a sequence U1, U2,U3...... is defined by the relation Un +1 = 2Un +5. if U1 =2, find U1​

Answers

Answer 1

Correct question:

a sequence U1, U2,U3...... is defined by the relation [tex]U_{n +1} = 2U_n +5[/tex]. if U1 =2, find U2​ and U3

Answer:

U2 = 9

U3 = 23

Step-by-step explanation:

Given sequence;

[tex]U_{n +1} = 2U_n +5[/tex]

U1 = 2

U2 = ?

[tex]U_{n +1} = 2U_n +5\\\\U_2 = 2(U_1) + 5\\\\U_2 = 2(2) + 5\\\\U_2 = 4 + 5\\\\U_2 = 9[/tex]

Solving for U3;

[tex]U_3 = 2(U_2) + 5\\\\U_3 = 2(9) + 5\\\\U_3 = 18 + 5\\\\U_3 = 23[/tex]


Related Questions

57 POINTS!!!!!!! PLEASE HELP MEE. ALSO DUEE RIGHT NOW

TOPIC: MATH
Please solve all the questions in the attachment.

Answers

Answer:

1. 2

2. 5.2

3. (c * 2) - 3= a

4. ($85 + $35 * h)

Step-by-step explanation:

1. |4−2| (simplified)

= |2|

=2

2. 2a^2 = 5.2

(22)(1.3)

=(4)(1.3)

=5.2

(2.6 - (2*1.3))=

5.2 - (2.6 - 2.6) = 5.2

3. (c * 2) - 3= a

4. ($85 + $35 * h)

Select all the expressions that are equivalent to 4 (3x+6y
A. 12x+6y
B. 12x+24y
C. 2 (6x+12y)
D. 4 (12x+24y)

Answers

Answer:

the answers are b and c

Step-by-step explanation:

b

[tex]12x + 24y = \\ 4(3x + y)[/tex]

c

[tex]2(6x + 12y) = \\ 12x + 24y = \\ 4(3x + 6y)[/tex]

Juan had some pieces of gum. He gave 23 pieces to his brother. His sister then gave him 5 more pieces. Now he has 39 pieces of gum. How many pieces of gum did Juan start with.

Answers

Answer:

This equals 11

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

39-5 equals 34 then add 23 that adds up to 57

2 x [(27–3) - (3+4)] = n
what’s (n)

Answers

Answer:

n = 34

Step-by-step explanation:

2{(24- ( 3 + 4)) =n

2{(24 - 7) =n

2 x 17 = n

34 = n

swap the sides

n = 34

Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds

Answers

Answer:

jdkkdksmsmsmsksksksksksmaMmamMamnz

Step-by-step explanation:

nnznznznznxnxnxnsnskakakakakakzznnznanananaan

find the equation plz due today helppp

Answers

Answer:

y=-2x+2

Step-by-step explanation:

The slope goes before x and the y intercept is added. y=mx+b

PLS HELP

Given the following diagram, find the required measures.

Given: l || m

m∠4= 105 and m∠6=50

m∠2=

50

55

75

Answers

Answer:

55

Step-by-step explanation:

m L 2 = 105-50 = 55°

______

please help me!!!!lol

Answers

Answer:

a = 0, b = 7

a = 1, b = 6

a = 2, b = 5

a = 3, b = 4

a = 4, b = 3

a = 5, b = 2

a = 6, b = 1

a = 7, b = 0

Step-by-step explanation:

the sum of a and b must equal 7 because 4 x 7 = 28

Please help!! I've been stuck on this for a while, any help is greatly appreciated!!

What is the equation that represents the table below?

Answers

Answer:

every 2.5 kilometers is another 4 miles

Step-by-step explanation:

by looking at the chart you can see that the kilometers raise by 2.5 every 4 miles.

14. Which of the following correlation coefficients represents the strongest linear
relationship?
1) 0.78 2) 0.34 3) -0.10 4) -0.88

Answers

-0.88 because it is the closest to -1 or 1

Jimmy bought a refrigerator that cost $525 before tax. He paid 8% of this amount in tax. What was the total cost of the refrigerator including tax?

Answers

Answer:

$567 after tax

Step-by-step explanation:

first, let's multiply 525 by 0.08 because he paid 8% (0.08) of 525 in tax.

525(0.08)= 42

now, let's add them together, because the question asks for the total cost.

525+42=567

$567 after tax

A group of girls plays 2 hours of video games. They equally share the playing time between the 4 of them. How many minutes of play time does each girl get? ​

Answers

This is pretty easy so pretty much
2/4 which is .5 you’ll need to convert this to time and half an hour or 30 mins equals .5
Hope this helps have a good day

Answer: A: 30

Step-by-step explanation: 2 hours in minutes is 120 minutes.

(60 minutes is in an hour so multiply 60 * times 2=120)

120 divided by 4 is 30. You're splitting 120 minutes into 4 pieces.

30 is the answer. Happy Women's Month! #BeBrainly


A rectangle has a length of 5 inches and a
width of 3 inches. If a similar rectangle has
a width of 15 inches, what is its length

Answers

Answer:

It should be 25.

Step-by-step explanation:

one Triangle is 5 times the size of the other triangle

length of 5 x 5 = 25

width of 3 x 5 = 15

A basket contains five apples and eight
peaches. You randomly select a piece of
fruit and then return it to the basket. Then
you randomly select another piece of fruit.
Both pieces of fruit are apples.

Answers

Hopes this helps:

Answer:

pls help i appreciate them so muchh

Answers

Answer:

Choice C

Step-by-step explanation:

4x+80=180 degrees

summation of all angles in a triangle is 180°

x years after the year 2015 the population of the city of Fulton is given by the function of F(x)=35000(1.03)^x and the population of the city of breenville is given by the function g(x)=80000(0.95)^x ?

Answers

Answer:(2) (3) (4)

Step-by-step explanation:

someone help Slope from graph

Answers

Answer: 2/3
Slope = y2-y1/x2-x1
I’ll take the points (-2;0) and (1;2)
Slope = 0-2/-2-1
=-2/-3=2/3

hey whats the answer to this ? will mark brainliest if correct

Answers

Answer:

C. 128°

Step-by-step explanation:

Here,

<BAC + <BAE = 180° [Since supplementary angles]

=> 52° + <BAE = 180°

=> <BAE = 180° -52°

=> <BAE = 128° (Ans)

A bag of cookies contained 9 chocolate chip cookies, 10 sandwich cookies, and 3 peanut butter cookies. If you
reach into the bag without looking, what is the probability that you will NOT pull out a peanut butter cookie?
Write your answer as a fraction in simplest form.

Answers

Answer:

19/22

Step-by-step explanation:

cc = 9

sand = 10

pb = 3

total = 22

P(not pb) = 19/22

What is the difference in the medians of the two exams? a 5 points b 15 points c No difference d 10 points

Answers

Answer:

What are the medians of the two exams? Can you post a picture?

half-life of Po-210 is 140 days. If the initial mass of the sample is 5
kg, how much will remain after 420 days.

Answers

Answer:

[tex]0.625kg[/tex]

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass after 420 days

in order to solve so we can consider the half-life formula given by

[tex] \displaystyle f(t) = a {0.5}^{t/T} [/tex]

where:

f(t) is the remaining quantity of a substance after time t has elapsed.a is the initial quantity of this substance.T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

[tex]\displaystyle f(420)=5\cdot{0.5}^{420/140}[/tex]

reduce fraction:

[tex]\displaystyle f(420)=5\cdot{0.5}^{3}[/tex]

By using calculator we acquire:

[tex]\displaystyle f(420)=0.625[/tex]

hence, the remaining sample after 420 days is 0.625 kg

1. Express 36 minutes as a fraction of an hour: 36 minutes hour​

Answers

Answer:

0.600

Step-by-step explanation:

36minutes/60 minutes

PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?

Answers

The answer would be 20%

I need a little help

Answers

ok so you have to take out c beacsue ########

1) Solve for Side A.

2) Solve for Angle B.

Best answer will receive Brainliest.

Answers

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]

Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46°

39.46 I hope it helps

would be so kind of someone to solve this ty (it’s multiple choice btw)

Answers

Answer:

C

Step-by-step explanation:

con ayuda de tu familia formula un
ejercicio de combinación simple puedes
utilizar tu computador a escribirlo en
tu cuaderno.
ayuda es para hoy doy coronita​

Answers

https://youtu.be/GZcm4mswivc

espero que te ayude

A map has a scale of 5 in. = 15 mi. If you measured the distance between two cities to be 26 in. On the map, how many miles would it actually be? If necessary, round your answer to the nearest tenth.

Answers

Answer:

Actual distance between the two cities given on the map = 78.0 miles

Step-by-step explanation:

Scale used for the actual distance between two cities on a map is,

5 in. = 15 mi.

[tex]\frac{5}{15}[/tex] in. = [tex]\frac{15}{15}[/tex] mi.

1 mi. = [tex]\frac{1}{3}[/tex] in.

1 inch = 3 miles

Therefore, 26 inches on the map = 26 × 3

                                                        = 78 miles

Therefore, actual distance between the two cities given on the map = 78.0 miles

Flip a coin 4 times and calculate the experimental probability of the coin landing heads up. Flip a coin 4 more times to increase the total number of trials to 8. What is the experimental probability of the coin landing heads up?

Answers

Answer:

0.35 Not sure

Step-by-step explanation:

Answer:

3/4 and 5/8

Step-by-step explanation:

A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12​

Answers

Answer:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

4,800 loaves will be baked in 12 hours.

Explanation:
Unjt rate is 400 loaves per hour (divide 2000 by 5)

Multiply 400 • 12= 4,800.

Have a nice day/night!
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