Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of an=5an-1 for which the first term is 23?

Which Of The Following Is The Explicit Rule For A Geometric Sequence Defined By A Recursive Formula Of

Answers

Answer 1

Answer:

D

Step-by-step explanation:

The explicit rule for a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 23 and from the recursive formula

[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] , then r = 5 , thus explicit formula is

[tex]a_{n}[/tex] = 23 × [tex]5^{n-1}[/tex] → D

Answer 2

The correct option is D.

The calculation is as follows:

The explicit rule for a geometric sequence is

[tex]an = ar^{n-1}[/tex]

Here

a represents the first term

r represents the common ratio

So,

[tex]a_n = 5a_{n-1}[/tex]

So,

[tex]a_n = 23\times 5^{n-1}[/tex]

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Related Questions

Hello, this is the owner sister, but can you please help me?b Please dont remove this for silly things

Answers

The answer is 825

*Substituted formula is*
30 x (10 + 15) + 5 x 5/2 x 2 + 5 x (30 -(5 x 2)

AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с

Answers

Answer:

AC ≈ 2.18 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )

AC × tan70° = 6 ( divide both sides by tan70° )

AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )

someone plz help me!

Answers

answer

d is the answer to the question

PLEASE HELP THIS IS URGENT I AM BEING TIMED!!


Given the following list of data, is 9 the mean, the median, or the mode?
2, 7, 9, 8, 9, 4, 6

Answers

Answer:

The mode (number with the highest frequency or number with most appearance)

Answer:

Mode

Step-by-step explanation:

The number that occurs the most is 9.

I'm so sorry but I forgot and some of my notes are at school ( don't mind the yellow/orange high light )

Answers

Answer:

its a scalene triangle

Step-by-step explanation:

Pointssss
Emma purchased a refrigerator for $1,450. It depreciates about 0.8% each year. What is the
value of the refrigerator after five years?

Answers

Answer:

This might be the answer not sure

Step-by-step explanation:

if it goes down 0.8 % every year it would be 1392

this is what I did 1,450−0.8%−0.8%−0.8%−0.8%

−0.8% I did -0.8% for every year i did 5 times for 5 years

so that the value but if u want the really accurate one then the answer is 1,392.9206056485 i hate myself for doing that but yeah thats it

Round 100.9052 to the nearest 10th

Answers

Answer:

100.9

Step-by-step explanation:

The 10th place is the one one right after the decimal, in this case 9. Since there's a 0 next to the nine you don't have to change anything. Thus you get 100.9

help i still dont understand

Answers

Answer:

1. c

2. a

3. d

4. b

Step-by-step explanation:

For 1, use parchment paper for rotating it around the origin.

For 2, just make the y value positive.

For 3, add 13 to the y value.

For 4, use process of elimination with the answer choices.

(I know right, horrible explanation but you wanted the answers right?)

Isabella watched the cashier scan the 7 items in her shopping cart. The scanned prices were
$9.00 $9.00 $8.00 $5.00 $7.00 $4.00 $7.00
What was the median price of the items?

Answers

Answer:

$7.00

Step-by-step explanation:

First you have to order the prices from least to greatest-

$4.00, $5.00, $7.00, $7.00, $8.00, $9.00, $9.00

Median means the number in the middle so you find the middle number which is $7.00 (the 4th number from least to greatest)

The median price is 49.00

The sum of 3c2d3 + (-5c2d3) + 10c2d3 is

Answers

Answer:

8c to the pwr of 2 d to the pwr of 3

Step-by-step explanation:

i think

Answer: To find the SUM of this expression, you end up with 8c^2*d^3. (Vote me brainliest please)

Can someone help me asap

Answers

The right answer is 2.8

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

2.8
Sjjsjsjs jsjsjzjz jsjsjzjz!

3a) What is the side length of the following square?*

Answers

Answer:

5.831

Step-by-step explanation:

This is a similar problem to the last 2 you posted.

Start at bottom vertex. Go up 5. Go left 3.

c^2 = a^2 + b^2

c^2 = 5^2 + 3^2

c^2 = 25 + 9

c^2 = 34

c = sqrt(34)

c = 5.831

50 POINTS!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!

The diagram shows a cuboid.
The height of the cuboid is 6cm.
The volume is 90cm3

What is the area of the shaded face?

Answers

Answer:

The area of the face is 15 cm^2

Step-by-step explanation:

The formula for volume is

V = Bh  where B is the area of the base and h is the height

90 = B * 6

Divide each side by 6

90/6 = 6B/6

15 = B

The area of the face is 15 cm^2

Answer:

15cm^2

Step-by-step explanation:

width will be 6cm since its side face is square.

V=lwh

90cm^3=l*6cm*6cm

90cm^3=36cm^2*l

l=90cm^3/36cm^2

l=2.5cm

so the area of the shaded face will be..

A=l×W

A=2.5cm*6cm

A=15cm^2

I’m confuse I need help

Answers

Answer:

f(-5) = -5/4

Step-by-step explanation:

Answer:

Answer is -1/20

Step-by-step explanation:

Hope this helps.

Use the general rotation matrix and the unit circle or inverse trigonometric functions to find the angles of rotation for the following matrices.

B=[-0.3090 0.9511]
0.9511 -0.3090
72
108
144

Answers

Answer:

108

Step-by-step explanation:

Hope this helps! :)

Answer:

108

Step-by-step explanation:

Edge 2020

What is the area of the triangle?
8
10
6
units

Answers

Answer:

A = 24 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

The base is 6 and the height is 8

A = 1/2(6) *8

A = 24 units^2

multiply: (sqrt10 +2 sqrt8)(sqrt10-2 sqrt8)

Answers

Answer:

(√10 +2√8)(√10 -2√8)=

(10 -8√5 + 8√5 -32)

10+0-32

10-32

= -22

Hope this helps.

Answer:

The other person is right, A. -22

Step-by-step explanation:

approximate the value of √5 to the nearest hundredth

Answers

Answer:

2.24

Step-by-step explanation:

[tex]\sqrt{5}[/tex] = 2.236067977...

Rounded to the nearest hundredth = 2.24

Answer: 2.24

Step-by-step explanation:

Use a calculator of some sort and find the square root of 5. Round to two decimal places after the whole number.

what is the relationship between angles 6 and 7

Answers

Answer: D; vertical angles

Step-by-step explanation: We could conclude thee are vertical angles because of the same measurement of each we could also see that they correspond each other and are therefore similar angles.

Concluding, that the answer would be D; vertical angles

Hope this helps

<3

-Carrie

P.S. It would mean a lot if you marked brainliest

What's the center of the circle with the equation 
(x−9)^2+(x+16)^2=25?

(9,−16)

(−9,16)

(3,−4)

(−3,4)

Answers

Answer:

Center = (9, -16)

Step-by-step explanation:

So you already have the center in the equation.

The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) = center.

Center = (9, -16)

That answer is (9,-16)

​Vanessa has 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.

Answers

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

The missing questions are:

Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.

Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.

A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:

24*m + 40 ≤ 256

B)  Solving the previous equation:

24*m ≤ 256 - 40

m ≤ 216/24

m ≤ 9

Can someone help me on these 2 questions?

Answers

Answer:

1. y=3

2. z= 27/4 or 6.75

Y=3 and z=27/4 are the answers

Wyatt has 222 one dollar bills, 222 five dollar bills, and 222 ten dollar bills. How much money does he have in all?

Answers

Answer:

$3,552.00

Step-by-step explanation:

First, you need to multiply 222 by 5. You will get 1110. Next, you need to multiply 222 by 10. You will get 2220. Now you take the 222 1 dollar bills and add it to the 1110 dollars, then add the 2220 to that. You will get the final number of 3552.

Here's the equation in what I call "Long Boi Form:"

222x5=1110 222x10=2220 1110+2220+222=3552

Here's the equation in what I call "Short Boi Form:" [Use this only if you

know PEMADAS!!!]

222+(222x5)+(222x10)=3552

Answer:

b

Step-by-step explanation:

in each diagram the line BD bisects angle ABC. Find the measure of angle ABC​

Answers

Answer:

∠ ABC = 134°

Step-by-step explanation:

Given tat CD bisects ∠ ABC then

∠ DBC = ∠ ABD , substitute values

x - 33 = [tex]\frac{x}{2}[/tex] + 17 ( multiply through by 2 to clear the fraction )

2x - 66 = x + 34 ( subtract x from both sides )

x - 66 = 34 ( add 66 to both sides )

x = 100

Thus

∠ DBC = ∠ ABD = x - 33 = 100 - 33 = 67°

Hence

∠ ABC = ∠ DBC + ∠ ABD = 67° + 67° = 134°

Solve the equation.4[x+1/3]=20

Answers

Answer:

[tex]x=\frac{14}{3}[/tex]

Step-by-step explanation:

Open the brackets.

[tex]4x +\frac{4}{3}=20[/tex]

[tex]4x=\frac{56}{3}[/tex]

[tex]x=\frac{14}{3}[/tex]

Answer:

So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have

x+1/3=5

Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.

All we will be left with is x

x = 4 2/3

What is the solution to the system of linear equations?
2x + y = 7
x - 2y = 16
A)(4,-1)
B)(-1,9)
C)(6,-5)
D)(-5,6)

Answers

Answer:

(6, -5)  (Answer C)

Step-by-step explanation:

Multiply the first equation by 2.  We get the following equivalent system:

4x + 2y = 14

 x - 2y  = 16

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

  5x = 30, or x = 6.

Substituting 6 for x in the second equation, we get

6 - 2y = 16, or

  -  2y = 10, so that y = -5

and the solution is (6, -5)  (Answer C)

What is the value of x? answers: A) 76° B) Impossible to determine C) 56° D) 62°

Answers

Answer:

C) 56 deg

Step-by-step explanation:

The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.

28 + y = 90

y = 62 deg

The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.

The sum of the measures of the angles of a triangle is 180 deg.

62 + 62 + x = 180

124 + x = 180

x = 56

Answer: C. 56 deg


84 is 30% of what number?
2.8
25.2
280
2520

Answers

Answer:

280

Step-by-step explanation:

30%=30/100=0.3

Let's call the mystery number x.

84=0.3x

84/0.3=0.3x/0.3

x=84/0.3=280

Hope this helps!

A box of 120 crayons contains variations of three
colors: blue, red, and purple. The ratio of blue
crayons to red crayons is 11:2, and the ratio of the
number of red crayons to purple crayons is 2:7. If
all of the purple crayons were removed, how many
crayons would be left in the box?
E. 16
F. 42
G. 78
H. 113​

Answers

Answer:

G. 78

Step-by-step explanation:

Blue to red=11:2

Red to purple=2:7

Total crayons =120

Total ratio

=11+2+7

=20

Blue=11

Red=2

Purple=7

Purple crayons

=Ratio of purple /Total ratio× Total crayons

=7/20×120

=42

If all the purple crayons were removed

=Total crayons - purple crayons

=120-42

=78

A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused

Answers

Answer:

2 inches

Step-by-step explanation:

Answer:

2 inches each

Step-by-step explanation:

1 foot = 12 inches

1/3 of 12 =4

left over :12 - 4 = 8

8/4 =2

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