How do you prove that infinite sequences converge? For example how did someone prove that 1 + 1/4 + 1/9 + 1/16 + 1/25 ..... converges to π^2/6. Can someone explain how people do this, and the process to discovering whether or not infinite sequences diverge or converge? An answer fully explaining the process, that is also fairly clear will receive a brainiliest.

Answers

Answer 1

Answer:Prove that for any nonzero natural

it is true that

Sn=1+1/4+1/9+1/16+1/25+1/2<2

I'm sort of at a loss here. I'm not sure if there exists some formula or method to sum this kind of series, since there is a variable ratio…

Related Questions

6
Which line has the steeper slope?
Line
4
has a steeper slope.
Line A
N
Line B
X
-6
4
-2.
2
4
6
-2
4
-6

Answers

Line A has a slope of 4/3
Line B has a slope of 4/2
The answer is Line B

Marian horneó 111 galletas para vender. De las cuales 2/3 les puse glaseado y a las restantes chocolate. Cada galleta de chocolate la vendió en $4.50 y las de glaseado en $2 más que las de chocolate. ¿Cuánto obtendrá de ganancia si vende todas las galletas?

Answers

Answer:

$647.50

Step-by-step explanation:

111 x 2/3 = 74

111 x 1/3 = 37

$4.50 x 37 = $166.50

$6.50 x 74 = $481

$481 + $166.50 =

$647.50

¡Espero que ayude!

Answer:

37 chocolate $166.5

74 glaseado $481

481 + 166,5 =

$647.5

Step-by-step explanation:

What is the solution to the inequality -6( p - 8) < -12?
please help!!

Answers

Answer:

-8 for me and thats pretty much it

Step-by-step explanation:

A piece of ribbon is 24cm long.how many times can a piece of 0.8cm long be cut from it

Answers

Answer:

30 pieces

Step-by-step explanation:

24/0.8 = 30

MARK ME BRAINLIEST! :D

I need answer for 1 2 and 3

Answers

Answer:

where are the answers???

Step-by-step explanation:

Help asap will give crown!!!
Figue ABCD is a trapezoid find the value of x

Answers

(3x+3) + (4x + 2)
------------------------- = 13
2

13(2) = (3x+3) + (4x+2)

26 = 3x + 3 + 4x + 2

26 = 7x + 5

26-5 = 7x

21 = 7x

x = 21 ÷ 7

x = 3

The midpoint M of KL has coordinates (1, 5). Point K has coordinates (1, 8). Find the
coordinates of point L.

Answers

Answer:

The coordinates of point L would be (1, 2).

(9i)(i^2)(4i)
Pls awnser

Answers

Answer: 36

Source: Trust me bro.

Answer:

Step-by-step explanation:

We are dealing with imaginary numbers, which works differently than a normal problem.

Let's combine (9i) and (i^2) and create a multiplication problem,

9ii^2 * 4i

Multiply the constants :

[tex]36i^2ii[/tex]

We see 4 i's in this problem, add them all together :

[tex]36i^4[/tex]

4 i's are equal to 1, now multiply the constant :

[tex]36 * 1[/tex]

. i cant do this.. :( Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Solve the following equation for x. 12x^2 + 24x = 0

Answers

Answer:

Step-by-step explanation:

12x^2+24x=0

a= 12

b= 24

c=0

x= -24 +/- the square root of 24^2-4x12x0 divided by 2x12

once you solve that, you should get x=0 x=-2

Circle D is below.

What is the arc measure of BAC in degrees?

(7n+12)

(13n-16)

(6n)

Answers

Answer:

[tex]BAC = 276[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find BAC

The sum of [tex]angles\ at\ a\ point[/tex] is 360.

So:

[tex]7n + 12 + 13n - 16 + 6n = 360[/tex]

Collect like terms

[tex]7n + 13n + 6n = 360 + 16 - 12[/tex]

[tex]26n = 364[/tex]

Solve for n

[tex]n = 364/26[/tex]

[tex]n = 14[/tex]

From the circle:

[tex]BAC = 7n + 12 + 13n - 16[/tex]

Substitute 14 for n

[tex]BAC = 7*14 + 12 + 13*14 - 16[/tex]

[tex]BAC = 276[/tex]

Write a rule for the function below

Answers

Answer:B

Step-by-step explanation: y=x+2

Find the measure of the indicated arc or angle.

Answers

Answer:

you have to subtract those two numbers

1/5 ( 4x + 3) 5/6x - 1

Answers

Answer:

Step-by-step explanation:

Find the volume of the cone.

What is the radius?
12

What is the height?
5

Write the volume in terms of pi (1/3 times radius squared times the height only).
π km3

Solve for the volume (Multiply by 3.14 this time)

Answers

Answer:

Step-by-step explanation:

Your first two answers are incorrect. Radius = 5 km

Height = 12 km

volume of cone = πr²h/3 = π5²⋅12 = 300π km³

300π ≈ 942 km³

Please answer fast, I’ll give brainliest.

Answers

Answer:

Step-by-step explanation:

The Titanic could stay afloat with four of its 16 watertight compartments flooded, more than anyone could imagine on a ship of its size. ... As the ice bumped along its starboard side, it punched holes in the ship's steel plates, flooding six compartments. In a little over two hours, the Titanic filled with water and sank.

Calculate the interest to be paid at the end of 3 years ,if Hari borrowed Rs 30000 at 3% interest per year

Answers

Answer:

2700

Step-by-step explanation:

Given data

Time= 3 years

Principal= 30000

Rate= 3%

The simple interest formula is given as

SI=PR/100

substitute

SI= 30000*3*3/100

SI= 270000/100

SI= 2700

Hence the Interest is 2700

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot.

Answers

Answer:

the length of RS to the nearest tenth of a foot is 240.6ft

Answer:

240.6

Step-by-step explanation:

MO
R
S
Activity 1
Given: <QPR <SPW
р
Prove: QRws
W
Statement
Reason
1. <QPR <SPW
2. m <QPR = m <SPW
3. m<QPR = m QR and m<SPW = m WS
4. m QR = m Ws
5. QR LWS

Answers

Answer:

Is dis a question...??????

Question 1

Which of the following is NOT linked to cardiovascular disease

Answers

Unsaturated fat is the correct answer

The ____ represents the x-values. The ___ represents the y-values.

Range

Domain

Answers

Answer:

The domain represents the x values

The range represents the y values

Step-by-step explanation:

Answer:

The domain represents the x values

The range represents the y values

Simplify the expression 6x + 9 + 3x -x by combining like terms?

Answers

Answer:

Group the like terms

6x + 3x - x + 9

Work out the x values together and then add the 9

9x - x + 9

8x + 9

your final answer should be about 8x + 9 as it cannot be simplified anymore

Geometry: I need help!

Answers

Volume of triangular prism = base x height x length / 2
= 8 x 5 x 9 / 2
= 360 / 2
= 180 cubic cm

Gretchen rode her snowmobile 114 miles to a snowmobile trail. She rode on the trail for 556 miles and then rode back home. Which addition sentence shows how many miles Gretchen rode in all? A. 114+556=635 B. 114+556=7112 C. 114+556+114=813 D. 114+556+114=712

Answers

Answer:

B. 1 1/4+5 5/6=7 1/12

Step-by-step explanation:

Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode on the trail for 5 5/6 miles and then rode back home. Which addition sentence shows how many miles Gretchen rode in all?

This is calculated as:

1 1/4 miles + 5 5/6 miles

1 + 5 + ( 1/4 + 5/6)

Lowest common denominator = 12

6 + ( 3 + 10/12)

6 + 13/12

6 + 1 1/12

7 1/12

Option B is correct

Answer:

Step-by-step explanation:

This answer is correcct

the shape below T180° about the origin and name the coordinates of the new shape:

Answers

Answer:

coordinates.... hmm.. lemme see,

2,5

2,3

0,3

i think- im so sorry if this is wrong

Step-by-step explanation:

PLEASE HELP ASAP

What would increase the dissolution rate (the rate a solid dissolves) in a liquid?

Question 1 options:

decreasing the temperature of the solvent

grind the solvent into smaller pieces

stirring much more slowly

adding more solid to the liquid.

Answers

Answer and Step-by-step explanation:

The correct answer choice would be to grind the solvent into smaller pieces.

When the solid is in smaller pieces, it would take less time for the dissolver to dissolve the smaller bits, since the pieces are smaller and take up less volume for the dissolver to go through.

With a bigger solid, the dissolver would just chip away at the solid before eventually dissolving the solid, although this could take some time.

#teamtrees #PAW (Plant And Water)

PLEASE HELP!!!! WILL CHOOSE BRAINLIEST!!!!

Answers

Answer:

x=-5 y=52

x=-1 y=12

x=0 y=2

x=1 y=-8

Step-by-step explanation:

Hope this helps (:

2.6432 rounded to the nearest tenth

Answers

Answer:

2.6

Step-by-step explanation:

Answer:

2.6 is the answer.

~PLEASE LOOK AT THE PICTURE~

Answers

Answer:

Step-by-step explanation:

2*2 = 4,

6 sides on a cube,

4 * 6 = 24

Answer:

Sure! it's 8ft sq

Step-by-step explanation:

Because 2 x 2= 4 and now theirs only that one " 2" left so u got to multiply

4 x 2=8 ft sq. also to find the area of something YOU ALWAYS MULTIPLY!

Have an amazing day! God Bless u! and hope this is helpful.

PLEASE HELP FAST!
True or False:
A circle has a diameter of 10 inches. If a scale factor of 4.5 is applied, the area of the new circle is 353.25 cubed inches.

Answers

Answer:

false

Step-by-step explanation:

What are some exercises that help me reach my goal?Comment at least with 2 exercises

My goal: to run a full mile without having to stop at least 3 times.

Exercises like running,squads ,etc

Answers

Walking and Cycling, These exercises may seem small but help build endurance. Endurance will help you keep on going when running a full mile.

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