The sum of the first nine terms in a sequence is 49,205. Each term is 3 times the previous term. What is the third term?

Answers

Answer 1

Answer:

       a₃ = 32 805

Step-by-step explanation:

Each term is 3 times the previous term:  

                                                                r = 3

The sum of the first nine terms in a sequence is 49,205:

                                                      [tex]S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5[/tex]

What is the third term?

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805[/tex]


Related Questions

Need help with the answer

Answers

Answer:

volume of cylinder=pi×r²×h

volume of cylinder =3.14×(11ft)²×10ft

volume of cylinder=3799.4ft³

If you flip two coins, what is the probability that both will be heads?

Answers

Answer:

1/2 x 1/2 = 1/4

Step-by-step explanation:

P(H,H) = 1/2 x 1/2 = 1/4

P(T,T) = 1/2 x 1/2 = 1/4

P(H,T) = 1/2 x 1/2 = 1/4

P(T,H) = 1/2 x 1/2 = 1/4

A group of students were asked if they like Math class and if they like English class.
Partial results are shown in the table.
Like Math
Don't Like Math
Like English
х
9
Don't Like English
26
у
.
Of the students who like math, 40% don't like English.
Of the students who don't like math, 75% don't like English
What is the value of x + y?
A. 35
B. 57
C. 65
D. 66

Answers

a if that’s wrong i’m vv sorry
Yea I’m pretty sure the answer A

Is the cost of candy proportional to pounds of candy?

Answers

Answer:

Step-by-step explanation:

Yes

Answer:

yes because for every pound it is $3

Step-by-step explanation:

i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30

Classify the following expression by degree and number of terms. 6 - 3x - 2

Answers

Answer:

in terms of degree it is linear equation

in terms of number of terms it is binomial

Answer? Please help!!

Answers

Answer:

true

Step-by-step explanation:

A number of days, d, of sunshine is not 28.

Answers

Answer:

D<28

Step-by-step explanation:

The required inequality for the given situation can be, d > 28 or d < 28

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, write an inequality for the situation.

Situation :-

A number of days, d, of sunshine is not 28.

Here, the number of days is said to be not equal to 28, we are not given if is less or more,

It can be less or more than 28 but not 28

So, here we get two situations,

Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.

If we write these situations, mathematically, the inequalities we will have, are :-

1) The number of days, d, of sunshine is less than 28 :-

d < 28

2) The number of days, d, of sunshine is more than 28 :-

d > 28

Therefore, the two inequalities, are :- d < 28 or d > 28

Hence, the required inequality for the given situation can be, d > 28 or d < 28

Learn more about Inequalities, click;

https://brainly.com/question/30228778

#SPJ2

The complete question is :-

Write an inequality for the situation.

A number of days, d, of sunshine is not 28 .

pls help i’m so confused omg!!

Answers

Answer:

C or B

Step-by-step explanation:

Answer:

Your answer is A.

Step-by-step explanation:

You can count the arrow lines as the 2s. Such as, 2, 4, 6, 8 and 10.

So, the line 'x' is being divided by how many lines touching it.

Therefore, it is 1.

Then you add x and 6, the number which the line is ending with.

Your final answer is, F(x) =      1      

                                                x+6

Hope this helped!

       

PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!

Answers

Answer:

it is A

Step-by-step explanation:

i remember doing this in middle school.

.2 How many millilitres of chutney are needed?

Answers

Answer:

Step-by-step explanation:

In this scenario, You've asked about the Chutney (Sauce/Raita).

Ok, So let's suppose you are making a "Chutney"

The first you need is the right amount of ingredients.Their quantity and they must be fresh "To make every effort of yours worth it!"Add it into a bowl or a dish that you have at the time (Or a big one to be on the safe side)At the end mix the ingredients well, So that they don't spoil taste of the one who is taking it.

The amount of milliliters (Weight measurement) depends upon the amount of usage/intake that one is taking.

It could be a few hundred (gms. or some Kg's).

That totally depends up on your choice

Find the slope of the line?

Answers

Answer:

m=3/4

Step-by-step explanation:

First, let us remind ourselves of the slope formula: m=rise/run=([tex]y_{2}[/tex]-[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])

Let's pick two points from the graph to work with. Let's do (3,-6) and (-1,-9).

And let 3=[tex]x_{1}[/tex], -6=[tex]y_{1}[/tex], -1=[tex]x_{2}[/tex], -9=[tex]y_{2}[/tex].

1. Substitute the values into the slope formula: [-9-(-6)]/(-1-3)

2. simplify the expression: [-9-(-6)]/(-1-3)=(-9+6)/-4=-3/-4=3/4

3. As a result, the slope of the line is 3/4

the area of a rhombus is 24 square inches. What is the are of a similar rhombus that is 7 times as big?

Answers

Answer: 1176

Step-by-step explanation: 7 times as big is an ambiguous term; it could mean that each side is 7 times larger, or that the shape as a whole is made 7 times larger. We'll assume that each side is made larger, because that is typically the type of question asked. The area is given as base times height, and obviously, if you dilate the non-base side by 7, the height will also become 7, because those two lines from a triangle with the third side being the base extended. I wish I could draw you a diagram but i can;t. Either way, think of it as a square, and if we dilate each side by 7, then we have lx7xwx7=Area, which is lw*49=49 times the given area, which is 24; 24*49=1176

Find the area of the trapezoid

Answers

Answer:

42 square units

Step-by-step explanation:

Each square on the grid is 2 units by 2 units.

Bases: OC = 10; SK = 4

Height: OS = 6

area = (b1 + b2)h/2

area = (10 + 4)(6)/2

area = 42

Answer: 42 square units

Answer:

The area of trapezoid is 42 square unit.

Step-by-step explanation:

According to the question

A trapezoid which is consist of many square shapes and each grid square equals 2 units . We need to find the area of trapezoid.

To calculate the area of trapezoid we have given :-

Base ; SK = 4 and OC = 10Height ; OS = 6Formula for finding area of trapezoid is ½ × (Base 1 + Base 2) × Height .

Finding the area of trapezoid :-

Area of trapezoid = ½ × ( 4 + 10 ) × 6

Add 4 and 10.

Area of trapezoid = ½ × 14 × 6

Multiply 14 by 10.

Area of trapezoid = ½ × 84

Divide by 2.

Area of trapezoid = 42

Hence,

The area of trapezoid is 42 square unit.

i need the prosces plis is for tomorrow

Answers

Answer:

p) = 17/30 or 0.56

q) = 191/60 or 3 11/60

Determine the area of a circle whose radius is 15 feet. Use pie=3.14​

Answers

Answer:

Down below

Step-by-step explanation:

[tex]A=\pi r^2\\A=3.14*(15)^2\\A=3.14*225\\A=706.5[/tex]

Hurry!! MATH TEST
Ill make brainlest and pls show work if you can!

Answers

Answer:

option 1

Step-by-step explanation:

if it goes up 6 then it means plus 6

PUT THEM IN ORDER PLEASE

Answers

Answer:

3,2,4, then 1

A system of equations is created by using the line that is created by the equation 3x-2y=-4 and the line that is created
by the data in the table below.
Х
y
-9
-3
-1
-5
3
3
5
7
What is the y-value of the solution to the system?

Answers

Answer:

y=6x-8

Step-by-step explanation:

3x-2y=-4

3x^2-2y^2=-4^2

6x-y=8

y=6x-8

You have 1/8 gallon of melted crayon wax. You pour the wax equally into 8 different molds to make new crayons. What fraction of a cup of melted wax is in each mold? Think: 1 gallon is 16 cups.

PLS HELP

Answers

Answer:

2 cups

Step-by-step explanation:

16/8=2 so it is 2 cups

From Monday through Friday Sydney works in the bookstore on one day and in the tutoring center where on another doing on Saturday and Sunday Sydney cooks food 50% of the days how many days does Sidney work in a week what percent of Monday through Friday does Sidney work

Answers

Answer: The other 50%

Step-by-step explanation:

solve for x round to your nearest tenth

Answers

Answer: Can’t see which place value to round to. So the answer is about 4.60147.

Explanation: SOH CAH TOA
Tan (41) = 4/x
Separate the X.
X = 4/Tan(41)
x= 4.6014...

The shaded sector above covers 1/3 of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in terms of ?

Answers

Given:

The shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

[tex]A=\pi r^2[/tex]

Substituting [tex]r=3[/tex], we get

[tex]A=\pi (3)^2[/tex]

[tex]A=9\pi[/tex]

It is given that the shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.

The area of shaded sector [tex]=\dfrac{1}{3}A[/tex]

                                             [tex]=\dfrac{1}{3}(9\pi)[/tex]

                                             [tex]=3\pi[/tex]

Therefore, the area of shaded sector is 3π sq. cm.

Can someone plsss help me with this one problem plsss I’m trying to get a 90 and also can you explain how you got your answer

Answers

from question,
lacy learned 34 recipes in 17 weeks,
so in 1 week she learns = 34/17 =2 recipes,
hence she learns 40 recipes in
= 40*2
=80 recipes.

I need help with this ( see image). Please show workings.​

Answers

Answer:

32. (E)stopped at 2pm

33. (A)

Step-by-step explanation:

32. on the graph you go across the x axis and find where the straight line starts and look for the time

33. look at the y-axis and see what line and the number it is on

Which of the graphs below represents the soltuion set for d - 4 > -3?

Answers

Answer:

The answer is d

Step-by-step explanation:

Write an equation of the line that passes through (0, 8) and (6, 8).

Answers

Answer:

y = 8

Step-by-step explanation:

Both of the points have the same y, which is 8, meaning that if the line passed through both of those points, then it has to be horizontal, meaning the equation is y = 8   Also, there is no x in the equation because the slope is 0.

Create 5 geometric sequences

Answers

Answer:

Below.

Step-by-step explanation:

The formula for a GS is:

a1, a1r,  a1 r^2, a1r^3 .....

Examples are:

1. First  term a1 =2 and common ratio r = 3, the first 4 terms are:

2,  2*3,  2*3^2,  2*3^3

= 2, 6, 18, 54

2. a1 = 1 , r = 0.5:

1, 0.5,  0.25,  0.125  .....

3. a1 = -4,  r = -2:-

-4,  8, -16,  32  ...

4.  a1 = 0.1,  r = -3:

0.1,  -0.3,  0.9, -2.7 .....

5. a1 = 2, r = 1/3:

2,  2/3,  2/9,  2/27 .....

The population of a city and 2005 was 18,000. By 2010, the cities population has grown to 32,800. It’s a population grows flow a linear model, what is the projected population for 2015?

Answers

Answer:

47,600

Step-by-step explanation:

The rate is (32,800 - 18,000) = 14,800 per 5 years  

therefore :  

in 2015 = 2010 + 5 years  

the pop. will be :  

32,800 + 14,800 = 47,600  

The answer is 47,600.

Hope this helped :)

can y'all help me pls ​

Answers

Answer:

The change in delta x would be 0 in the second option because the change is exactly the same.

answer above^^ what the person said

PLSSS HELP IF YOU KNOW THISS:))

Answers

The answer is 428 there you go
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