A geometric sequence starts with 10, 5, . . . Explain how you would calculate the value of the 100th term.

Answers

Answer 1

Answer:

The 100th term will be;

10(0.5)^99

Step-by-step explanation:

Firstly, we need the common difference and the first term

The first term is 10

The common difference is 5/10 = 1/2

Now, the formula for the nth term of a geometric sequence is;

ar^n-1

So, for the nth term, we have;

ar^(100-1)

= ar^99

So we have

10(1/2)^99


Related Questions

What is the cube root of 27?

Answers

Answer:

3

Step-by-step explanation:

3 cubed is 27.

Answer:

The answer is 2.88

Find the measures of the interior angles of the triangle.

Answers

Answer:

A=45

B=110

Step-by-step explanation:

Interior angles of a triangle add up to 180.

So, do 180-25=155.

Then, 155-65=90.

90 divided by 2 is 45.

x=45 so B is 45+65, which is 110.

Tom can place 12 eggs per crate.How many eggs must be in 1 crate?

There are 8 rooms in a house.Each room has 1 bed.How many beds are there in total?

In an country,each state has 1 minister.How many Minister are there,if there are 20 states in that country?

Sam works in a coffee and earn $20 per hour.how he earns in a particular day when he works for 1 hours only?

complete it (picture)​

Answers

1. If he can place 12 eggs in each crate then are 12 eggs in one crate. (12 x 1 = 12)

2. If there are 8 rooms in a house, each with one bed then there are 8 beds in total. (8 x 1 = 8)

3. There are 20 ministers. ( 20 x 1 = 20)

4. If Sam earns $20 per hour, and he works one hour he will earn $20. (20 x 1 = 20)

which is more 1756 yards or 1 mile?

Answers

Answer:

1765

Step-by-step explanation:

hope this helps

1756 i am pretty sure

At a book fair, Scott bought a $4 tote bag and some books for $2 each. If he writes a linear function relating the number of books that he
bought to the total amount that he spent, which will represent the rate of change in the equation?

Select one:

the cost for one book

the total amount spent

the number of books bought

the cost of all the books bought

Answers

Answer:   The total amount spent!

Step-by-step explanation:

So if you wanted to know how much he spent on books then you already Know the tote bag cost 4$ Then the books he bought cost 2$ each so that is why you need to know the total amount spent!

A system of equations is graphed on the set of axes below. у The solution of this system is 10.4) 0 12.4) 18.00​

Answers

Answer:8

Step-by-step explanation:

2h divided by15 = 20

Answers

Answer:

[tex]h=150[/tex]

Step-by-step explanation:

[tex]\frac{2h}{15}=20[/tex]

[tex]\frac{2h}{15}*15=20*15[/tex]

[tex]2h = 300[/tex]

[tex]\frac{2h}{2}=\frac{300}{2}[/tex]

[tex]h=150[/tex]

please help
Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2 . (1 point)


2 square root of 8

8 square root of 2

8 square root of 6

6 square root of 8

Answers

Answer: 8√2

explaination:   all have a √2 so just do 4+7-3=8 so the answer is 8√2.

Round 6.443 to the nearest hundredth.

Answers

6.44 hope this helps

Answer:

6.44

Step-by-step explanation:

Since, there is a 4 in the hundredths and in the thousandths place there is a 3, then the answer should round off to 6.44 because you only round the 4 up to a 5 if the number in the thousandths place is 5 or greater.

Hope this helps!

A flower shop ordered a shipment of red, blue, and white flowers. The ratio of red: blue: white flowers in the shipment is 3: 1: 2.There are 60 white flowers in the shipment. How many flowers are in the shipment.
A.120 flowers
B.180 flowers
C.240 flowers
D..360 flowers

Answers

Answer: A

Step-by-step explanation: this is to easy

The total number of flowers in shipment is 180.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

The ratio of flowers,

red: blue: white = 3:1:2

Let red flowers are 3x,

Red flowers are x,

and white flower are 2x.

Therefore, total number of flowers = 3x+x+2x = 6x

Given that,

The total number of white flowers = 60

⇒2x = 60

x = 30

Total number of flowers = 6x = 6×30 = 180

There are 180 flowers in the shipment.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

What is the probability of the spinner landing on a solid
section?
explanation please

Answers

Answer:

1/6 chance

Step-by-step explanation:

It's a 1/6 chance because there are 6 sections and if the lander just happens to land on a solid section which is only 1/6 of the whole circle it would have a 1/6 chance of landing on the solid color.

Which number is a factor of the prime factorization of 60


1. 6

2. 15

3. 9

4. 3

Answers

Answer:

answer is »»»4. 3

Step-by-step explanation:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

What is the equivalent expression to t+4+3-5t

Answers

Answer:

-4t + 7

Step-by-step explanation:

t + 4 + 3 - 5t = -4t + 7

Combine like terms

5 star, thank, and brainliest if helpful!

Round 19 and 17 to the nearest tenth

Answers

Answer:

They both would be 20

Help me graph pleaseee

Answers

Go by to the 3 on the x line then go up by 4 there's your answer

You should get (3,4)

Graph 3 first

Which decimal is equivalent to 26/80

Answers

Answer: 0.325

calculator :)

Answer:

.325

Step-by-step explanation:

All you have to do is divide 26 into 80 and you get .325!

I hope this helps and have a great day!

in 4,891.26 in which place is the 8

Answers

it’s in the hundred thousandths place

Answer: I hope this will help too.

Its in the place of hundred

What type of line is y = x?

Answers

Answer:

A slanted line slanting right on the graph

Step-by-step explanation:

It’s c

help me plzzzzzzzzzzzzzzzzzz

Answers

Answer:

Regular

Step-by-step explanation:

If all of the sides are the same on any shape is regular.

By estimating the line of best fit which value is the best estimate for how many cars will be sold tomorrow

Answers

Answer: 30

Step-by-step explanation: when you look at the x value of 9, the y value on the best fit line would be 30

Answer:35 cars

Step-by-step explanation:

9 divided by 35 cars each person will sell at least 3 cars

if you do not know please do not answer. you are going to set me up for failure if you do.

Answers

Using the Pythagorean theorem AC is equal to the sqrt of 242. I have helped with the best of my ability

Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:

2,020 − 22m

What does the second term of the expression represent?

The number of months Megan will wait to sell the gadget
The original value of the gadget
The monthly depreciation value of the gadget
The total depreciation value of the gadget

please explain for brainliest

Answers

Answer:

"The number of months Megan will wait to sell the gadget."

Step-by-step explanation:

It says in the original question, "She plans to sell it sometime in the future, however, its value depreciates monthly."

This means that the value depends on the number of month she holds on to it. Hence, the variable with which the value is attached, is the number of months.

So in the equation  ,  represents the number of months Megan holds on to the gadget.

Answer:

The monthly depreciation value of the gadget

Step-by-step explanation:

i did the test and this is the right answer c. not A

(GIVING BRAINLIEST!!!!!!)

How many fish can be kept in a 10-liter aquarium if each fish requires one third of a liter of water?

A) 30 fish
B) 1/30 fish
C) 13 fish
D) 1/13 fish

Answers

Answer:

A) 30 fish

Step-by-step explanation:

1/3 can be put into 1 three times

3 x 10 liters = 30 fish

Answer:

30

Step-by-step explanation:

10 liters of water divided by 1/3 is the equation

first you imply keep ,change ,flip

keep the 10/1 change the division sign to multiplication and flip 1/3 to 3/1

everything changed should be 10/1 times 3/1 and that equals 30

write an equation in slope- intercept form (y=mx+b) slope: -1 y-intercept:0​

Answers

Answer:

y=0x-1

Step-by-step explanation:

mx is our slope, while our b is always going to be our y intercepts

The model represents and equation. What is the solution for this equation? Also please explain how to do this

Answers

Answer:

3x+6=9

Step-by-step explanation:

there is three 3 boxes so i guess it means three

and there are 6 ones so im pretty sure its 6

and on the other side is 9 ones so it's nine? try it

F(x)=-2x+2 find f(6)

Answers

Answer:

(6,-10)

Step-by-step explanation:

(-2*6)+2=-10, and the 6 is the X value, the -10 is the Y value.

Answer:

f(6) = -10

Step-by-step explanation:

Plug in 6 for x in the given equation:

f(x) = -2x + 2

f(6) = -2(6) + 2

Remember to follow PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, multiply. Note that when you are multiplying one negative number and one positive number together, your answer will be negative:

f(6) = -2(6) + 2

f(6) = (-2 * 6) + 2

f(6) = (-12) + 2

Next, simplify. Subtract:

f(6) = -12 + 2

f(6) = -10

-10 is your answer when f(6).

~

graph of a function is alone that passes through the points (0,1) and (3,10) write an equation in the form y=Mx+b. For this function

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

(0,1) so that is the b

the rate of change is 9/3 so the m is 3

A blueprint of a house shows a wall that is 5 inches long. If the blue pretty strong to a scale of 1:60, what is the actual width of the wall in the house

Answers

Given:

A blueprint of a house shows a wall that is 5 inches long.

The blue pretty strong to a scale of 1:60.

To find:

The actual width of the wall in the house.

Solution:

The blue pretty strong to a scale of 1:60.

It means, the dimensions of blueprint to the actual house is 1:60.

Width of a wall in blue print = 5

Let the actual width of the wall in the house be x.

[tex]\dfrac{5}{x}=\dfrac{1}{60}[/tex]

[tex]5\times 60=1\times x[/tex]

[tex]300=x[/tex]

Therefore, the width of the wall in the house is 300 inches.

Question Progress
24 Marks
If x = 2 and y = 5, work out the value of
a) 10x - 3y
b) 3x^2 + 2y^2
hint:A is 5 but I can't work out B​

Answers

Answer:

b=62

Step-by-step explanation:

3(2)^2+2(5)^2

3*4+2*25

12+50=62

Assume that y varies directly with x. If y = 16 when x = 8, find y when x = 5.
Write and solve a direct variation equation to find the answer.
y =​

Answers

Answer:

Step-by-step explanation:

5y + x = 25

Subtract x from both sides when x = 5

5y + x - x = 25 - x

5y = 20

5y/5 = 20/5

=4

Y=4

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