Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​

Find A Formula For The Nth Term Of The Geometric Sequence. Assume The N Begins With 1. A1=18, A2=9

Answers

Answer 1

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

[tex]T_n=a_1(r)^{n-1}[/tex]

Here, [tex]a_1=[/tex] First term

[tex]r=[/tex] common ratio

[tex]n=[/tex] number of terms

If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]

Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]

[tex]r=\frac{9}{18}[/tex]

[tex]r=\frac{1}{2}[/tex]

By substituting these values in the formula,

[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]

Therefore, Option E is the answer.


Related Questions

what is the length of side a?

Answers

Answer:

c

Step-by-step explanation:

Find the value of x to the nearest tenth.
7
10
6

Answers

Answer:

2524868254

Step-by-step explanation:

0pork si pana espero haberte ayudado

Find the measure of angle b. PLZ HELP AND SHOW WORK

Answers

Answer:

1) A because of vertical angle theorem (VAT), which means that b=37 degrees

2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees

3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees

4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees

5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees

Please help asap. I can't remember how to work this problem. 50 points.
Find the area of the following shape. You must show all work to receive credit.

Answers

Answer:

Step-by-step explanation:

66 Square Feet I think?

a number y is 15 larger than a positive number x. if their sum is not more than 85, what are the possible values of y?​

Answers

Answer:

y = x + 15 –(1)

x + y = 85

Putting (1)'s value,

x + x + 15 = 85

2x + 15 = 85

2x = 85 - 15 = 70

x = 70/2 = 35

[tex][/tex]

The value of y is 50.

Two simultaneous equations can be formed from the given question:

y - x = 15 equation 1

y + x = 85 equation 2

In order to determine the value of x, subtract equation 1 from 2

2x = 70

Dvidie both sides of the equation by 2

x = 70 / 2

x = 35

Substitute for x in equation 1

y - 35 = 15

y = 35 + 15

y = 50

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Please help. I have no clue and this is due in 15 min. Any help appreciated

Answers

Answer:

the value of x is 9 degree

arc JK =68 degree

arc MJ=112 degree

i think the value of arc LMK is 180 degree(not sure)

Step-by-step explanation:

Hope it helps yuo!!

need help ASAP PLEASEEE
(+105) / (-7)

Answers

Answer:

-15

Step-by-step explanation:

Answer:

the answer is 15 and 0 remainder

Step-by-step explanation:

Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)

Answers

Answer:

-500 (I think)

Step-by-step explanation:

What is 1/2 off of 3.48

Answers

Answer:

2.98

Step-by-step explanation:

1/2 as a decimal is 0.5 so 3.48 - 0.5 is 2.98

Help! Ty in advance

Answers

Answer:

d

Step-by-step explanation:

Helpppp pleaseee :]]

Answers

the temperature at 7 am is what the -5 represents

Help please gotta pass

Answers

Answer:

(59,93)

Step-by-step explanation:

Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer:

4

Step-by-step explanation:

Correct answer: in 44 minutes, he would run 4.8 miles

Select each true statement about this.
A cylinder has a diameter of 18cm and a height of 4cm.
The radius is 12cm
The volume of the cylinder is324 п cm
The volume of the cylinder is1296 п cm
The area of the base of the cylinder is 81 п cm?

Answers

Answer:

The volume of the cylinder is324 п cm

The area of the base of the cylinder is 81 п cm

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = 18/2 = 9

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

n x (9^2) x 4 = 324n

Area of the base of the cylinder : Area of a circle = πr² =  π x 9^2 = 81 π

Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did each person invest?

Answers

Answer:

See the detailed answers below

Step-by-step explanation:

Given data

Ratio=  1:4:7

combined ratio= 1+4+7= 12

Total amount= $636,000

Apply the part to all method

The first person will take

1/12= x/ 636,000

cross multiply

12x= 636,000*1

x= 636,000/12

x= 53000

The second person will take

4/12= x/ 636,000

cross multiply

12x= 636,000*4

x= 2544000/12

x= 212000

The third person will take

7/12= x/ 636,000

cross multiply

12x= 636,000*7

x= 4452000/12

x= 371000

Pls help will mark brainliest

Answers

answers
a) 55
b) 8
c) 3

Which number line shows the solution to this inequality??

Pls help it’s very easy !!

Answers

The correct answer is C.
the answer is c. hope it helps

Solve the system of linear equations.
2x + 3y = 5
X+ y = 5

Answers

X=4,y=1........!!!!!! Hope this helps

Answer:

Step-by-step explanation:

(10,-5)

A small auditorium can seat 320 people. Which inequality best represents the number of
people, p, who can sit in the auditorium?
p> 319
p < 321
P> 320
p<319

Answers

Answer:

p 320

Step-by-step explanation:

Which set of ordered pairs can be used to graph the equation y = x – 2

Answers

Answer:

X  Y

0  -2

1   -1

PLEASE MARK BRAINLEIST THANK U

On a map 1 inch equals 5.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?

Answers

Answer:

7.8 miles.

Step-by-step explanation:

5.2 x 1.5 = 7.8

What is the distance between two points(0,0)(-3,5)

Answers

Step-by-step explanation:

Think of it like a right triangle. Do you have a graph handy?

Ok, graph both of the points. Now connect the points. That's our hypotenuse and the side length we want to find.

Now, bring down a line from (-3,5) to the x axis. Do you see a right triangle?

All we have to do is find the hypotenuse of this right triangle we just drew. We already have the leg lengths which are 3 and 5. Using this, do the pythagorean theorem.

9+25=34

√34 is our hypotenuse & distance between the points

Answer:

[tex]\displaystyle d = \sqrt{34}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 0)

Point (-3, 5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(-3-0)^2+(5-0)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(-3)^2+(5)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{9+25}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{34}[/tex]

simplify 6p/p-1 - p+5/p-1

Answers

Answer:

-(p+1) (p-5)/ P

Step-by-step explanation:

How many glasses like the one shown can be filled three quarters full from a pitcher holding 150 cubic in ches of water.

Answers

Answer:

6

Step-by-step explanation:

I had this question

Question 15 (1 point)
A teacher has a bag of marbles. There are 10 red, 10 blue, 8 green, 8 purple, and 8
yellow marbles in the bag. As the students enter the classroom, they draw a marble
and keep it. If the first student in the room draws a yellow, and the second draws a
blue, what is the probability that the third student will draw a green?
19%
O 21%
15%
17%
Previous Page
Next Page
Page 15 of 16

Answers

Answer:

19%

Step-by-step explanation:

(8/42) * 100 = 19%

Thenks and mark me brainliest :))

Answer:

The probability that the third student will draw a green is 19%.

Step-by-step explanation:

Definition of Probability Probability means possibility of  occurrence. It is a branch of mathematics which deals with the occurrence of particular event out of some  random events.

Given marbles 10 red, 10 blue, 8 green, 8 purple, and 8 yellow marbles .

Therefore total marbles will be 44.

Since the first student in the room draws a yellow, and the second draws a blue ,thus remaining marbles will be 42.

So, the probability that the third student will draw a green is [tex]\frac{8}{42}[/tex]×[tex]100\\[/tex] = 19%

click here to know more about the probability.

https://brainly.com/question/24756209

#SPJ2

Solve this riddle I come in lots of colors and I can swallow a 1000 sheep what am I?

Answers

Answer:

A dragon maybe?

     

Step-by-step explanation:

1.   What are the answer choices??

I say a dragon because a dragon comes in different colors and looks big enough to swallow 1000 sheep.

Could you be more specific???

solve the equation using the quadratic formula

2n^2+3n=-54

a) {4,-9}
b) {6,-2}
c) {9,-3}
d) {-4 1/2, 6}

Answers

Answer:

Step-by-step explanation:

Rewrite this quadratic equation in standard form:  2n^2 + 3n + 54 = 0.  Identify the coefficients of the n terms:  they are 2, 3, 54.

Find the discriminant b^2 - 4ac:  It is 3^2 - 4(2)(54), or -423.  The negative sign tells us that this quadratic has two unequal, complex roots, which are:

     -(3) ± i√423        -3 ± i√423

n = ------------------- = ------------------

             2(2)                      4

4
20.9÷10
10 points pls help

Answers

Answer:

SO first we need to get our numbers.

WE see 20.9 and 10.We learned in school that when

you multiply decimals itll show the placr its in.

So it basically shows you the answer.

Now lets divide, 20.9 divided by 10=2.09

Hope this helped my g!

Step-by-step explanation:

You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05

Answers

They are expected to win back on average 50 cents back, which is a bad investment.

Expand (2+x)(2-x). If necessaty combine like terms

Answers

Answer:

Step-by-step explanation:

(2+x)(2-x)

2(2-x)+x(2-x)

4-2x+2x-x^2

4-x^2

Other Questions
PLEASE I NEED HELP!!!!!!!!!The equation y=25x represents Latanya's earnings in dollars and cents, y, for working x hours. Find the rate of change. PLEASE HELP!! Find mCFD18027630753 NEED THE AGE OF HIDESituation: A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. N = Noe No = inital amount of C-14 (at time t = 0) N = amount of C-14 at time t k = 0.0001 t = time, in years What movement were the Black Panthers a part of? Joseph is an engineer at a construction firm. He has been given the task of developing engineering drawings for a few metal pieces used by the firm. These metal pieces have a slanted surface area. Joseph has developed orthographic projections. What should the lines he used to create the auxiliary view appear as in the finished view?A. object linesB. construction linesC. reference linesD. projection lines NEED HELP the answers are 42 days30 days180 days24 days365 days6 days This is confusing someone please help Help me with this.thank you Which has a greater kinetic energy, a truck, or a train. Solve: 2^x-3= 1/8 (and if you can, put a step by step. you don't have to though) HELP! 1. Rome was tolerant of other religions in the empireA. TrueB. False2. Which sentence describes the Romans' view of religion?A. They had a small number of gods and goddesses and prayed all the time.B. hey had many gods and goddesses and didn't know which actually existed.3. Why would Rome ban a religion?4. Why were the Jews upset at the Romans?5. Why did the Romans consider Judaism a threat? compose a 6 stanza poem 4 lines per stanza about the importance of having first aid and safety awareness please help me Greg has a piece of wire that is 72 inches in length. If 12 inches equals 1 foot, what is the length of wire in feet?A. 84 feetB. 60 feetC. 6 feetD. 864 feet Find the Missing Angle) YALL PLEASE HELP 7TH GRADE MATH THIS MAKES NO SENSE .A jogger with a mass of 81.6 kg is moving at 2.2 m/s. What is the jogger'skinetic energy On the way home from her friend's house Sandy skateboards 30% of the way, walks 1/2 of the way, and then skips the rest of the way. Which decimal number shows the portion of the distance Sandy skips? Cu+k.HNO3 --> Cu(No3)2+..........+........... Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides Help- pleaseThe school that Scott goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 4 student tickets for a total of $177. The school took in $73 on the second day by selling 1 adult ticket and 4 student tickets. Find the price of an adult ticket and the price of a student ticket.Price of an adult ticket $Price of a child's ticket $ Joni, a college student, has $400 worth of expenses monthly. How much should she save be financially secure?