The first term of a geometric sequence is −8100 . The common ratio of the sequence is −0.1 .


What is the 6th term of the sequence?

Answers

Answer 1

Answer:

-8100 x (-0.1)5

Step-by-step explanation:

Answer 2

The 6th term of the sequence is -0.081.

What is geometric sequence?

A geometric sequence can be defined as the sequence of numbers where any two consecutive terms have the same ratio. This ratio is called the common ratio of the sequence.

Given that,

The first term of the geometric sequence is, a₁ = -8100.

The common ratio is r = -0.1.

The general expression for the nth term is given as,

aₙ = a₁rⁿ⁻¹

Substitute n = 6 to obtain,

a₆ = -8100 × (-0.1)⁶⁻¹

    = -8100 × (-0.1)⁵

    = -0.081

Hence, the 6th term of the given sequence is -0.081.

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Related Questions

The 14 businesses in a shopping center each pay an equal share of the center’s electric bill. This month, they used 2,996 kilowatt-hours of electricity. How many kilowatt-hours must each business pay for?

Answers

214, you divide 2996 by 14

The units of electricity consumed by each of the businesses is given as 214 KWh.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The total units of used electricity is given as 2996 KWh.

Number of businesses are 14.

Then, the electricity used by each can be obtained by following operation as,

Total Electricity unit ÷ Number of businesses

⇒ 2996 ÷ 14

⇒ 214

Hence, the number of units consumed by each business is given as 214 KWh.

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-5.6 > X + 3.6

I need help with my edgeunity

Answers

Answer:

Inequality Form: x < -9.2

Interval Notation: (-∞, -9.2)

Step-by-step explanation:

Each situation below gives an original amount followed by a new amount. Which illustrates the greatest percent of increase?

Answers

Answer:

2) 12 gallons: 15 gallons = 25% increase

Step-by-step explanation:

1) 23 pencils more

23/230 = 10% increase

2) 3 gallons more

3/12 = 25% increase

3) 3 miles more

3/18 = 16.7% increase

4) $9 less

9/12 = 75% decrease

Gary’s gift shop borrowed $3,815 at an annual interest rate of 4% if they owed $1,526 in interest, how many years will it take to pay back the loan?

Answers

Answer:

34.7

Step-by-step explanation:

34.7 is the answer..........

help me please its easy

Answers

Answer:

ITS 4

Step-by-step explanation:

205 R.27

please help me I need the help (with options)

Answers

Answer:

option=d.

hkm=jkl( by vertical opposite angle)

155°=(5x+15)°

155-15=5x

140=5x

140/5=x

28=x

Answer two questions about Systems AAA and BBB:
System AAA \text{\quad}start text, end text System BBB
\begin{cases}-4x-6y=9\\\\3x+y=-4\end{cases}









−4x−6y=9
3x+y=−4

\begin{cases}-4x-6y=9\\\\-x-5y=5\end{cases}









−4x−6y=9
−x−5y=5


1) How can we get System BBB from System AAA?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Replace only the right-hand side of one equation with the sum/difference of the right-hand sides of both equations

(Choice B)
B
Replace one equation with the sum/difference of both equations

(Choice C)
C
Swap only the left-hand sides of both equations

(Choice D)
D
Swap the order of the equations
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No
khan academy

Answers

Answer:

B and Yes

Step-by-step explanation:

Answer:

answer b

yes

Step-by-step explanation:

Simplify the expressions.1 a. –2 t + 5 t – 2 – t
1 b. –5 z + 4 – 4 z2 a. 8 v + 3 – 10 v
2 b. –6 – 6 k – 3 – 7 k
3 a. –6 – 3 w + 4 + 10 w
3 b. 9 s + s
4 a. 6 + 8 b – 1 – 8 b
4 b. 1p + 6 + 5 – 4 p
5 a. 4 x – 3 x + 9 – 6 x5
b. 9 v + 6 v – 2 – 10 v6
a. n + 2 – (–4) n6
b. 6 n – 3 n7
a. –4 x – 4 x + 4 – 9 x7
b. –9 b + (–6) b

Answers

Answer:

1 a.) 2t – 2

1 b.) –9z + 4

2 a.) –2v + 3

2 b.) –13k – 9

3 a.) 7w  − 2

3 b.) 10s

4 a.) 5

4 b.) –3p + 11

5 a.) –29x + 9

b.) 15v – 60x – 2

a.) 25n + 2

b.) –15n

a.) –71x + 4

b.) –15b

Step-by-step explanation:

NOTE: I am kind of confused about the way this question is formatted, so I tried to answer everything I could decipher.

1 a.) –2t + 5t – 2 – t →  2t – 2

1 b.) –5z + 4 – 4z →  –9z + 4

2 a.) 8v + 3 – 10v →  –2v + 3

2 b.) –6 – 6k – 3 – 7k →  –13k – 9

3 a.) –6 – 3w + 4 + 10w →  7w  − 2

3 b.) 9s + s →  10s

4 a.) 6 + 8b – 1 – 8b →  5

4 b.) 1p + 6 + 5 – 4p →  –3p + 11

5 a.) 4x – 3x + 9 – 6x 5 →  –29x + 9

b.) 9v + 6v – 2 – 10x 6 →  15v – 60x – 2

a.) n + 2 – (–4)n 6 →  25n + 2

b.) 6n – 3n 7 →  –15n

a.) –4x – 4x + 4 – 9x 7 →  –71x + 4

b.) –9b + (–6)b →  –15b

Can someone help me answer these 2 questions? the directions on what you do are in the questions. I will give brainliest as thanks for your help!

Answers

Step-by-step explanation:

[5x19=95-33=62] [6x19=114+4=118] [188+62=180] so x=19

pls pls pls pls answer question below

Answers

Answer:

answer is 16

Step-by-step explanation:

5x2x2=20-4=16

Answer:

5

Step-by-step explanation

U do parenthesis 2x2=4 - 4 = 0 and the 5 is left alone

Haley’s anole lizard has a tail that is 7.25 centimeters long. Caleb’s anole lizard has a tail that is 6.17 centimeters long. An anole lizard’s tail is half the length of the lizard. How much longer is Haley’s lizard than Caleb’s lizard?

Answers

they’re trying to throw you off with the ending just do 7.25-6.17 to get 1.08!
7.25-6.17 thank me master

hello please help me

Answers

Answer:

Question 1: square root of 109

Question 2: 2, 1, 1

Question 3: True

Step-by-step explanation:

The square root of 109 is about 10.4 which is greater than 5 and 9.

In the equation a^2 + b^2 = c^2, a and b represent the legs of a triangle and c represents the hypotenuse.

The Pythagorean Theorem states that For all right triangles the square of the hypotenuse is equal to the square of both sides. (a^2 + b^2 = c^2)

enjoy

Pls answer quickly, make sure to answer all parts

Find the area of the region bounded by the line y =3x -6 and line y=-2x+8 and
a) the x-axis. b) the y-axis. c) the line y=6. d) the line x=5.

Answers

Answer:

2.45

Step-by-step explanation:

2x=8 is 2.45

Write the following number as a ratio of two integers.

0.2828282828......

Question 4 options:

A. 9928

B. 28100

C. 2899

D. 28101

Answers

Answer:the answer would be c

Step-by-step explanation: i got it right when i had this question

Alexandra paid $7 to park her car for 3 hours at the parking garage. The garage charges a constant hourly parking rate.

Write an equation that shows the relationship between p, the number of hours parked, and c the cost in dollars

Answers

Answer:

p x c =pc

Step-by-step explanation:

10 is the answer I explained

HELP ON #2 PLEASEEE!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

ok so i think it is H

Step-by-step explanation:

Answer:

H, would be your answer.

Step-by-step explanation:

Solving the equation in the question...

3t - 8 = 4

3t - 8 + 8 = 4 + 8

3t / 3 = 12 / 3

t = 4

So, none of the equations once solved should equal 4, to not be equivelent.

F) 3t = 12

3t / 3 = 12 / 2

t = 4

T is 4 so this is not the right answer

G) t = 4

T is 4 so this is not the right answer

H) t - 8 = 1.33(4/3 in decimal form)

t - 8 + 8 = 1.33 + 8

t = 9.33

T does not equal 4 so this is the correct answer.

J) t = 8/3 + 4/3

t = 12/3

t = 4

In this option T is still 4 so this is not the correct answer.

So, therefore your answer would be H, because it is the only one that does not equal 4.

Hope this helps!

Maybe Brainliest?

Richard spends a total of $105.93 for 3 video games and 2 DVDs. The video games are each the same price, and he pays $12.75 for each of the DVDs. The tax for the purchase is $6.93. How much does Richard pay for each video game?

Answers

32.43 is dvd plus tax subtract from 105.93 is 73.50 divided by 3 video games is $24.50 for a video game

Multiply and Divide Decimals

A family of two adults and three children is going to an water park. Admission is $32.85 for the water park. Admission is $35.85 for adults and $25.60 for children whats the total cost of the family's Admission.
State your answer. Give Details.
If you do you'll get brain!! <3

Answers

Total - $181.35

children - 3 x $25.60 = $76.80
adults - 2 x $35.85 = $148.50

$76.80 + $35.85 + $32.85 (admission) = $181.35

Evaluate the expression 4^3 ÷ (7 − 3) × 2.


20 points!!

Answers

Answer: 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

What is the side length of the square shown Below. Please SHOW your work.

Answers

Answer:

side length = (x+11)

Step-by-step explanation:

area = x^2+22x+121

side length = sq rt (x^2+22x+121)

side length = (x+11)

Answer is (X+11) I believe

Multiply and divide Decimals
Pecans are on sale at $0.95 per pound. Harold buys 0.6 pounds of pecans. How much will the pecans cost?
Answer the Problem.
State your answer.
if u do all this you'll get brain so Take this chance Rise!!!!!! <3

Answers

Answer:

$57

Step-by-step explanation:

the answer is $57 :)

Find the value of in the isosceles triangle shown below.
10
10
8

Answers

Hiiioo I will believe you us a² + b² = c² solve this ( pythagorean theorem ) but I could be wrong but I got 164 as my answer!

Select the best real-world situation that can be represented by 18 + = 19.50. Then solve the equation and describe what your answer represents for the problem situation.

A Mary wants to buy flowers and perfume. She has $19.50 to spend, but has already spent $18 on perfume. How much does she have left to spend on flowers?
B Jane has $19.50 to spend. How many roses can she buy if they are $18 each?
C Rachel earns $18 per hour. How long does it take her to earn $19.50?
D Sarah has $18 in her checking account, but has written a check for $19.50. How much is she overdrawn?


what does c equal ?


A The answer represents how long she has to work to earn $19.50.
B The answer represents the number of roses she can buy.
C The answer represents how much she is overdrawn.
D The answer represents what she has left to spend on flowers.

Answers

D it is d trust me I did the test
yes i wanna drop out so bad

Ummm guysssss ......

Answers

Answer:

12/20

Step-by-step explanation:

The numerator is going down by 1 each time

I hope I helped!!

thank god i found this i needed the answer to the same question

Please help me with my math, should be easy, I will give brainliest

Answers

Answers : check the picture
i’m pretty sure they’re all right

What is the volume of the box if it is scaled down by a factor of 1/10?
Volume is 192

Answers

19.2 I think it is but I don’t know for sure!

Answer:

new volume = 19.2

Step-by-step explanation:

new vonline = scale factor times volume

= 1/10 * 192

= 192/10

= 19.2

please give me brainliest if it is helpful for you

Expand the expression

Answers

Answer:

3x-24

Step-by-step explanation:

3x-3(8)

= 3x-24

if my answer helps please mark as brainliest

Answer is 3x-24.......

Find the domain and range of the following graph.

Answers

Remember that the domain is the set of all the x terms.

So in the graph shown here, notice that the x terms seem to be increasing in both a positive and negative direction and there seems to be no limit to how large or how small the x terms can get. So the x terms can be all positive and negative numbers, including decimals and fractions.

In other words, the x terms can be All Real Numbers.

So the domain is equal to the set of all real numbers or R.

The range is the set of all the y terms.

Notice that all the y terms are less than or equal to 9.

So the range is {y: y ≤ 9}.

Graph each line. Give the slope-intercept form for all standard form equations.

Answers

The answer is Y=-5/2x-7.
The app MathPapa helps with questions like these

the example is how you are supposed to answer, please follow it and do ALL of the things including the check. don't do the examples

Answers

there’s no picture shown
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