Find the 7th term in the sequence: 1/3, 1, 3, 9, . . .

Find The 7th Term In The Sequence: 1/3, 1, 3, 9, . . .

Answers

Answer 1

Answer:

243

Step-by-step explanation:

1. 1/3 * 3 = 1

2. 1 * 3 = 3'

3. 3*3 = 9

4. 9*3= 27

5. 27*3 = 81

6. 81*3 = 243

7. 243

Hope this helps!

Answer 2

The required 7th term in the given geometric sequence would be 243.

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The sequence given in the question follows as:

1/3, 1, 3, 9, . . .

This sequence follows the pattern of a geometric progression, where each term is obtained by multiplying the previous term by a fixed number, called the common ratio.

The common ratio for this sequence is 3.

To find the nth term in a geometric progression, you can use the formula:

aₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

Plugging in the values for this sequence, we have:

[tex]a_7 = 1/3 \times 3^(7-1) = 1/3 \times 3^6[/tex]

= 1/3 x 729 = 729/3 = 243

Therefore, the 7th term in the sequence is 243.

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Related Questions

twenty more than half a number is 70? what is the number?

Answers

Answer

100

Step-by-step explanation:

So you can put this in an algebraic expression:

20+ 1/2x = 70

1/2x=50

x=100

3.46 x 10-2
Scientific method

Answers

Answer:

Assuming that you want to expand it, the answer would be 0.0346 because it is 10^-2, meaning that you move the decimal two spaces to the left because it has a negative in front of the two.

Step-by-step explanation:

Three-fourths of a number decreased by 10 is greater than or equal 5.

Answers

Hey there! I'm happy to help!

Let's call this number n. We have 3/4 of n, so we can write this as 3/4n.

We decrease this by 10. This means we subtract 10.

And this is greater than or equal to 5, giving us this inequality.

3/4n-10≥5.

Have a wonderful day! :D

Can someone help me with some factor by grouping and please show step by step

problem: 3x^2-11x+10

Answers

Answer:

See the explanation of the method and the solution below.

Step-by-step explanation:

(In bold is what you'd write in an answer to a question. The extra writing is the explanation.)

3x^2 - 11x + 10 =

This trinomial is in the form

ax^2 + bx + c.

a = 3; b = -11; c = 10

Step 1. Multiply coefficients ac.

ac = 3(10) = 30

Step 2. Find 2 factors of ac multiply to ac and add to b.

In this case, find two factors of 30 that multiply to 30 and add to -11.

-6 and -5 work since (-6)(-5) = 30 and (-6) + (-5) = -11

-6 and -5

Step 3. Break up the middle term in to a sum using the numbers from step 2.

We will break up -11x into -6x - 5x

Now we have

= 3x^2 - 6x - 5x + 10

Step 4. To factor by grouping, factor out a common factor out of the first two terms and factor out a common factor out of the last two terms.

= 3x(x - 2) - 5(x - 2)

Step 5. Factor out the common binomial.

= (x - 2)(3x - 5)

-1/4 + -3 5/8

4.5 - 7.7

7.7 - 6.7

5.9 - 3.8

-0.5 + -7.3

(Please answer in order)

Answers

-3.875

-3.2

1

2.1

-7.8

hope this helps!

Enter two million, eighty-seven thousand, three hundred four.

Answers

Answer:

2,087,304..........

i need number 6 i will be giving brainlyist

Answers

Answer:

The last answer

Step-by-step explanation:

It starts at 7 and grows 1.5 per year. the per year tells you where your x/y will go

Answer:

the last answer

Step-by-step explanation:

25. Crown Molding You are decorating the perimeter of the ceiling of your living room
with crown molding. The expression 2x + 2y represents the total amount of molding
you need where x is the width of the room (in feet) and y is the length of the room
(in feet). Find the total amount of wood you need if the room is 11 feet wide and
10.5 feet long

Answers

Answer:

43 feet

Step-by-step explanation:

2x + 2y

2(11) + 2(10.5)

= 22 + 21 = 43

Solve for .
3(A) +1 = 10

Answers

The answer would be A= 3 because, 3x3= 9 then you add 9+1 and get 10

Hope this helps

Describe the difference between an addition problem and a sum.

Answers

Answer:

The addition problem is the equation of which you have to solve. The sum is the answer to that problem...

Answer:

an addition problem is an entire equation, the blueprint of something. it shows how you got your answer and what you had to do to find it. a sum is like the final product, you use the blueprints (the problem) to get the house (the sum) the sum is the result of everything you did to work out the problem

Marsha have the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount. What is the cost in dollars and cents for each of socks?

Answers

Answer:

Each sock cost $4.99.

Step-by-step explanation:

Step 1- Subtract

20-5.03= 14.97

Step 2- Divide by 3.

14.97÷3= 4.99

So, every pair of socks cost $4.99.

Each sock cost 5$ or 4.99$

You and your dog go for a walk to the park. On the way, your dog takes many side trips to chase squirrels, mark its territory on a tree, and smell other dogs. When you arrive at the park, do you and your dog travel the same distance?

Answers

Answer:

yes because its not how much you walk if it is the same distance to the park, then yes. You walked the same distance to the park, however the dog ran more around, you were possibly following the dog so... yea.

Daveon rode his bike to the end of the street is 37.6 seconds. Davaris took 42.5 seconds to reach the end. How much faster did Daveon ride than Davaris?

Answers

Answer:

4.9 Seconds.

Step-by-step explanation:

Simply subtract 42.5 and 37.6 and you will get your answer.

Answer: 4.9 Seconds.

   And please put down as brainlist hope this helped.

What’s the answer to this?

Answers

Answer:

The answer in order from least to greatest is C.

Lola says these two expressions have the same value.

Expression A
Expression B
Left-bracket (StartFraction a Over b EndFraction) Superscript negative 4 Baseline Right-bracket Superscript 0
Left-bracket (StartFraction a Over b EndFraction) Superscript 0 Baseline Right-bracket Superscript negative 4

Answers

Answer:

expression A hope this helps

Step-by-step explanation:

mark me as brainiest

Answer:

A

Step-by-step explanation I took the test

Point B is on line segment AC.
Given AB=13 and BC=2, determine the length AC


Answers

Answer:

15

Step-by-step explanation:

AB+BC= AC

13+2= 15

Translate the verbal expression into an algebraic expression.
The product of 7 and the square of r, increased by the difference of 5 and x^2

Answers

Answer:

[tex]7r^{2} +5-x^{2}[/tex]

Step-by-step explanation:

The "product" is the answer to a multiplication problem, which is why we know to multiply in the beginning of the equation. "The square of r" means r squared, which translates to r^2. Therefore, the product of 7 and the square of r would be translated into [tex]7r^{2}[/tex].

"Increased by" means addition because you are increasing the previous value, so we know to add after [tex]7r^{2}[/tex].

The "difference" is the answer to a subtraction problem, which is why we know to subtract in this part of the equation. The difference of 5 and x^2 would be translated into [tex]5-x^{2}[/tex].

When we put all of these components together, we arrive at [tex]7r^{2} +5-x^{2}[/tex].

I hope this helps! If it does, a brainliest would be much appreciated :)

Give the zeros, write the polynomial.
x= -sq rt (3), sq rt (3)

Answers

Answer:

hmm

Step-by-step explanation:

Hi i need help plz help me

Answers

Answer:

work is shown and pictured

-2=9- -t what is t?.....

Answers

Answer:

-11

Step-by-step explanation:

-2=9-(-t)

-2=9+t

-2-9=t

t=-11

4. What is the first step to solve 5x + 3 = 18 *
(2 Points)
Divide each side by 5
Add 3 to each side
Subtract 5x from both sides
Subtract 3 from both sides
?

Answers

Subtract 3 from both sides

Answer:

5x+3=18

Solution :

Or,5x=18-3

Or,5x=15

Or, x=15%5

Therefore, x=3

Hope that helps :)

If f(x) = x^2+x-3, then f(3a) =
(a) 3a^2+3a-3
(b) a^2+3a-3
(c) 3a^2+3a+3
(d) 9a^2+3a-3
(e) 9a^2-3a+3

Answers

Answer:

A

Step-by-step explanation:

With functions all you need to do is substitute in the passed value for x.

Solve for the variable. Show all work. |-3 + k| = 10

Answers

Answer:

[tex]k = 13[/tex] or [tex]k = -7[/tex]

Step-by-step explanation:

The following equation:

[tex]| -3 + k | = 10[/tex]

-Switch sides:

[tex]| k - 3 | = 10[/tex]

-There are two equations from the following equation:

Equation 1:

[tex]k - 3 = 10[/tex]

Equation 2:

[tex]k - 3 = -10[/tex]

-Solve equation 1:

[tex]k - 3 = 10[/tex]

[tex]k - 3 + 3 = 10 + 3[/tex]

[tex]k = 13[/tex]

-Solve equation 2:

[tex]k - 3 = -10[/tex]

[tex]k - 3 + 3 = -10 + 3[/tex]

[tex]k = -7[/tex]

Answers:

[tex]k = 13[/tex] or [tex]k = -7[/tex]

I played 4 video games and had an average score of 10,000 points per game.
The
average
score of the first 3 games was 8,000 points per game. How many points did I score in the 4th
game? *

Answers

Answer:

Wilt Chamberlain set the single-game scoring record in the National Basketball Association (NBA) by scoring 100 points for the Philadelphia Warriors in a 169–147 win over the New York Knicks on March 2, 1962, at Hershey Sports Arena in Hershey, Pennsylvania. It is widely considered one of the greatest records in basketball. Chamberlain set five other league records that game including most free throws made, a notable achievement, as he was regarded as a poor free throw shooter. The teams broke the record for most combined points in a game (316). That season, Chamberlain averaged a record 50.4 points per game, and he had broken the NBA single-game scoring record (71) earlier in the season in December with 78 points. The third-year center had already set season scoring records in his first two seasons. In the fourth quarter, the Knicks began fouling other players to keep the ball away from Chamberlain, and they also became deliberate on offense to reduce the number of possessions for Philadelphia. The Warriors countered by committing fouls of their own to get the ball back.

The game was not televised, and no video footage of the game has been recovered; there are only audio recordings of the game's fourth quarter. The NBA was not yet recognized as being a major sports league and struggled to compete against college basketball. The attendance at this game was around half of capacity, and no members of the New York press were at the game.

Contents

1 Prologue

2 Game report

2.1 First three quarters

2.2 Breaking records

2.3 Finale

3 Aftermath

4 Legacy

5 Box score

6 See also

7 Notes

8 References

9 External links

Step-by-step explanation:

help u

find the measure of BGP

Answers

BGC = 90 degrees = PGC + BGP

PGC = 37 degrees

90 = 37 + BGP

Subtract 37 from both sides

53 = BGP

Answer:

∠BGP = 53°

Step-by-step explanation:

The explanation is quite simple. Thanks to the red square in the corner of angle BGC, we can see that BGC is a right angle. All right angles are equal to 90°. Line GP Splits angle BGC in half. We are given the value of one half of the angle; 37°. To find the value of BGP, simply subtract 90°-37°. The answer is 53°, which is your final answer

Simplify
3 x 42 x 2y

Answers

45x+2y because you say 42 plus 3. You can do anything with the 2y because you can’t add anything to it.

Which is the equation of a line with a slope of - 1/3 and a y-intercept at (0,1)?

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{3}[/tex] and given (0, 1 ) then c = 1

y = - [tex]\frac{1}{3}[/tex] x + 1

can someone help? I dont get it, where is 1/4??? i just want to know where 1/4 is.

Answers

Answer: 2/8

Step-by-step explanation: 1/4 is equal to 2/8 so the answer is 2/8.

Also the 2 numbers in between 1/4 and 5/8 is 3/8 and 4/8

Hope this helped!

Answer:

You have to find one fourth yourself All you have to do is find the number equivalent to 1/4 which is 2/8  ANSWER = 2/8

Step-by-step explanation:

Write 12 1/4
as a decimal.
help me pls

Answers

Answer is   12.25

=============================================

Explanation:

Using long division, or your calculator, you should find that 1/4 = 0.25

The mixed number 12 & 1/4 means 12 whole items plus 1/4 of another item.

So we can think of it like this

12 & 1/4 = 12 + 1/4 = 12 + 0.25 = 12.25

The mixed number 12 & 1/4 converts to the decimal form 12.25

The decimal number for 12 1/4 is 12.25.

Given,

12 1/4

We need to write it as a decimal.

What is a decimal number?

A decimal number is a number with no fraction and it has decimal points.

Example:

- 1/2 = 0.5

- 3/4 = 0.75

Find the decimal number of 12 1/4.

We need to convert 12 1/4 into a proper fraction.

12 1/4 = (4x12 + 1 ) / 4 = (48 + 1) / 4 = 49 / 4

Now,

Convert 49 / 4 into a decimal number.

49 / 4 = 12.25

Thus the decimal number for 12 1/4 is 12.25.

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what is 80 divided by 60

Answers

Answer:

1.3333333333333

Step-by-step explanation:

80 divided by 60 is equal to 4/3.

What is a quotient?

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient of a number 80 and 60;"

Expression: 80/60

By dividing by 20, we have:

Expression: 4/3

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