula is [tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex].


Related Questions

write the slope intercept form of the equation of each line

Answers

slope intercept form is y=mx+b :)

Answer:

7) y= -2x + 2

8) y= -2x + 1

Step-by-step explanation:

enter the value of 5/6+-(4/9)- (-2)

Answers

Exact form:43/18
Mixed numbers form:2 7/18


what is an discriminant ​

Answers

Answer:

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

Triangle ABC has side lengths 8 cm, 17 cm, and x cm. The side length of x is shorter than the longest side. What does the value of x need to be in order for the triangle to be considered a right triangle?

Answers

Answer:

8 cm and 15 cm

The measure of the side is 15 cm

The measure of the right angle triangle is 8 cm, 15 cm and 17 cm

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle BC = 8 cm

The height of the triangle be AB = x cm

The hypotenuse of the triangle AC = 17 cm

So , for the triangle to be a right angle triangle ,

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

So , AB² = AC² - BC²

On simplifying the equation , we get

AB² = 17² - 8²

AB² = 289 - 64

AB² = 225

Taking square roots on both sides of the equation , we get

AB = 15 cm

Therefore , the value of x is 15 cm

Hence , The measure of the side is 15 cm

The measure of the right angle triangle is 8 cm, 15 cm and 17 cm

To learn more about triangle click :

https://brainly.com/question/16739377

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Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 grams in the other pan, the pans balance each other. Which equation can be used to find the weight of each steel ball?

A.8=26x
B.8x=120x
C.8x+20+=6x
D.8x=6x+20

Answers

The answer is D. 8x=6x+20

What value completes the square for the expression x²+8x+_

Answers

i think the answer is (x+4)2 -16 ..

What is an equation of the line that passes through the points (-6, -7) and
(6,3)? Put your answer in fully reduced form.

Answers

Answer: y = 5/6x - 2

Step-by-step explanation:

Y =mx + b

Step 1 find slope also known as m:

Y2 - y1 / x2 - x1

3-(-7)/6-(-6) = 10/12 can be reduced to 5/6

Step 2 find b:

3 = 5/6 (6) + b

3 = 30/6 + b

3 = 5 + b

-5 - 5

-2 = b

Step 3 write equation:

Y = 5/6x - 2

3-2|x+4|+3=1 the answer for this​

Answers

Answer:

x={-3/2,-13/2}

Step-by-step explanation:

3-2|x+4|+3=1

-2|x+4|+6=1

-2|x+4|=-5

|x+4|=5/2

x+4=5/2

x+4=-5/2

x=5/2-4

x=-3/2

x=-5/2-4

x=-13/2

in exercise 4 and 5 find the unkown or marked angles​

Answers

Answer:

Ф = 110°, β = 110°

Step-by-step explanation:

∠Ф and the 110° angle are corresponding angles since the vertical lines are parallel and a horizontal line cut across both lines. Thus Ф = 110°.

∠β and ∠Ф are alternate angles since the horizontal lines are parallel and a vertical line cut across both lines. Thus Ф = 110° and ∠β = 110°.

(ar^(b))^(4)=81r^(24 ) work out a and b

Answers

Answer: a = 3; b = 6

[tex](ar^{b})^{4}=81r^{24}\\\\<=>a^{4}.r^{4b}=3^{4}.r^{24}\\\\\\=>\left \{ {{a=3} \atop {4b=24}} \right.\\\\\\<=>\left \{ {{a=3} \atop {b=6}} \right.[/tex]

Step-by-step explanation:

Multiply 3 3/8 • 4 1/3​

Answers

Answer:

14 5/8

Step-by-step explanation

1) Convert the mixed number to an improper fraction

3 3/8 = 3 x 8 + 3 / 8 = 24 + 3/ 8=  27/8

2) Convert the second mixed number to an improper fraction

4 1/3 = 4 x 3 + 1/ 3 = 12 + 1/3= 13/3

3) Multiply 27/8 x 13/3= 351/24 divided by 3 = 117/8 117/8 as a mixed number is 14 5/8

4) 14 5/8 is the final answer simplified

Answer:

[tex]\frac{117}{8}[/tex] (or [tex]14\frac{5}{8}[/tex] in mixed number form)

Step-by-step explanation:

1) First, convert [tex]3\frac{3}{8}[/tex] and [tex]4\frac{1}{3}[/tex] into improper fractions. (Multiply the denominator by the whole number at the front, then add the numerator. The number that you receive from this would be the new numerator, and the denominator would still be the same.) This would be [tex]\frac{27}{8}[/tex] and [tex]\frac{13}{3}[/tex] respectively.

2) Multiply the two improper fractions. Multiply the numbers of the numerators and denominators together:

[tex]\frac{27}{8}[/tex]·[tex]\frac{13}{3}[/tex]

[tex]\frac{351}{24}[/tex]

3) Simplify the fraction. Find a number that both 351 and 24 can divide evenly into - in this case, it is 3. Divide both 351 and 24 by 3 and receive the final answer:

[tex]\frac{351}{24}[/tex]÷[tex]\frac{3}{3}[/tex]

[tex]\frac{117}{8}[/tex]

If you need it in mixed number form, find what times 8 can get closest to the number 117 without going over it. In this case, it is 14, since 14 times 8 is 112, and 112 is the biggest number closest to 117 that is still under it. 14 would be the whole number at the front Include the remainder, or how far away 112 is from 117, which is 5, at the numerator. The denominator would stay the same. Therefore, the answer in mixed number form is [tex]14\frac{5}{8}[/tex].

16d=10
What’s the answer??
I need it quick plz

Answers

Answer: d = 5/8

Step-by-step explanation:

first, you divide both sides.

16d / 16 = 10 / 16

then, you divide and rewrite.

d = 16/10

then, reduce the fraction.

d = 5/8

Answer:

d=1

Step-by-step explanation:

kfkfkdlsldkfnskkd THAT'S THE ANSWER

Help I’ll give 50 points
12) 4x- y=8
5x+y=1

Answers

12) 4x- y=8

5x+y=1

Correct.

PLEASE HELP ILL GIVE DAM BRAINLESS
The Orlando Solar Bears had a successful season on the ice winning 80% of their games. They won a record of 32 games. How many games are in a season?

Answers

Answer:

lool

Step-by-step explanation:


What is the inequality shown?

Answers

-2 ≤ x < 8 is the answer.

convert to slope intercept form y-4=6(x-3)

Answers

Answer:

y = 6x - 14

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Equality Properties

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

[Point-Slope Form]   y - 4 = 6(x - 3)

Step 2: Rewrite

Find Slope-Intercept Form.

Distribute 6:                    y - 4 = 6x - 18Isolate y:                          y = 6x - 14

the slope of the graph 4 y 4 x

Answers

Answer:

_5-_2-_4 is the answer I hope it helps

Becky and Cathy are sisters . Becky is four year older than Cathy . The following shows how Becky ages y changes as Cathy age is x changes

Answers

Answer:

D. y=x+4

Step-by-step explanation:

The y value in this graph is the x value + 4, such as the points (0,4) and (2,6) that lie on the graph. You can also tell by the y intercept being 4 on the graph and the slope being one.

How much paint does Brielle need to finish her room

Answers

Answer:

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Step-by-step explanation:

As, this question is incomplete, so we will create similar question and complete it. '

Let's suppose Brielle's room has following dimensions:

Length of two walls =  10 ft

Length of other two walls = 12 ft

Height of the room from bottom to ceiling = 10 ft

In order to calculate the amount of paint needed, we need to calculate the surface area of the room to be painted.

So, for that, add all the lengths together and multiply it by height of the room.

SF = (L1 +L2 +L3+ L4) x H

SF = (10 + 10 + 12 + 12) x (10)

SF = 440 sq.ft = Actual footage of the room to be painted.

Now, we have convert this number in gallons to know the amount of paint required to paint Brielle's room. For this, we need to divide our SF to 350 sq.ft per gallon.

Paint Needed = 440 sq.ft / 350 sq.ft per gallon

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

what is another name for proportional relationships?

Answers

Answer:

equivalent  i think

Step-by-step explanation:

Find the equation of the line passing
through the points (2, 1) and (5, 10).
y = [? ]x + ( )

Answers

Hope that kinda helps you.✌︎︎✍︎︎

Solve for y

5y- 10x = 45

Answers

Answer:

y=9 (x=-4.5)

Step-by-step explanation:

you have to split the equation up in order to solve

5y=45

divide by 5 on both sides

y=9

-10x=45

divide by -10

x=-4.5

How would you solve 4n-5<-9n+47 to get the solution?

Answers

Answer:

n<4

Step-by-step explanation:

4n-5<-9n+47

13n<52 |:13

n<4

CAN ANYONE HELP I AM REALLY DESPRATE PLZ PLZ PLZ 7th grade math , THIRD TIME POSTING I WILL GIVE 55 points

Answers

Answer:

in part A the mark up in 140%

Step-by-step explanation:

so in part B  mark up the 25 dollar jacket by 140% that's 35 per jacket

divide 260 by 35 and it's 7.42... something.. so they will have to sell 8 jackets to make at least 260 dollars in total sales

A company purchased equipment for $150,000 by paying $50,000 and signing a $100,000 note payable. The entire $150,000 is reported as a cash outflow in the financing section of the statement of cash flows.

Answers

Answer: False

Step-by-step explanation:

The financing section deals with only the transactions that have to do with equity and debt. The Investing section deals with capital expenditure such as fixed assets and investments in other company securities.

The $50,000 should therefore be recorded in the Investing section as a Cash outflow.

The $100,000 is not a cash transaction but will be recorded in the Notes to the Statement of Cashflows as a Non-Cash transaction for disclosure purposes.

5. Evaluate f(x) = 8x - x4 when f(3)?

HURRY PLEASE

Answers

Answer: look at my picture if you see it, it have the answer

Step-by-step explanation: hope this help you

I need help!!! ITS IMPORTANT ​

Answers

Answer:

Electricity makes work easier.

We do not have to walk to a river to get water or wash our clothes and we can cook foods by switching a button.

Step-by-step explanation:

Answer:

hi how are you fineeeeee

What is the slope of the line NP

Answers

Answer:

The slope of NP is [tex]\frac{-5}{7}[/tex] ⇒ B

Step-by-step explanation:

In any square, every two opposite sides are parallel and every two consecutive sides are perpendicularParallel lines have the same slopeThe product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is [tex]\frac{-1}{m}[/tex] (reciprocal m and change its sign)The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In square MNPR

∵ MN and NP are adjacent sides

MN ⊥ NP

∵ M = (3, 8) and N = (-2, 1)

x1 = 3 and y1 = 8

x2 = -2 and y2 = 1

→ Use the rule of the slope above to find the slope of MN

∴ m(MN) = [tex]\frac{1-8}{-2-3}[/tex]

∴ m(MN) = [tex]\frac{-7}{-5}[/tex]

m(MN) = [tex]\frac{7}{5}[/tex]

∵ MN ⊥ NP

∴ The product of their slopes = -1

→ Reciprocal the slope of MN and change its sign

m(NP) = [tex]\frac{-5}{7}[/tex]

The slope of NP is [tex]\frac{-5}{7}[/tex]

Lillian thinks that 725 - 4x3 is the same as 3.22. Which statement shows that it is
NOT the same?

Answers

Answer:

The correct option is (c).

Step-by-step explanation:

Lillian thinks that 7x⁵ - 4x³ is the same as 3x².

Option (a) :

7x⁵ - 4x³ = 3x²

It is wrong, as we cannot say directly that they are equal.

Option (b):

7x⁵ - 4x³ ≠ 3x²

It is wrong, as we cannot say directly that they are not equal.

Option (c):

7(2)⁵ - 4(2)³ = 3(2)²

LHS,

7(32) -4(8) = 192

RHS, 12

Here, LHS ≠ RHS

It is correct.

Option (d) :

7(2)⁵ × 4(2)³ = 3(2)²

Here, multiplication is done instead of addition. So, it is wrong.

Hence, the correct option is (c).

which number is NOT correctly rounded from 82.927? ​

Answers

Answer:82

Step-by-step explanation:

Answer:

The number in the thousands place uhm there isn't no thousands place so I think it's the hundredths place which is rounded to the nearest 0.01

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