Find P 20 of the following arithmetic sequence: 206, 212, 218, 224....
State:
Po =
d =
P20 =

Answers

Answer 1

Answer:

[tex]p_{20} = 1.25528[/tex]

P₀ = 206 and difference d = 6

Step-by-step explanation:

Step(i):-

Given that the arithmetic sequence

                 206,212,218,224,.....

P₀ = 206 and difference d = 212-206 = 6

The [tex]n^{th}[/tex] term of the sequence

   [tex]t_{n} = ar^{n-1}[/tex]

Step(ii):-

The [tex]n^{th}[/tex] term of the sequence

   [tex]P_{n} = ar^{n-1}[/tex]

Put n=20

[tex]P_{20} = 206 ( 6) ^{20-1}[/tex]

[tex]p_{20} = 1.25528[/tex]


Related Questions

A solid gold ingot has a volume of 200 cm3 and a mass of 3.9 kg.

What is the density of gold?

Answers

Step-by-step explanation:

convert 3.9 kg to grams

3.9×1000=3900 g

density = mass/ volume

= 3900/ 200

=19.5 g/cm3

Hello, I need help with a math question, please tell me if I am right. *Refer to the photo*

Answers

As I can tell the tables are right but it would be a function since none of the x's repeat

Consider a population that grows to the recursive rule Pn= Pn-1 + 50,
with initial population Po = 200
(a) Use the recursive formula to find: p1 and p2
(b) Find an explicit formula for the population.
(c) Use the explicit formula to find P60

Answers

Answer:

a)   P₁  = 250 and    P₂ = 300

b) The explicit formula   Pₙ = 150+ 50 n

c)  [tex]P_{60} = 3150[/tex]

Step-by-step explanation:

Step(i):-

Given that Pₙ = pₙ₋₁ +50 and P₀ = 200

Put n =1

         P₁ = P₀+50 = 200+50 = 250

Put n =2

         P₂ = P₁+50 = 250+50 = 300

Put n=3

       P₃ = P₂+50 = 300+50 = 350

and so on

The sequence     200,250,300,350,..

Step(ii):-

The sequence     200,250,300,350,.. is an arithmetic sequence

The explicit formula

       Pₙ = a+(n-1)d

       Pₙ = 200+(n-1)50

       Pₙ = 200+ 50 n -50

        Pₙ = 150+ 50 n

The explicit formula   Pₙ = 150+ 50 n

c)

The [tex]n^{th}[/tex] term of the sequence

       Pₙ = 150+ 50 n

put n=60

      [tex]P_{60} = 150 + 50 (60) = 3150[/tex]

Give 3 values for x that make the inequality true. x < 3

Answers

Answer:

2, 1, 0

Step-by-step explanation:

they are less than 3 (Please mark brainliest)

A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how much red paint would you need?
12 teaspoons
18 teaspoons
14 teaspoons
26 teaspoons

Answers

Answer:

26 teaspoons

Step-by-step explanation:

15+20=35

6+20=26

Please save me :( I am bad at math

Answers

Answer:

d. 11050

Step-by-step explanation:

1. you're dividing to see how much one costs, 4420 divided by 4 = 1105

2. multiply by 10, 1105 x 10 = 11050 (add a zero)

Answer:

i dont know the exact answer but i can give you the instuctions on how to do do it.

Step-by-step explanation:

1. Cut 4420 in half (4420 divided by 2). Store that for later. This is two hours.

2. Multiply 4420 by 2 (This will give you 8 hours which, in mathematics, when added with two is ten.)

3. Add the answers you got from 1 and 2 to get your answer.

And there you have it.

Hope this helps!  

-Alex

what is the answer of 2 1/12 - 1 3/12?

Answers

Answer:

5/6

Step-by-step explanation:

5x - D
X is 87 D is 986

Answers

894

5+87=92-986= 894

Answer:

894

Step-by-step explanation:

Can some answer and explain thank you! I’ll mark brainliest too❤️❤️

Answers

can u explain this please?

Answer:

B= -1cm negative 1 + dx negative 1 A negative 1

step-by-step explanation:

SIMPLIFYING:

A(bx+c)=d

(bx*a+c*a)=d

SOLVING FOR VARIABLE B :

Move all the terms containing b to the left , all of

Add ' -1cA ' to each side of the equation.

b x a + Ca + -1cA= -1cA+d

COMBINE LIKE TERMS: cA + -1cA=0

b x A to = -1cA + d

b x A = -1cA + d

Divide each side by 'xA'

b=-1cx negative 1 + dx negative 1 A negative 1

hope it is helpful .

Help me pls anyone?

Answers

Answer:

m= -2

Step-by-step explanation:

Round the number 0.86431 to 2 decimal places.


Answers

Answer:

0.86

Step-by-step explanation:

0.86431 -> 0.86

Answer:

0.86

Step-by-step explanation:

since the number is the third decimal place is lesser than five, the number in the second decimal place remains thee same and will not increase

A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 5488 cubic
feet. Find the dimensions of the pool.


Answers

Answer:

Dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

given that depth of pool = 8 ft

let say one side of pool that is width = x

so other side of pool that is lenght = 3.5x [ given ]

volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft

Volume of rectangular pool = length × width × depth of swimming pool

⇒ 4032 cubic ft = 3.5x × x × 8

⇒ 4032/(3.5 ×8 ) = x²

⇒x² = 144

⇒x = √144 = 12

⇒3.5x = 12 × 3.5 = 42

hence dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

Plzz complete #’s 1, 3, 5, 7, and 9 first person with all correct answers will get brainliest

Answers

try using the app Photomath for numbers 1-3!

Someone help give the answer

Answers

The answer is 12 if I’m wrong sorry

What is the value of 6x² when x = 1/3​

Answers

its 2/3 because you substitute 1/3 into the equation

A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Saturday. There were 75 fewer cheeseburgers sold
than hamburgers. How many hamburgers were sold on Saturday?

Answers

Answer:

D.

Step-by-step explanation:

it is right

convert each statement in-if then form.
quadrilateral is a figure with four sides.

Answers

Answer:

Step-by-step explanation:

If a quadrilateral is a figure, then it has four sides.

Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box

Answers

Answer:

where are the stones

Step-by-step explanation:

Answer:

you have to figure out how big the stones are and add to the box accordingly

Step-by-step explanation:

what is the probability of hitting 2 out of 4 pitches​

Answers

The Probability is 50%.

angle A= ?
HELP HELP HELP

Answers

Answer:

A = 41.41

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos A = adjacent/ hypotenuse

Cos A = 6/8

Taking the inverse cos of each side

cos ^ -1 ( cos A) = cos ^-1 ( 6/8)

A =41.40962211

Rounding to the nearest hundredth

A = 41.41

The probability that you see a butterfly during a nature signature is 80% the probability that you see a turtle is 40% what is the probability of seeing both

Answers

Answer:

32%

Step-by-step explanation:

To find the probability of seeing both, multiply the probabilities together:

0.8(0.4)

= 0.32

So, the probability of seeing both is 32%

I need help plz ...........

Answers

23 dkdkxisoosorjdbfjsifisne d

A town of 3200, grows at a rate of 25% every year. Find the size of the city in 10 years.

Answers

3200/4 = 800. So 800 is how much more it grows in one year. So, in 10 years, there would be 8,000 more people. Your answer is 11,200. Have a nice day!

The size of the city in 10 years is equal to 29,802.32

Given the following data:

Population = 3200Growth rate = 25% = 0.25Time = 10 years.

To calculate the size of the city in 10 years:

In this exercise, you're required to determine the size of this city in the next ten (10) years.

The formula for exponential growth.

Mathematically, the exponential growth of a population is given by this formula;

[tex]P = a(1+r)^t[/tex]

Where:

P is the total population.r is the growth rate.t is the time.

Substituting the given parameters into the formula, we have;

[tex]P = 3200(1+0.25)^{10}\\\\P = 3200(1.25)^{10}\\\\P = 3200 \times 9.3132[/tex]

P = 29,802.32

Read more on here: https://brainly.com/question/23213182

Triangle ABC is an equilateral triangle. Segment AD measures 18 inches.
Triangle A B C is shown. A perpendicular bisector is drawn from point A to point D on side B C. The length of A D is 18. Line A C cuts side B C into 2 equal parts.
Which statements about the diagram are correct? Check all that apply.
BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.

Answers

Answer:   C, D

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

Edge 2021

Write an equation in slope-intercept form for the line that passes through
(–1, –2) and (3, 4).

Answers

THE ANSWER IS: y=3/2x-1/2

first find the slope given the two points

plug in the slope and one of the given point into point intercept form

multiply out the equation to find slope-intercept form

WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND I ADD EXTRA POINTS

Answers

Answer:

A

Step-by-step explanation: plz mark brainliest

If you see The abc triangle you can see that triangle DEF is about twice the size of the other triangle so if you would double the size of the small triangle by the same number which was 20 you would do 20 + 20 = 40 and you would multiply 4 x 5 which equals 20 and add 20 + 20 which equals 40 which is the double amount of triangle ABC

Answer:

an extra comment so the other guy gets brainlist:)

Step-by-step explanation:

Mr. Wilson spent $252 to stay 3 nights at pavia. Pavilions. At that rate, how much is he spending per night

Answers

Divide $252 by 3 and you get an even $84 per night.

statistics professor administered an exam to four different classes and obtained the average grades per

Answers

Answer:

where is the given?

Step-by-step explanation:

please give it to comment section and i will answer it

please help will give brainliest ​

Answers

Answer:

The third choice:  0.091

Step-by-step explanation:

There are only 9 cards with numbers that add up to 10:

19, 28, 37, 46, 55, 64, 73, 82, & 91

9/99 = 0.090909 or 0.091

Part B The three remaining sides of ABCD are not purely horizontal or vertical. You will use the Pythagorean Theorem to find the lengths of these sides. Start with AB place point E at (-5, 4), and draw AE and EB. Now you have right AAEB with AB as the hypotenuse. Find EB and AE using the coordinates of A, B, and E. Then use the Pythagorean Theorem to find AB. Show your work.​

Answers

Answer:

EB = |1 – (− 5)| = 6

AE = |4 – (− 4)| = 8

Using the Pythagorean Theorem to find AB:

AB2  =  EB2 + AE2

AB2  =   62 + 82

AB2  =  36 + 64

AB  =  [tex]\sqrt{100}[/tex]

AB  =  10

Step-by-step explanation:

Answer:

AE = |4 + 4| = 8

EB = |1 + 5| = 6

Distance Formula: d = √(x2-x1)2 + (y2-y1)2 

AB = √(x2-x1)2 + (y2-y1)2 

A = (-5,-4)

B = (1,4)

AB = √(1-(-5))2 + (4-(-4))2 

AB = √(6)2 + (8)2 

AB = √(6)2 + (8)2 

AB = √36 + 64

AB = √100

AB = 10

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