Find the nth term of the geometric sequence.

Find The Nth Term Of The Geometric Sequence.

Answers

Answer 1

[tex]a_2 = ar^{2-1} =ar = 6~~ ...(i)\\\\a_4 = ar^{4-1} = ar^3 = 2186 ~~....(ii)\\\\\\(ii)\div (i):\\\\\dfrac{ar^3}{ar} = \dfrac{2186}6\\\\\implies r^2 = \dfrac{2186}6 = \dfrac{1093}3\\\\\implies r = \pm \sqrt{\dfrac{1093}3}\\\\a= \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}}\\\\\text{nth term} = ar^{n-1} = \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( \pm{ \sqrt{\dfrac{1093}3} \right)^{n-1} = \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( { \sqrt{\dfrac{1093}3} \right)^{n-1} \\\\\\[/tex]

[tex]= 6\left(\dfrac{1093}3 \right)^{\tfrac{n-2}2}[/tex]

Answer 2

Answer:

aₙ = (6/19)*19ⁿ⁻¹

Step-by-step explanation:

Given:

a₂ = 6a₄ = 2166

Equation of nth term of GP:

aₙ = a₁rⁿ⁻¹

Substitute for 2nd and 4th terms:

a₂ = a₁r = 6a₄ = a₁r³ = 2166

Substitute the value of a₂ into a₄ and find the value of r:

a₁r³ = a₁r * r² = 6r²6r² = 2166r² = 2166/6r² = 361r = √361r = 19

Find the first term:

a₁r = 6a₁*19 = 6a₁ = 6/19

The equation of nth term is:

aₙ = (6/19)*19ⁿ⁻¹

Related Questions

Need help please to this question

Answers

Answer:

c

Step-by-step explanation:

x=slope

y=intercept

The slope is put in front of the x and then you would add the y intercept.

Answer: c. y = -3x + 4

HELP!

due tommorow , KS3 year 8

Answers

Answer:

Perimeter = (Length + Width)×2

=(17.8cm + 4.6cm)×2

=(22.4 × 2)cm

= 44.8cm

Simplify the linear expression.

−5/3a+1/8−1/6a−1/2

Enter your answer as simplified fractions in the boxes.

PLEASE HELP

Answers

12/23 is the right answer

Choose the correct answer below

Answers

Answer: B.

Step-by-step explanation:

brainliest me

Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21

Which statement best describes the process used to solve the equations?

O In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality

O In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.

O The process is exactly the same for solving the equation and solving the inequality

O The process for solving the equation is entirely different from solving the inequality.​

Answers

the first one
you would use elimination to solve.

la quinta parte de 20​

Answers

Answer:

4

Step-by-step explanation:

20/5 = 4

2^x+2=4081
Solve the following exponential equation

Answers

x=11.99399979
easy peasy

Which of the following does not describe slope?

Answers

Answer:B is correct.

Step-by-step explanation:

Slope is a rate of change, so A is correct. Slope can be found on a graph by counting the vertical change (rise) over the horizontal change (run);

The first answer choice does not describe slope.


The rest of the answers say that slope is a constant rate of change, a proportional relationship, and a measure of change. Which are all true. The only one that doesn’t quite line up to what slope means is the first answer choice (a line joining points)

An octopus weighed 3 5/6 kilograms.After two weeks,its weight was increased by 1 4/5 kilgrams.But afterwards,it got sick and lost 2 7/15 kilograms.what is the current weight?​

Answers

I think it's 3 1/6 kilograms

Step-by-step explanation:

3 5/6 + 1 4/5 since it increased

find the LCD (Least Common Denominator)

that would be 30

3 25/30 + 1 24/30

=4 49/30

= 5 19/30

Then we do subtraction since it lost some weight

5 19/30 - 2 7/15

find LCD again

5 19/30 - 2 14/30

=3 5/30

simplify

3 1/6 kilograms. That's what I think.

There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?

Answers

Answer:

just figure it out or just search it somewhere on the brainly app for the answer :)

Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?

I WILL MARK YOU A BRAINLIEST​

Answers

Answer:

25-10  (25 - A and 10 - B)

Step-by-step explanation:

25 - 10 equals the 15 point margin

25 plus 10 equals the 35 point score combined

Hope it helps

Answer:

25 to 10

First of all, you'd have to write an equation.

            35                   =       (x+15)        +    x

total number of points       Team A         Team B

Subtract 15 from both sides.

20 = 2x

Divide.

20/2 equals X=10

Then you would add 15 to 10 and that would be Team A's score, therefore 25, Team B's is 10.

The sum of two numbers is 48. One numner is 3 times the other. Find the numbers.

Answers

Answer:

16 and 3?

Step-by-step explanation:

48÷3=16

hope this helps

Answer:

12 & 36

Step-by-step explanation:

According to the statement:

[tex]x+y=48[/tex]

[tex]x=3y[/tex]

Replace x= 3y:

[tex]3y+y=48[/tex]

[tex]4y=48[/tex]

[tex]y=48/4=12[/tex]

Then:

[tex]x=3y=3(12)=36[/tex]

Hope this helps


What is the key difference between simple interest and compound interest, and how does this difference affect the
effectiveness of each?

Answers

Answer:

the answer is

Step-by-step explanation:

The simple interest is calculated only on the principal amount of a loan so it is relatively easier to calculate than the compound interest. The compound interest is calculated on the principle amount plus the interest that the amount gets per compounding period up to the period of the loan.

pls help quick Jack is selling lemonade at a stand outside his house. He is charging $1.50 per cup. He needs to make at least enough money to cover the cost of his supplies, which were $15.25. has anys 192 What is the minimum number of cups of lemonade Jack needs to sell?​

Answers

Answer:

11 cups

Step-by-step explanation:

1.50x10=15 and that wouldn't be the answer because, he needs to cover all of his supplies.  1.50x11=16.5, and that is enough money to cover all of his supplies. So he would need 11 cups total.

Find the values of x and y.

X =
y =

Answers

Answer:

y=5

x=45

Step-by-step explanation:

I am not quite sure of x but I am positive for the value of y

how long is the shadow the tree casts?

Answers

Anwser: 12 feet long

1. A ride descends from 100 meters straight down to 0 meters. The distance from the ground at any time is represented by the graph. The slope of the line is -4/5 between 0 and 125 seconds. How far did the ride descend in the time indicated by the marked vertical distance on the graph? (Orange line)






2. A car travels at a rate of 65 mph on a flat highway. How long did it take the car to get from a distance of 123 miles to 318 miles on its journey? (purple line)

Answers

9514 1404 393

Answer:

12 m3 hours

Step-by-step explanation:

1.

The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...

  (change in distance)/(15 s) = -4/5 m/s

  change in distance = (-4/5 m/s)(15 s) = -12 m

The ride descended 12 meters in the time indicated on the graph.

__

2.

Again, the slope is "rise"/"run".

  65 mi/h = (318 mi -123 mi)/(travel time)

  travel time = (195 mi)/(65 mi/h) = 3 h

The car took 3 hours to get from 123 miles to 318 miles.

In fast will give brainly

Answers

☆Answer :

= 1 × ⅔ × 5/3

= ⅔ × 5/3

= 10/9

= 1 1/9 ft³ (D.)

A dealership is allowing residents to test drive the following vehicles: 2 sports cars, 3 vans, and 3 trucks. If you select a random car to test drive, what are the odds it is not a sports car? Write your answer in the form a:b as a fully reduced ratio.

Answers

It would be 2:8- 1:4

Answer:3:1

Step-by-step explanation:

There are 2 sports cars out of a total of 8 total cars, so there are 2 favorable outcomes, and 8−2=6 unfavorable outcomes.

The odds against choosing a sports car are 6:2.  

Both numbers are divisible by 2, so this ratio can be simplified to 3:1.

Which fractions are equivalent to 1012?

Select each correct answer.




​23​

​56​

​1224​

​3036​

​5060​

​6084

Answers

Answer:

5/6, 30/36, 50/60

Step-by-step explanation:

10/12 divided by 2= 5/6

10/12•3= 30/36

10/12•5= 50/60

A teacher printed 730 copies how long did it take to print

Answers

Answer:

Can you provide how long it took to print per copy

Step-by-step explanation:

Answer:

it will take him 50 min because their are 730 and that is lot so it will take him 50min

If ΔPQR ≅ ΔTSR, what are the congruent corresponding parts?

Answers

Answer:

If ΔPQR ≅ ΔTSR

Angles:

P and T

Q and S

R and R

Lines:

PQ and TS

QR and SR

PR and TR

is the function linear or not

Answers

☆Answer :

Linear.

[tex] \rm {6x}^{2} = 12[/tex]

[tex] \rm {x}^{2} = 12 \div 6[/tex]

[tex] \rm {x}^{2} = 2[/tex]

[tex] \rm x = \sqrt{2} [/tex]

Point One = (0, -2) = Point Two = (-3, -5)
write in slope intercept form​

Answers

Answer: m=1

Step-by-step explanation:

Use the equation y=y2-y1 over x2-x1

1.  label your points

     0=x1

     -2=y1

      -3=x2

       -5=y2

The first pair is x1 and y1 and the next pair is x2 and y2

plug in the numbers to find your answer

Given the function h (x) = –22 - 4, the value of h(-5) would be?

Answers

Answer:

At the value of x = 3 the function H(x) is undefined. (answer is 3)

Step-by-step explanation:

h (x) = 1/(x-5)2 + 4 (x-5) +4

Solution :

We know that for the values of x where denominator is zero the function H(x) is not define.

(x -5)2 +4 (x -5 ) +4 = 0

x2 -6x +9 =0

x2 - 3x - 3x +9 = 0

(x - 3)2 = 0

So x= 3

At x = 3 the function H(x) is undefined. (3 is your answer)

what is the sum of the 5th cube number an the 2nd cube number

Answers

Answer:

i think it is :

5×5×5=125

2×2×2=8

odd numbers between 20 and 46 that are mutiples of 3

Answers

Answer:

h

Step-by-step explanation:

h

Answer:

they should be 21 27 33 39 45

Step-by-step explanation:

:)

if 1/2x + 6 = -x -3, what is the value of -2x?

Answers

Answer:

12

Step-by-step explanation:

Hi there!

We are given the following equation:

1/2x + 6 = -x-3

And we want to find the value of -2x

First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x

Start by adding x to both sides to remove -x from the right side

1/2x + 6 = -x -3

+x            +x

_______________

3/2x+6=-3

Subtract 6 from both sides to remove it from the left side

3/2x=-9

Multiply both sides by 2/3 in order to clear the fraction

x=-6

Now substitute -6 as x into -2x

-2x

x=-6

-2(-6)=12

Hope this helps!

What is the slope of the line that passes through each pair of points in (-4,-1),(-4,-5)

Answers

So to start off you subtract y2 - y1/x2 - x1. This should look like -5 - -1/ -4 - -4. Now you do the math and you should get -4/0. Therefore the slope is undefined.

find ()
(x).
For f(x) = 4x +1 and g(x) = x2-5, find
BRAINLIST

Answers

Answer: answer is C

Step-by-step explanation:

I got C for the answer
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