Which equation represents the formula for the general term, gn , of the geometric sequence 3 , 1 , 1/3 , 1/9 . . .?

Answers

Answer 1

Answer:

Explicit

gn = 3(1/3)^(n-1)

Recursive

gn =1/3gn-1

Step-by-step explanation:

3 , 1 , 1/3 , 1/9 . . .

gn = ar^(n-1)

Where,

a = first term = 3

r = common ratio = 1/3

Check:

g2 = ar^(n-1)

= 3(1/3)^(2-1)

= 3/3^(1)

= 1^1

= 1

The explicit formula is

gn = ar^(n-1)

gn = 3(1/3)^(n-1)

The recursive form for a geometric sequence is gn = rgn-1

recursive form for our sequence gn =1/3gn-1

Where,

gn = 3


Related Questions

theres $10.30 and the discount is 25% how much will he save

Answers

Answer:

2.58 saved

Step-by-step explanation:

To find the discount, take the amount and multiply the discount percent

10.30 * 25%

10.30 *.25

2.575

Round to the nearest cent

2.58

Answer:

Step-by-step explanation:

2.58 saved

Simplify: 4x(x² - 3x + 1)

Answers

Answer:

[tex]4x\left(x^2-3x+1\right)[/tex]

[tex]Distribute\:parentheses[/tex]

[tex]=4xx^2+4x\left(-3x\right)+4x\cdot \:1[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]+\left(-a\right)=-a[/tex][tex]=4x^2x-4\cdot \:3xx+4\cdot \:1\cdot \:x[/tex]

[tex]Simplify[/tex]

[tex]=4x^3-12x^2+4x[/tex]----------------------------hope it helps...have a great day!!

Solve for x and show work

Answers

Answer:

Hi,

These are corresponding angles. Corresponding angles are congruent. So the equation would be 100=x+106. Do you think you can solve that? If you can't let me know and I will do it for you?

Step-by-step explanation:

please help me solve
please show how you got the answer

Answers

Answer:

Step-by-step explanation:

New questions in Mathematics

In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side

Pls help this is due at 8 !!!!!!

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what is the estimate product of 345 and 34? [tex] \\ [/tex] ​

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Tn=2n-5 write down four term in a sequence

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Find the value of angle n

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Find the value of angle y

What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi

Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.

Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a

Please help me asap!​

what is lcm of 15 and 143​

The triangle inequality

Answers

The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped

SUPER URGENT: Find cscθ.

Answers

Answer: -5/4

Step-by-step explanation: Cosecant is hypotenuse divided by the opposite side. The hypotenuse is 5 units, while the opposite side is 4 units. The answer has to be negative because the opposite side is below y=0.

which inequality best represents the graph?

Answers

Answer:

A   y ≥ (1/2)x + 5

Step-by-step explanation:

The shaded area is above the solid line

the correct symbol is


find the measure of the exter angle.

Answers

180-153 = 27 degrees

I think this should be the answer but I’m not so sure so good luck!!

What is the smallest 6 digit palindrome that can be divided by 99?

Answers

Answer: 54945

Smallest 5 digit number,which is also a palindrome and divisible by 99 is 54945

I need help please! 45 points :)

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 1 unit.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area\:of\:the\:circle\:is\:3.14\:units².}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr² }[/tex]

[tex]=\:3.14 \times 1 \times 1 \: \: {units}^{2} \\ \\ = 3.14 \: \: {units}^{2} [/tex]

Therefore, the area of the circle is 3.14 units².

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Select the correct answer.
What is the value of g(2)
10.
13 – 9x2 + 27r - 25,1 > 2
gix)
A. 2
D
B.
OC.
-1
D. 1
How do you do this

Answers

Answer:

D=1

Step-by-step explanation:

g(x)=x³-9x²+27x-25

g(2)=(2)³-9(2)²+27(2)-25

=8-36+54-25

=1

PLEASE HELPP MEEE ASAPPPPP

Answers

Answer:

D) 24,32,40

Step-by-step explanation:

Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024.  24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.

1,600 = 576 + 1024.

Note:

Pls notify me if my answer is incorrect, for the other users that will see this message.

-kiniwih426

I was thinking the answer was three but I’m not entirely sure help pls?

Answers

Answer:

3

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

can someone pls help for brainlest

Answers

Its C, he has 42 in total and needs 49 49-42=7. I can’t really see the last option well tho.

Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5. 2 Find the area of the sector if the radius is 8cm show your work below 2 2 Show your work below. You have responded to 0 of 7 questions. Question Details Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5.

Answers

Answer:

[tex](a)\ (x+6)^2 + (y-5)^2 = 25[/tex]

[tex](b)\ Area = 16.75cm^2[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex](a,b) = (-6,5)[/tex]

[tex]r = 5[/tex]

Required

The equation of the circle

This is calculated as:

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

So, we have:

[tex](x--6)^2 + (y-5)^2 = 5^2[/tex]

[tex](x+6)^2 + (y-5)^2 = 25[/tex]

Solving (b):

Given

[tex]r = 8cm[/tex]

[tex]\theta = 30^o[/tex] --- Missing from the question

Required

The area of the sector

This is calculated using:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{30}{360} * 3.14 * 8^2[/tex]

[tex]Area = \frac{1}{12} * 200.96[/tex]

[tex]Area = 16.75cm^2[/tex]

Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3

Answers

Answer:

B. 5070π in³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = π(13 in)²(30 in)Evaluate exponents:                                                                                         V = π(169 in²)(30 in)Multiply:                                                                                                             V = 5070π in³

Answer:

[tex]\large\fbox{B. 5070 π inches³}[/tex]

Step-by-step explanation:

We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-

The Volume of cylinder

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

r is the radius of cylinderh is the height of cylinderSolution :-

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

Please Help ASAP!! Due today!!

Answers

Answer:

-4 equals p=2 and a and R are at point Y downwards.

Una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000. La empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días. Si la tasa de interés es del 24% anual, ¿cuál oferta le conviene aceptar

Answers

Answer:

La oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.

Step-by-step explanation:

Dado que una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000, y la empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; y c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días, si la tasa de interés es del 24% anual, para determinar cuál oferta le conviene aceptar se debe realizar el siguiente cálculo:

90 días = 1/4 año

30 días = 1/12 año

84 días = 23/100 año

365 = 1

85 = X

84 / 365 = 0.23

A) 5,000 + (5,000 x 1.06) = 5,000 + 5,300 = 10,300

B) 3,000 + (3,000 x 1.02) + (4,000 x 1.06) = 3,000 + 3,060 + 4,240 = 10,300

C) 2,000 + (4,000 x 1.02) + (4,000 x 1.023) = 2,000 + 4,080 + 4,092 = 10,172

Por lo tanto, la oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.

Write the following equation in slope y-intercept form and identity m and b.
x + 2y – 4 = 0

Answers

Answer:

Below:

Step-by-step explanation:

y = -0.5x + 2

m = -0.5

b = 2

What is the inverse of the function g(x) = 1/2x + 1/2?

Answers

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .

Replace f(x)f(x) with yy.

y=12xy=12x

Interchange the variables.

x=12yx=12y

Solve for yy.

Rewrite the equation as 12y=x12y=x.

12y=x12y=x

Multiply both sides of the equation by 22.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Simplify 2⋅12⋅y2⋅12⋅y.

Cancel the common factor of 22.

Cancel the common factor.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Rewrite the expression.

1⋅y=2⋅x1⋅y=2⋅x

Multiply yy by 11.

y=2⋅xy=2⋅x

Solve for yy and replace with f−1(x)f-1(x).

Replace the yy with f−1(x)f-1(x) to show the final answer.

f−1(x)=2xf-1(x)=2x

Set up the composite result function.

g(f(x))

Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring?

Answers

Area= pie times the radius squared
The radius= half the diameter
The radius= 3.5/2 (1.75)
Pie times 1.75 squared= 9.62
Answer: 9.62

Lee y contesta santiago quiere comer la mitad de un pastel y alba quiere un tercio del mismo pastel para repartirlo bien reducen las fracciones a comun denominador ¿en cuantas partes iguales deben dividir el pastel? ¿cuantas partes debe tomar cada uno?

Answers

Answer:

El pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.

Step-by-step explanation:

Dado que Santiago quiere comer la mitad de un pastel y Alba quiere un tercio del mismo pastel, para repartirlo bien se deben reducir las fracciones a su común denominador. Así, para determinar en cuántas partes iguales deben dividir el pastel y cuántas partes debe tomar cada uno se deben realizar los siguientes cálculos:

Santiago = 1/2

Alba = 1/3

2 x 3 = 6

Santiago = 1/2 = 3/6

Alba = 1/3 = 2/6

Por lo tanto, el pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.

If f(x) = 28+x + 7, what is the value of f(-9), to the nearest
hundredth (if necessary)?

Answers

Answer:

26

Step-by-step explanation:

Problem: f(x) = 28 + x + 7

Plug in f(-9)

New equation: f(-9) = 28 + (-9) + 7

Simplify: f(-9) = 26

Answer: f(-9) = 26

^^^^ the man above me got it’s or under

please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?

Answers

Answer:

x² - 9x + 20

You are correct.

None of the listed choices are correct.

-----------------------------

I think the question originally had 5 and -4 as the solutions

https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf

x = {-4, 5}

(x + 4)(x - 5) = 0

x² - 5x + 4x - 20 = 0

x² - x - 20 = 0     Answer E

Step-by-step explanation:

x = {4, 5}

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

y = x² - 5x - 4x + 20

y = x² - 9x + 20

Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.

Answers

Answer:

Y = -1x - 1

Step-by-step explanation:

I used desmos graphing calculator and tried until I got a line that worked.  It passes through (2, -3) and has a slope of -1

Hope this helped :)

Find the equation of the straight line passing through the point (-1,2) which is perpendicular to the line y=x+4

Answers

The answer is y = -x + 3

What is the equation of the line

Answers

The answer is

The equation for this line is (0,4)

3, 6, 12,
The common ratio is

Answers

Answer:

The common ratio is 2.

Step-by-step explanation:

3 : 6 : 12

1 : 2 : 4

Name the three similar triangles correspondingly. Start with the original right triangle LMK, then the remaining two right triangles created by the altitude MN.

Answers

Answer:

Step-by-step explanation:

Answer:△LMK △MNK △LNM

im pretty sure thats it

make q subject in formula
t=q/2 + 5

Answers

Answer:

[tex] q = 2(t - 5) [/tex]

Step-by-step explanation:

[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]

hope this helps you.

Have a nice day!

Answer:

2 ( t - 5 ) = q

Step-by-step explanation:

t = q/2 + 5

subtract 5 from both side

t - 5 = q / 2 + 5 - 5t - 5 = q / 2

multiply each side by 2.

2 × ( t - 5 ) = q / 2 × 22 ( t - 5 ) = q
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