Here are the values of the first 5 terms of 3 sequences: : 30, 40, 50, 60, 70, . . . : 0, 5, 15, 30, 50, . . . : 1, 2, 4, 8, 16, . . . For each sequence, describe a way to produce a new term from the previous term. If the patterns you described continue, which sequence has the second greatest value for the 10th term? Which of these could be geometric sequences? Explain how you know.

Answers

Answer 1

Answer:

1,2,4,8,16.

Step-by-step explanation:

they are a square root of 2 for each question. it will eventually get up higher then additive.

Answer 2

The sequence that has the second greatest value for the 10th term is

 1, 2, 4, 8, 16, . . .

The geometric sequences in the given sequences is  1, 2, 4, 8, 16, . . .

What is a sequence?

A sequence  is an enumerated collection of objects in which repetitions are allowed and order matters.

Now the given sequences are,

30, 40, 50, 60, 70, . . . :
0, 5, 15, 30, 50, . . . :

1, 2, 4, 8, 16, . . .

For sequence 30, 40, 50, 60, 70, . . . :

we have common difference, d = 10

So, this is an arithmatic sequence.

So, Tn = a1 + (n-1)d

Hence, 10th term of the series,

T10 = 30 + (10-1)10

T10 = 30 + 9*10

T10 = 30 + 90

T10 = 120

For sequence 0, 5, 15, 30, 50, . . .

This is a recurssive sequence

Hence each term of the series is given as,

0

5 = 5*1

15 = 5*(1 + 2)

30 = 5*(1 + 2 + 3)

50 = 5*(1 + 2 + 3 + 4)

.

.

.

.

.

10th term = 5*(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 +  9)

10th term = 225

For sequence 1, 2, 4, 8, 16, . . .

Here common ratio, r = 2

also, Tn = ar^(n-1)

So, T10 = 1*2^(10-1)

or, T10 = 1*2^9

or, T10 = 512

Therefore,

The sequence that has the second greatest value for the 10th term is

 1, 2, 4, 8, 16, . . .

and The geometric sequences in the given sequences is

1, 2, 4, 8, 16, . . .

More about geometric progression :

https://brainly.com/question/14256037

#SPJ2


Related Questions

Instructions: Find the missing angle in the image below. Do not include spaces in your answers.​

Answers

Answer:

im not the best in math but I think its 95 since a line segment is 180 degrees and you add tge two number and subtract what you have

hope this hells

Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will
an artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the
price increase goes into effect

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Answer:

Step-by-step explanation:

We don't know the first price?

Please help I’ll give brainiest!!

A
0.50
B
1
C
3
D
2

Answers

Answer:

D.

Step-by-step explanation:

The slope/rate of change is 2.

2/3x = 24 what does x equal?

Answers

Answer:

x=36

Step-by-step explanation:

X equals to 36
To Step per step look at the picture

What does negative 3 over 5 > −2 indicate about the positions of negative 3 over 5 and −2 on the number line?

Answers

So,

Ignore the negatives and just make them positives.

For now.

Then, you look at 3/5 and say... it's 3 ticks towards the number five,

meaning it's between 4 and 5. After you do that whats happens is you place back the negatives and you have -3/5 and -2.

-2 < 5 and -2 < 4

Meaning it goes more to the left.

I could be wrong but If I'm right please mark brainliest

what is x? in the equation x-21=6

Answers

Answer:

27

Step-by-step explanation:

You would turn the equation around, so it is 21+6=27 and checking, 27-21=6

Answer:

x = 27

Step-by-step explanation:

x- 21 = 6

add 21 to both sides:

x = 27

Check your work by substitution:

27 - 21 = 6

6= 6

x = 27

Please identify the common angles and sides or if there are non. Explain all work please!

Answers

Answers:

Common angles: ΔBGC and ΔGDC

Common sides: ΔGE and ΔAG

A common angle is a triangle that exists in two or both of the triangles.

Here, the common angles should be ΔBGC and ΔGDC.

These two angles are triangles, and they consist in both triangles.

A common side is when two angles have one vertex in the same area.

Here, we see that the common sides are ΔGE, because they intersect.

Another common side we see here is ΔAG, because they also intersect.

Hope this answer helps you!

Re-write the quadratic function below in Standard Form
y = 3(x - 2)2 – 2
Answer: Y=

Answers

if the 2 after the parentheses is a squared, then your answer would be y=3x^2-12x+10. but if it is just a regular 2, your answer would be 6x-y=14
6x−y=14 is the standard form of the quadratic function that you stated.

Choose the symbol that goes in the blank to make the statement true.
163_136

Answers

Answer: 163>136

Step-by-step explanation:

What is the answer to 4x+8+6x+12=85

Answers

Answer:

= 10x + 20

Step-by-step explanation:

If I helped may I get brainliest?

Answer:

x=6.5

Step-by-step explanation:

1. simplify the equation to 10x + 20 +85

2. minus 20 from both sides to get 10x =65

3. divide 10 from both sides

4. x= 6.5

hope this helps!

is so eassy 2 puls 2

Answers

Answer:

4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Help!!!!!!!!! Quick!!!!!

Answers

Right
Acute
Obtuse
Obtuse

Answer:

<A obtuse

<B acute

<C obtuse

<D right

Step-by-step explanation:

3/4x+2/5=4x-1/4x
solve plz
show work

Answers

Answer:

x=− 19/2 -9.500

Step-by-step explanation:

step oneRearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3/4*x+5-(1/4+1/4*x)=0

simplify 1/4

   3        1  1

 ((—•x)+5)-(—+(—•x))  = 0

   4        4  4

end of step one step 2 is to repeat the same thing as step one answer is also same as step one step 3

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 + x                   x + 1

—————  =  —————

  4                         4  

   3               (x + 1)

 ((— • x) +  5) -  ———————  = 0

   4                  4  

send of step 3

step 4                  3  Simplify   —            

                         4

 3                           (x + 1)  ((— • x) +  5) -  ———————  = 0    4                             4    5.1   Adding a whole to a fractionRewrite the whole as a fraction using  4  as the denominator :             5              5 • 4    5 =  —  =  —————             1                4  Equivalent fraction : The fraction thus generated looks different but has the same value as the wholeCommon denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator 5.2       Adding up the two equivalent fractionsAdd the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 3x + 5 • 4                          3x + 20 ——————————  =  ———————     4                                          4  

 (3x + 20)                      (x + 1)  ————————— -  ———————  = 0      4                         4   6.1       Adding fractions which have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: (3x+20) - ((x+1))                                      2x + 19 —————————————————  =  ———————         4                                                           4  

     2x + 19  ———————  = 0          4  

7.1    When a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.Here's how:  2x+19  ————— • 4 = 0 • 4    4  Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.The equation now takes the shape :   2x+19  = 0

7.2      Solve  :    2x+19 = 0 Subtract  19  from both sides of the equation :                      2x = -19Divide both sides of the equation by 2:                     x = -19/2 = -9.500

Rebecca Smith was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 863 points. The number of​ two-point field goals that Rebecca made was 80 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 13 less than the number of​ two-point field goals she made. Find how many free​ throws, two-point field​ goals, and​ three-point field goals Rebecca Smith made during the 2006 regular season.

Answers

Answer:

Number of free throws = 155,

Number of two-points field goals= 168

Number of two-points field goals= 124

Step-by-step explanation:

Let x,y, and z be the numbers of free throws, two-point field goals and three-point field goals she made.

As she scored a total of 863 points, so

x+2y+3z=863...(i)

As the number of​ two-point field goals  that Rebecca made was 80 less than double the number of​ three-point field goals she made, so

2z-y=80

Or y=2z-80...(ii)

As the number of free throws​ (each worth one​ point) she made was 13 less than the number of​ two-point field goals she made, so

y-x=13

-x= 13-y

-x= 13-(2z-80)

-x= 93-2z

x=2z-93...(iii)

Now, put the values from equation (ii) and (iii) to equation (i), we have

(2z-93)+2(2z-80)+3z=863

2z-93+4z-160+3z=863

9z=863+93+160=1116

z=1116/9=124

From equation (ii)

y=2x124-80=168

and from equation (iii)

x=2x124-93=155.

Hence, the number of free​ throws, two-point field​ goals, and​ three-point field goals Rebecca Smith made during the 2006 regular season are 155, 168, and 124 respectively.

Write in simplest form. 12/15 Divided by 4/9

Answers

Answer:

9/5

Step-by-step explanation:

12/15 / 4/9

12/15 * 9/4

108/60

54/30

27/15

9/5

graph the inequality plz help me solve this and explain how plzzzzzz x-y <4​

Answers

Hope the answer I gave you helps!!!!

Answer:

Step-by-step explanation:

first you have to get the inequality to a point where you can actually graph it

to do this you have to get the x to the same side of the less than symbol

you do this like any other equation, subtract x from the left and right sides because whatever you do to one side, you do to the other

this leaves you with -y < -x + 4

you have to multiply the entire thing by -1 because y cannot be negative

this gives you y < x - 4, now you can graph it

because x is isolated you just have to graph y < -4 like so

im not the best at explanations, i apologize

Can you please help me..​

Answers

Answer:

A

Step-by-step explanation:

I think that would make the most since

Answer:

the answer is c

Step-by-step explanation:

Use long division to divide.

691 ÷ 9

Answers

76.7777 because I ask Siri what it was in long division

Answer ⇒

= 76

Step - By -  Step Explanation ⇒

It is not easy to write long division on a laptop as it paper, so I have attached an image from a calculator that I found online.

Which type of transformation is the equivalent of two reflections across intersecting lines?

Answers

Answer:

Rotation

Step-by-step explanation:

Interce
Determine the intercepts of the line.
Y=-9x-14

Answers

Answer:

y= -14        x= -1.556

Step-by-step explanation:

graphing calculator is good  

True or false? You can rely solely upon induction to prove that your conclusion is correct

Answers

Answer:

false

Step-by-step explanation:

Answer:

false you will need more info

Step-by-step explanation:

what is the value of 1+(-7)-(-2.5)?​

Answers

step 1: remove parentheses
1-7+2.5
step 2:simplify 1-7 to -6
-6+2.5
step 3 :simplify
-3.5
the answer is -3.5

What is the image of the point (5,-4) after a rotation of 90° counterclockwise about the origin?​

Answers

Answer:

(4,5)

Step-by-step explanation:

Rotating a point by 90 degrees counterclockwise would make the y become x and switch it's negative/positive value, and make x the y.

Ex: (x,y) would become (-y,x)

is 192 rational , why is it?

Answers

Answer: 192 IS IRRATIONAL. I HOPE THIS ANSWER HELPS.

Step-by-step explanation:

It is an irrational number if it is not a perfect square. Since 192 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 192?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

A rectangular object is 3.0 cm long, 2.0 cm wide, and 4.0 cm high. Calculate the VOLUME of the object?

Answers

Answer:

V = length x width x height

V = 3 x 2 x 4

V = 24 cm^3

A group of 7 people spent $33.50 on movie tickets. They paid $6.50 for each adult ticket and $3.50 for each child's ticket. We would like to determine how many of each type of ticket was purchased. A. Specifically define variables for this system B. Write a system of equations that reflects the relationships described in this situation

Answers

Answer:

Number of Adult tickets = 3

Number of student tickets = 4

Step-by-step explanation:

Let the number of Adults tickets = x

The number of students tickets = y

A. Specifically define variables for this system

x + y = 7...... Equation 1

They paid $6.50 for each adult ticket and $3.50 for each child's ticket.

$6.50 × x + $3.50 × y = $33.50

6.50x + 3.50y = 33.50.......Equation 2

B. Write a system of equations that reflects the relationships described in this situation

x + y = 7...... Equation 1

x = 7 - y

6.50x + 3.50y = 33.50.......Equation 2

6.50(7 - y) + 3.50y = 33.50

45.5 - 6.5y + 3.5y = 33.5

45.5 - 33.5 = 6.5y -3.5y

12 = 3y

y = 12/3

y = 4 tickets

x + y = 7...... Equation 1

x + 4 = 7

x = 7- 4

x = 3 tickets

1/6 and 3/10 simplified ​

Answers

Answer:

They are already simplified..

Step-by-step explanation:

encuentra el numero decimal equivalente a la fracción
7/10
198/100
85/100
45/100
1/4
3/2
3/8
1/9

Answers

7/10 = 0.7

198/100 = 1.98

85/100 = 0.85

45/100 = 0.45

1/4 = 0.25

3/2 = 1.5

3/8 = 0.375

1/9 = 0.11111111    ( goes on forever)        ( sigue para siempre )

Hope it Helps!

¡Espero eso ayude!

PLEASE HELP ME! Check Picture

Answers

Answer:

Are their any options on what to do??

Step-by-step explanation:

-)

If you read 28 pages a hour how many for hours per 1 page

Answers

Answer: 46.7

Step-by-step explanation:

Answer:

1/28

Step-by-step explanation:

[tex]\frac{x}{1}= \frac{1}{28}[/tex]

cross multiply and you get 1/28

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