Mathematics College

 what is the geometric sequence and the 8th term and the 10th term

What Is The Geometric Sequence And The 8th Term And The 10th Term

Answers

Answer 1

Answer:

The geometric sequence is decreasing by 0.5 * each term

common ratio = 0.5

an equation for this exact sequence would be

50(0.5)^x-1

Step-by-step explanation:

To find the common ratio for a geometric sequence we can divide the previous term value by the next term value

so 50 / 25 = 0.5

and to check we can divide

25 / 12.5 = 0.5

So our common ratio is 0.5

Answer 2

Step-by-step explanation:

Given sequence:

50, 25, 12.5, ...

The first term is 50 and the common ratio is:

r = 12.5/25 = 25/50 = 1/2

The equation:

tₙ = t₁rⁿ⁻¹tₙ = 50(1/2)ⁿ⁻¹

Find the 8th and 10th terms:

t₈ = 50(1/2)⁷ = 0.390625t₁₀ = 50(1/2)⁹ = 0.09765625

Related Questions

I need some help with this

Answers

1st blank: 2x
2nd blank: 4x
3rd blank: 8
4th blank: 16
5th blank: 4

Which function represents a quantity growing exponentially?

A y = 2(0.5)^x
B y = 0.5(2)^x
C y = 2(0.5)^2X
D y = (1/5)^x

Answers

Answer: [tex]ay=2(0.5^{x})[/tex]

Step-by-step explanation:

A y = 2(0.5)^x

You buy a computer for $749 and a printer for $99 You must also
pay sales tax which is 6% of the cost of your purchases. What is the
total amount paid, including sales tax?

Answers

Answer:

$898.88

Step-by-step explanation:

The temperature of a city in Europe dropped from -4°C to -11°C.What was the rise in temperature?​

Answers

Answer:

7 degrees

Step-by-step explanation:


A gift box has the shape of a cube with an edge length of 4.5 in.
What is the volume of the gift box?
Enter your answer in the box.
in3

Answers

Considering the provided information in the given question we have,

A gift box is in the shape of a cube.Length of each edge = 4.5 in

We need to find the volume of the gift box. Since it is in the shape of a cube, we wee need to apply the formula of the volume of a cube. We know that,

→ Volume of cube = l × l × l

→ Volume of cube = 4.5 in × 4.5 in × 4.5 in

→ Volume of cube = [tex] \sf 91.125 \: in^3 [/tex]

Therefore, volume of the gift box is [tex] \bf 91.125 \: in^3 [/tex].

Here is a table that shows students scores for 10 rounds of a video game. What is the median score?






Answers

145 is the median :)

Answer:

145

Step-by-step explanation:

130 + 150 + 120 + 170 + 130 + 120 + 160 + 160 + 190 + 140 = 1470

1470 ÷ 10 = 145

Help asappp pleaseeee

Answers

Answer:

117 degrees

Step-by-step explanation:

Two vertical angles will always equal each other.

So, set up an equation where angle A and angle B equal each other to solve for x:

5x - 3 = 4x + 21

5x = 4x + 24

x = 24

Plug in 24 for x in the expression represent angle A:

5(24) - 3

120 - 3

117

Surface area formula
of a parallelogram prism

Answers

SA=bh (surface area for parallelogram prism)

PLS HELP! URGENT ! 25 POINTS

Answers

Answer:

C

Step-by-step explanation:

which dimensions describe a rectangular prism with a volume of

Answers

Answer:

Square ⬛ ormmmfjdixxjx

The front view of a square pyramid is in the shape of a triangle that
has a base of 30 yards and a height of 40 yards. What is the area
of the front view of the square pyramid?
600 sq yards
0 1200 square yards
250 yards
600 yards

Answers

Answer:

600 sq yards

Step-by-step explanation:

font view as in on triangle

30*40/2 = 600

B*H/2 = area of triangle

what is the sum of the fraction

Answers

Answer:

d) 72/100

Step-by-step explanation:

the first grid is 42/100 so you add the 3/10 which 3/10 is equal to 30/100 the grid is just simplified. Once you add 42/100 and 30/100 it equals to 72/100. Hope this is helps you !

Answer:

72/100

Step-by-step explanation:

There is 40 whole and 30 whole which equals 70. Plus 2 which is 72 so the answer is 72/100

the typical level of a low tide at a beach is the 0 point on a number line

Answers

Answer:

The low tide level is 0, integer as 0

Step-by-step explanation:

The tide is at the numberline point 0, making it at integer 0.

Please let me know if I need to change the answer via comments (pls don't report me)

4 tran ra To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail m with 20 oz of nuts? Show your work. OLUTION metale to make bronz bronz​

Answers

For starters I am not 100% sure of if this is correct I may not understand the quest so bare with me

Answer:

Cherry Trail Mix

Step-by-step explanation:

4 oz of nuts for every 3 oz of dried cherries

5 oz of nuts for every 2 oz of sunflower seeds

- Multpy the amount of nuts in each bag to 20 - Cherry Trail Mix: 4*5=20

Sunflower Trail Mix: 5*4=20

- Now multiply the amount of dried cherries and sunflower seeds by the number used to get to 20

Cherry Trail Mix: 3*5= 15 Sunflower Trail Mix: 2*4=8

- Now add up the amount of oz in each

Cherry: 20+15=35

Sunflower: 20+8=28

35oz > 28oz

ΔRST~ΔUVW. If ST=36 inches, UV=45 inches, and VW=18 inches, what is the length of RS?

Answers

Answer:

hi

Step-by-step explanation:

What is the quotient of 3 divided by 1/2.

Answers

Answer:

6

Step-by-step explanation:

3

===

1

----

2

Multiply numerator and denominator by 2

3          *2

===

1          *  2

----

2

The 2s in the denominator cancel

6/1 = 6 is the answer.

You buy a new backpack that costs $62.00. The sales tax is 6.5%. What is the total amount you need to pay, including tax? ​

Answers

Answer:

$66.03 in total.

Step-by-step explanation:

$66.03 because 6.5% is 0.065 and $62.00 times 0.065 equals $4.03. $62.00 plus $4.03 is $66.03.

Order the numbers from least to greatest 45/11, 4.5, square root of 20, and square root of 45/11 NO LINKS!!!

Answers

Answer:

square root of 45/4, square root of 20, 4.5, 45/11

Step-by-step explanation:

square root of 45/4=3.354

square root of 20=4.47

4.5

45/11=4.9

Does this data determine a linear function?
A) Yes
B) No

Answers

Answer:

A) yes

Step-by-step explanation:

No, it doesn’t, this is not a linear function

simplify the expression: 3 (x + 4) - 2x​

Answers

Answer:

x+12

Step-by-step explanation:

A water storage tank is cone shaped. The radius of the tank is 20 feet and the height of the tank is 35 feet.

Study the figure below...
20 feet...
35 feet...

Which measurement represents the volume of the water storage tank​

Answers

Answer:

50 multiple times an

56009*%56556

Find the area of the shape below. 5yd 7yd

Answers

Answer:

45.99 yd²

Step-by-step explanation:

The square is 5 yd × 7 yd

35 yd²

The circle = 2 × pi × radius

2 × 3.14 × 3.5

21.99115 rounds to 21.98 yd²

Since it is have a circle,

21.98 yd² ÷ 2

10.99 yd²

35 yd² + 10.99 yd²

45.99 yd²

45.99 yd ^^ good luck

I need helpppp plssss anyone I’m not the best at math :/

Answers

Answer:

C

Step-by-step explanation:


If the diameter of a circle is 8, then what is its area and its circumference?

Answers

Answer:

A≈50.27

Diameter = 8

Using the formulas

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·82≈50.26548

Answer:

I think it would be 50.24

Step-by-step explanation:

Here's what I did:

1. Diameter = 8 so radius = 4

2. 4 to the second power is 16

3. 16 × 3.14 = 50.24

I'm not sure if what I did is correct, but I hope this helps! :)

Link= REPORT

Х
5 ft.
8 ft. M
24 ft.

(A) 13
(B) 15
(C) 17
(D) 11

Please someone help!!


Answers

Answer:

I think the answer is c

explanation:

A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is​

Answers

Answer: $192.50

Step-by-step explanation:

wages for 40 hrs + wages for overtime work

$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)

$192.50

Credit: anjalijalan3126

giving brainliest !! easy

Answers

Answer:

1664

Step-by-step explanation:

400x2+480+192x2

Decent amount of points please help! :)

Answers

I think the equation would be Y= 1x -4

True or false a polygon that has four sides and four angles is a pentagon

Answers

Answer:

I think that is false

Step-by-step explanation:

A pentagon has 5 sides

The statement "a polygon that has four sides and four angles is a pentagon" is false.

What is a quadrilateral?

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

A polygon with four sides is known as a quadrilateral, therefore, the statement "a polygon that has four sides and four angles is a pentagon" is false.

Learn more about Quadrilateral:

https://brainly.com/question/13805601

#SPJ2

Need help!! ASAPP!

With number #4


thx <3

Answers

Answer:

Clean and Bright

Step-by-step explanation:

For soapy suds, you would do 13×12, would would give you only 156 sq inches. However, with Clean and Bright, you would do 9×13×8 since it is three dimensional. This would give you 936 cubic inches, meaning it holds the most detergent.

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