HELP PLEASE!!
Write a recursive rule for an=1/3•4^n-1

A.) an=1/3•an-1
B.) an=4•1/3an-1
C.) an=1/3•4an-1
D.) an=4•an-1

Answers

Answer 1

Answer:

D.) an = 4 * an-1

Step-by-step explanation:

a(n) = (1/3) * 4^(n-1)

a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)

Thus,

a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that

a(n) = 4 * a(n-1).


Related Questions

PLS ANSWER!!

32-2(1+3) squared

Answers

Answer:32-2=30 30+1+3=34 . Ans:34

Step-by-step explanation:

Answer:

32-3(4)

24

24 squared is

576

PLS HELP me!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

The measure of the angle ∠ABC is 108°

Step-by-step explanation:

An isosceles triangle has two equal sides and two equal angles

In this problem

∠BDA=∠BAD= 66° ----> the angles of the base are equals

Find the measure of the vertex angle

∠ABD = 180° - 2×66° = 48° (the sum of the internal angles of a triangle is                                              equal to 180°)

then. Find the measure of the angle  ∠CBD in the equilateral triangle we know that

The measure of the internal angle in a equilateral triangle is 60° so

∠CBD= 60°

Then find the measure of the angle ∠ABC

∠ABC=∠ABD+∠DBC

substitute the values

∠ABC= 48°+60° = 108°

The answer is 108°

The measure of the angle ∠ABC is 108°

Answer:

108 degrees

Step-by-step explanation:

Hi there!

1. Determine the measure of angle DBC

2. Determine the measure of angle ABD

3. Add them to determine the measure of angle ABC

We're given that triangle ABD is isosceles and triangle BCD is equilateral.

Because BCD is an equilateral triangle, all of its interior angles at 60 degrees.

Therefore, the measure of angle DBC is 60 degrees.

Triangle ABD is isosceles, so therefore, angle ADB is also 66 degrees.

The sum of the interior angles of a triangle is 180 degrees. Therefore, the measure of angle ABD is 180-66-66, which is 48 degrees.

To find ABC, add 60 and 48:

60+48 = 108

Therefore, angle ABC measures 108 degrees.

I hope this helps!

help fast pleaseee
NO RANDOMS

Answers

Answer:

44.8

Step-by-step explanation:

Take the second number and subtract the first number

44.4 - (-.4)

Subtracting a negative is like adding

44.4 +.4

44.8

Answer:

[tex]D.44.8[/tex]

Step-by-step explanation:

The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.

- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).

Ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
c:

Answers

Answer:

"uuuuuuh in english"

Step-by-step explanation:

Evaluate the infinite series:
[tex] \displaystyle \large{ \sum_{n = 1}^{ \infty} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1} } }[/tex]
Please show your work too — thanks!​

Answers

9514 1404 393

Answer:

  sum = 1

Step-by-step explanation:

The method of partial sums has you look at sums of various numbers of terms of the series to see if there is a pattern that suggests either divergence or a limit. Here, the partial sums suggest the series sum is 1.

__

In the attachment, we have computed sums of 1 term, 10 terms, 100 terms, and so on up to 10^8 terms. These sums seem to approach the value 1.

Individual terms get small faster than for a harmonic series, which his known not to converge, but more slowly than a quadratic series. Large numbered terms are approximately proportional to n^-(3/2).

_____

You can actually compute the sum exactly, without reference to partial sums. Each term of the sum can be rewritten as ...

  [tex]\dfrac{1}{(n+1)\sqrt{n}+n\sqrt{n+1}}=\dfrac{1}{\sqrt{n(n+1)}(\sqrt{n+1}+\sqrt{n})}\\\\=\dfrac{\sqrt{n+1}-\sqrt{n}}{\sqrt{n(n+1)}}=\dfrac{1}{\sqrt{n}}-\dfrac{1}{\sqrt{n+1}}[/tex]

Then successive terms will cancel the intermediate fractions. So, for example, the sum of the first 3 terms is ...

  (1/√1 -1/√2) +(1/√2 -1/√3) +(1/√3 -1/√4) = 1 -1/√4

This means the given sum will evaluate to ...

  1 -1/√∞ = 1 -0 = 1 . . . sum of the infinite series

Hmingsanga sells a washing machine for Rs 13,500. He loses 20% in the bargain. What was the price at wich he bought it?

Answers

Answer:

10800

Step-by-step explanation:

Answer:

9220 Yan na ang true answer

Kim buys a dress for $65 and some shirts for $15 each. Linda buys some shoes for $50 and some shirts for $20. If the girls spend the same amount of money and get the same number of shirts, how many shirts did they get?

Define a variable:
Write an Equation or Inequality:

Answers

Answer:

5 shirts

Step-by-step explanation:

we can use the problem to get an equation:

65+15x=50+20x

subtract 50 from each side to get:

15+15x=20x

subtract 15x from each side to get:

15=5x

divide each side by 5 to get your answer:

x=5

Apply the distributive property:
-3(x+2) =

Answers

Answer:

-3x-6

Step-by-step explanation:

you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6

Hello skm413002!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Apply the distributive property:

-3(x+2) =

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

By applying the distributive property, we can solve it as....

[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]

Method :-Distributive property.

Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.​​

Answers

Hello haohaoxNienie!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

Refer to the attached picture.

Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.

Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

__________________

Hope it'll help you!

ℓu¢αzz ッ

The additive inverse of a - b is?

Answers

Answer:

its b - a

Step-by-step explanation:

the additive inverse of a − b is −(a − b) which can be simplified to b − a.

HELP ME WITH ANGLES PLEASE>

Answers

x = 33

hope i helped <3

Answer:

x = 33

Step-by-step explanation:

Pls brainliest I knew it because of K12

Multiply. Write the answer in the simplest form.

4/7 x 4 3/8 x 5/6

Answers

Answer:

2 1/12

The answer should be 2 1/12

(Two and one over twelve)

or

(Two and a one twelfth)

Answer:

2.1

Step-by-step explanation:

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

Help ASAP I’ll mark you as brainlister

Answers

your answer is 2x^2+3x+7

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (6,9)² + (5,3)²

x² = 47,61 + 28,09

x² = 75,7

x = 8,7yd

I need help finding the x

Answers

Answer:

the answer is x=11......

What is the equation for the line that is parallel to the x-axis and passes through the point (5, -2)?

Answers

Answer:

y = -2

Step-by-step explanation:

A 3-sided polygon that contains a 90° angle is called:

Question 3 options:

A) Pythagorean theorem
B) hypotenuse
C) right triangle
D) Legs

Answers

Answer:

c right triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A: Method that is used to find either the legs or the hypotenuse of a right triangle.

B: Diagonal line of a right triangle, also used in the Pythagorean Theorem

C: 3-sided shape with a 90-degree angle

D. Lenth and height of a right triangle, used in the Pythagorean Theorem

tan9°. tan27°. tan45°. tan72°. tan81°= 1​

could u plz solve it with clear process

Answers

Correct question:-

Prove that tan9.tan17.tan45.tan73.tan81=1

LHS

[tex]\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81[/tex]

[tex]\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45[/tex]

[tex]\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1[/tex]

[tex]\\ \sf\longmapsto cot81.tan81.cot73.tan73[/tex]

[tex]\\ \sf\longmapsto 1.1[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

I got the rest please answer for last question!

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

see if that's correct? I'm not quite sure

In scientific notation, 670,000,000 + 700,000,000 = ?

Answers

Answer:

1.37 x 10 -9

Step-by-step explanation:

6.7x10^8 + 7x10^8 or 1.37x10^9 if you add them before scientific notation

Determine what type of model best fits the given situation:



A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection

Answers

Answer:

A. none of these

Step-by-step explanation:

It's an absolute value function such as : y = 3*| x-1 |

The coefficient of x in the expansion of (x+3)(x - 1) is

Answers

Answer:

^2+2−3

Step-by-step explanation:

Answer: the coefficient of x in the expansion is 2

Step-by-step explanation:

(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)

which equals x^2 -x +3x -3 which is x^2 +2x -3

the leading coefficient of x^2 1. and the coefficient of x is 2.

Sage needs 2 boards to make a shelf. One board is 260 cm long and the other is 1 1/4 m long. What is the total length of the shelf?

Answers

Answer:

385

Step-by-step explanation:

1 1/4 meters = 125 cm

125+260 = 385

Answer:

sum = 260 + 270  = 535  cm or = 5,35 m

Step-by-step explanation: take 11/4m = 2,75m * 100 = 275 cm

After swimming to a depth of 55 feet below the surface of
the water, a fish swims back up 30 feet. Use a number line
a
to help you create an equation that shows the new location
of the fish in relation to the water's surface.
-80 -70 -60 -50 -40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
A. The equation is -55 +(-30) = -85. The fish is 85 feet below
the water's surface.
O B. The equation is -55+ 30 = -25. The fish is 25 feet below the
water's surface.
C. The equation is -55+ (-30) = -25. The fish is 25 feet below
the water's surface.
D. The equation is -55+ 30 = -85. The fish is 85 feet below the
water's surface.

Answers

Answer:

Your answer to this question is B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.

Step-by-step explanation:

Hope this helps!

Answer:

B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.

Step-by-step explanation:

HOPE IT HEPL!! :D

Que. 19. In the equation x = 2y + 9, if x = 1, than y =​

Answers

Answer: y = -4

Step-by-step explanation:

If x = 1

1 = 2y + 9

1 - 9 = 2y

-8 = 2y

y = -8/2

y = -4

please give me a brainliest answer

Answer:

[tex]y = ( - 4)[/tex]

Step-by-step explanation:

Given that,

[tex]x = 1[/tex]

Question :

[tex]x = 2y + 9[/tex]

You have to find the value of y. So, make the y as the Subject

[tex]x = 2y + 9 \\ x - 9 = 2y \\ \frac{x - 9}{2} = \frac{2y}{2} \\ \frac{x - 9}{2} = y[/tex]

Now replace 1 instead of x

[tex]y = \frac{x - 9}{2} \\ y = \frac{1 - 9}{2} \\ y = \frac{ - 8}{2} \\ y = - 4[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Which fraction is equivalent to 3/10?

Answers

Answer:

[tex]\frac{12}{40\\}[/tex]

Step-by-step explanation:

[tex]\frac{3}{10}[/tex] × [tex]\frac{4}{4} =\frac{12}{40}[/tex]

1200 divided by 95 explanation answer

Answers

Answer:

12.6

Step-by-step explanation:

You would get 12.6315789474 but you round to the nearest tenth.

the answer is 12.6!
you would get 12.6315789 but you round to the nearest tenth.

Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?​

Answers

Answer:

$ 500

Step-by-step explanation:

Básicamente divides 125 entre 2 (para saber el precio de la mensualidad, asumiendo que no hay descuentos) y luego ese resultado lo multiplicamos por 8, ya que es la cantidad de meses que nos interesa pagar (no se hace por 6 porque en ninguna parte dice que ya ha pagado esos 2 meses)

standard deviation of 0.116 minute. The winning car that year, driven by Tammy, finished in 110.49 minutes. Find their respective Z-scores. Who had the more convincing victory?
The mean finish time for a yearly amateur auto race was 185.24 minutes with a standard deviation of 0.397 minute. The winning car, driven by Ron, finished in 183.98 minutes. The previous year's race had a mean finishing time of 110.8 with a
Ron had a finish time with a 2-score of
Tammy had a finish time with a 2-score of
(Round to two decimal places as needed.)
Which driver had a more convincing victory?
O A. Ron had a more convincing victory because of a higher Z-score.
OB. Tammy a more convincing victory because of a lower Z-score.
OC. Tammy a more convincing victory because of a higher Z-score.
OD. Ron had a more convincing victory because of a lower Z-score.

Answers

The answer should be B

find the midpoimt of the line segment between the points (4,-7) and (12, -1)

a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)​

Answers

Answer: a. (8, -4)

Step-by-step explanation:

The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.

Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])

∴ for a line segments with endpoints (4,-7) and (12, -1),

 Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])

                = ( [¹/₂ (16)] , [¹/₂(-8)])

                = (8, -4)  (OPTION A)

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