A sequence is defined by the term-to-term rule
Un+1 = u. + 3
Given that u, = 1,
a) find u,
b) find uz
c) find us

Answers

Answer 1

Answer:

see solution below

Step-by-step explanation:

Correct question

A sequence is defined by the term-to-term rule

Un+1 = u. + 3

Given that u1 = 1,

a) find u2

b) find u3

c) find u5

a) Given the recursive formula;

Un+1 = un + 3

When n = 1;

U1+1 = U1 + 3

U2 = U1 + 3

U2 = 1 + 3

U2 = 4

b) U3 = U2 + 3

U3 = 4 + 3

U3 =7

c) U4 = U3 + 3

U4 = 7+3

U4 = 10

U5 = U4 + 3

U5 = 10 + 3

U5 = 13

Note that the question was assumed. The same calculation can be employed for nay other term


Related Questions

what is the rate of change for the function y= 5x+ 25

Answers

Answer:

5

Step-by-step explanation:

rate of change = slope = 5

Frank is making a dog bed from a pattern. The picture shows the length and width of the piece of fabric he needs. Which is the area of the piece of fabric?

Answers

Answer:

252 square feet

Step-by-step explanation:

Looking at the problem what’s the difference between the two highlighted please I’m Russian and don’t understand English every well

Answers

one is a coefficient ! other is normal number

Answer: Разница между ними восемь

Step-by-step explanation:

Need help show work I will give brainliest if answer is correct

Answers

Answer:

Step-by-step explanation:

surface of the entire object

1) bottom.  8*16= 128 sq inchs

2) triangle sides.    1/2 b*h =  1/2*16 *6 = 48  but there are 2 ,  the front, and the back.    (2*48)=96 sq

3) pitched tops  10*8=80   but there are 2   80*2 = 160 sq

total = 1+2+3

total = 128 + 96 + 160

total surface area = 384 [tex]inchs^{2}[/tex]

What are the values of the expression??

(-10)2 and -102.

Answers

Because of the parenthesis the equation has changed

A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​

Answers

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?​

Answers

Answer:

Sarah would peel 3 oranges in 15 minutes

Explanation:

I’m not sure if I did it right but i multiplied 7 by 60 (hours by minutes in an hour) and got 420. Then I divided it by 15 and got 28. Finally, I divided 84 by 28 and I got 3. I don’t if I am late or right for this question though.

In triangle QRS, the measure of
angle Q is 70º. Angle R is
congruent to angle S. What is the
measure of angle R in degrees?

Answers

Answer:

55 degrees :)

Step-by-step explanation:

all triangles add up to 180 degrees.

we already have 70 degrees and since <S = <R they are the same # of degrees.

subtract 70 from 180 and we get 110.

divide 110 by 2=55

<S 55

<R 55

<Q 70

Answer:

62

Step-by-step explanation:

A laundry basket has 24 t-shirts in it. Four are navy, twelve are red and the remaining are white. What is the probability of not selecting a red shirt? *

Answers

Answer:

50%

Step-by-step explanation:

Identify the population of shirts that are *NOT red.* In this case 12 are red. This means that 12 shirts are *not red.* 12/24 = .5 or 50% probability.

Kate started with a piece of bubblegum that was 5/8 in wide. She later blew a bubble that was 2 7/8 in wide. How much wider was Kates bubble than the original price

Answers

Answer:

9/4 or 2 1/4

Step-by-step explanation:

2 7 /8 -5/8 which gives you 9/4

Pls help me it’s overdue!!!

Answers

Answer:

Step-by-step explanation:

a = 1935 / 5 is the change

b = 1960 / 10 is the change

c = 1950 / 20 is the change

They are all increasing i'd assume they all went threw a positive change

please help I'll give brainliest

Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose​

Answers

Answer:

Option A

Step-by-step explanation:

Let the amount be P

Compound interest:

P*(1 + 0.027)^5 = P*1.1425 rounded

Simple interest:

P*(1 + 0.028*5) = P*1.14

Alice should choose compound interest, Option A

Convert the following repeating decimal to a fraction in simplest form.
.3

Answers

Answer:

1/3

Step-by-step explanation:

When you divide 1 by 3, you get .3 repeating.

please awnser photo will give brain if you are first

Answers

Answer:

THE SECOND ONE

The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?

Answers

Answer:528

Step-by-step explanation:

This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528

Express the ratio in it's simplest form:

4n/n^2​

Answers

Simplify the expression.

4/n

can you help me the first person will get brainliest

Answers

Answer:

put the equations in tiger math

Step-by-step explanation:

I can’t read it , nor see it ??

but other than that have a good day !! goodluck with everything

5(-1x+5)=10 pls help

Answers

Answer:

-5x+5=10

-5x=10-5

-5x=5

x=-5/5

x=-1

Answer: x = 3

Step by step

5 ( –1x + 5) = 10

(1) Distribute

= – 5x + 25 = 10

(2) Subtract 25 from both sides of the equation

= –5x + 25 -25 = 10 – 25

(3) Simplify

= –5x = – 15

(4) Divide both sides of the equation by the same factor

= –5x/–5 = –15/ –5

(5) Divide the number

= x = –15/–5

Answer: x = 3


Which of these triangles appears notto be congruent to any others shown
here? Check all that apply.

A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F

Answers

I think it’s just f and d

please help me please will give brainliest to ​

Answers

Answer:

D) (1, -1)

Step-by-step explanation:

point G corresponds with point L

the coordinates of pt G are (2, -2) so take 1/2 of each to get (1, -1)

Which equation represents a line which is perpendicular to the line 5x + 2y = 12?

Answers

Answer:

         y = ²/₅ x - 3

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅

is this a function? pls help

Answers

Answer:

It would be no

Can u help me understand how to write a function for the rule "the output is 3 less than 5 times the input" thanks :)​

Answers

Answer:

I think it would be something like 5x - 3 =

Can someone help me on 2/3-3/8 show work

Answers

Answer:

It is 7/24

Step-by-step explanation:

So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.

Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.

Everything changed should be 16/24-9/24

then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24

Please Help :(
Evaluate the expression when x = 9:

5|6−x|

A)−30
B)10
C)15
D)75

Answers

Answer:

it is C

Step-by-step explanation:

Its c because i had the exact same problem

Is 15 Bc 6-9 is -3 and the positive of that is 3 and then times that by 5 and that gives u 15

hi waht is m⁵×m⁴ in algebra maths​

Answers

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]

I am a solution . My number cubed is equal to - 64 . What number am I?

Answers

Answer:

-4

Step-by-step explanation:

-4^3 = -64

how do i answer this please?

Answers

Answer:

a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]

Step-by-step explanation:

a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]

Taking √3 & √5 common respectively,

[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]

[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]

[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]

Taking 4 common ,

[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]

Write an equation of the line with a slope of -4 and a y-intercept of 2.

Answers

Answer:

Step-by-step explanation:

-4 x y-= 2

Can someone plz help me like please

Answers

Answer:

1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000

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