Consider a geometric sequence who third term is 9 and whose sixth term is -8/3. What is the first term? QUICKLY PLEASE!

Answers

Answer 1

Answer:

81/4

Step-by-step explanation:

Given

Geometric sequence with:

a₃ = 9a₆ = -8/3To findThe first term a₁Solution

Formula for nth term is:

aₙ = a₁rⁿ⁻¹

For the given terms we have:

a₃ = a₁r² anda₆ = a₁r⁵

Comparing the terms:

a₆/a₃ = r³

Substituting values to find the value of r:

-8/3 : 9 = -8/27 = (-2/3)³ r³ = (-2/3)³r = -2/3

Then finding a₁:

a₁(-2/3)² = 9a₁(4/9) = 9a₁ = 81/4

Related Questions

Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9) B 9(4 1 6) C 18(2 1 3) D 27(9 1 27)

Answers

9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

  36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C

Write the slope-intercept form of the equation of the line passing through the point (5, - 1) and parallel to the line y = 4x - 1

Answers

Step-by-step explanation:

hope this solution will help you

Evaluate (3n + 2) – 10 when n = 3.

First, evaluate within the parentheses. Then evaluate exponents. Next, multiply and divide from left to right. Then, add and subtract from left to right.

Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.

Substitute the given value for the
.
Use the
to simplify.
First, complete the
inside the parentheses.
Next, complete the
inside the parentheses.
Last, complete the subtraction.
The value is
.

Answers

Answer:

1

Step-by-step explanation:

(3x3-2)-10=(9+2)-10=11-10=1

Answer:

The value is 1.

Step-by-step explanation:

(3n + 2) – 10

(3(3) + 2) – 10

9+2-10

11-10

1


These questions are the worst

Answers

Answer:

yes.. i HATE them!!

ur answer is: either C or D

(not sure..)

Describe a congruence transformation.

Answers

I DONT REALLY KNOW IM SO SORRY

What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree

ANSWER IS 150 DEGREES

Answers

Answer:

C

Step-by-step explanation:

By converting radians 5π /6 into a degree, we get the nearest degree 150.

How to convert radians into a degree?

We can convert radians into a degree by using the formula

Degree = Radians x (180°) / π

To 5π /6 convert radians into a degree,

Degree = Radians x (180°) / π

Degree =  5π /6 x (180°) / π

             = 5 /6 x  (180°)

             = 150°

Learn more about Degree;

https://brainly.com/question/364572

All truck travels 2,400 m in 60 hours, going the same distance each hour. How many miles does the truck travel each hour?

Answers

Answer:

The truck travels 40 miles per hour.

Step-by-step explanation:

You can use proportion to solve this.

[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]

what ius the symoble for iron

Answers

Answer:

fe

Step-by-step explanation:

You will get the degree of the polynomial by adding the exponent of the variable include in the polynomial.
True
False​

Answers

Answer:

Step-by-step explanation:

THe answer is true

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

QN = 17

JQ = 2*QN

JQ = 2* 17

JQ = 34

Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)

Answers

Answer:

16.4

Step-by-step explanation:

4(5.5 + 6) - 3(6 + 4)

4(11.6) - 3(10)

46.4 - 30

16.4

Answer:

The answer is 16.

Step-by-step explanation:

4(x+6)−3(y+4)

=4x+24-3y-12

=4(5.5)+24-3(6)-12

=22+24-18-12

=46-30

=16

which point is the incenter of angle DEF

Answers

I think it’s point G

Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute.


After how many minutes will both aquariums contain the same amount of water?

Answers

12 to the fifth power hope this helps have a nice day

HELPPPPPPPPPPPPPPPPP

Answers

Answer: We can't see the picture

Step-by-step explanation:

Mientras que en variables discretas se utiliza la función de probabilidad, en distribuciones continuas se utiliza la función de densidad., verdadero o falso?

Answers

Answer:

Answer: FIRST OPTION

Step-by-step explanation:

The missing picture is attached.

By definition, given a Quadratic equation in the form:

Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.

The Quadratic Formula is the following:

In this case, the exercise gives you this Quadratic equation:

You can identify that the numerical coefficients are:

Therefore, you can substitute values into the Quadratic formula shown above:

You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.

Nora has nn nickels and dd dimes. She has a minimum of $2 worth of coins altogether. Write this situation as an inequality.

Answers

Answer:

0.05nn + 0.10dd ≥ 2

*make sure it is either n or nn depending whether you had a typo in problem*

Step-by-step explanation:

First each nickel is worth 0.05

each dime is 0.10

and we must have a minimum so the total value has to be at least $2

so 0.05nn + 0.10dd ≥ 2

please give thanks by clicking the heart button :)

1. The value of (301)^2 – (300)^2 is

Answers

answer:
(301)^2-(300)^2
it is in the form of
a^2-b^2=(a+b)(a-b)
so,
(301+300)(301-300)
(601)(1)=601

-3x + 12 = -36
solve for x

Answers

Answer:

x=16

Step-by-step explanation:

-3x+12=-36

     -12 | -12

-3x=-48

/-3 | /-3

x=16 because the negatives cancel out eachother so it would be x=48/3 and 48/3=16

answer correctly please and you will get brainliest

Answers

Answer:

2.25

Step-by-step explanation:

If you divide any of the bigger numbers on the bottom by the bigger numbers on top, you would get 2.25 no matter what.

has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$29
$19
$21
$30
$35
$15

Answers

Answer:

$29, $21, $30, $35

Step-by-step explanation:

the amounts had to be larger than $20 because he owes money and needs more inorder to have gained money

Solve 2x^2+8x-1=0 can someone type this "correctly" in photo math for me please?

Answers

Answer:

Step-by-step explanation:

Please answerrrrrr I I’m horrible at this

Answers

Answer:

Ok is there options? Because that will make it easy but I dont think your supposed to ask for help on a district test

Solving equations

2(x-4) = -4(2x+1)

Answers

Answer:

x=2

THAT IS ALL I KNOW SORRY

Step-by-step explanation:

Answer:

x = -1.2

Step-by-step explanation:

First distribute

2x + 8 = -8x - 4

next move variables to one side

2x + 8 = -8x - 4

+8x        +8x

10x + 8 = -4

now get the variable by its self

10x + 8 = -4

       -8   -8

10x = -12

/10.    /10

x = -1.2

Find the missing side. Round to the nearest tenth.
X
16
20

Answers

Answer:

x = 58.47

Step-by-step explanation:

Use SOH CAH TOA

Sin(16) = 20/x

x = 58.47

Sugar and flour are mixed in the ratio 3.5 in a sweet recipe in another recipe 15 parts of flour are used if these two ingredeints on both recipes are in both recipes are an equivalent ratio

Answers

Answer: 9

Step-by-step explanation:

Here is the completed question.

Sugar and flour are mixed in the ratio 3:5 in a sweet recipe. In another recipe, 15 parts of flour are used. If these two ingredients in both recipes are in an equivalent ratio, how many parts of sugar should be used?

Ratio of sugar and flour = 3:5

Since 15 parts of flour are used, the parts of sugar that should be used will be:

= 15 ÷ 5/3

= 15 × 3/5

= 3 × 3

= 9

Fraction help for math class help. Simplify

Answers

Answer:

7 13/20

Step-by-step explanation:

Answer:

7 13/20

Step-by-step explanation:

add whole numbers add fraction parts

3+4=7

2/5=8/20

1/4=5/20

8/20+5/20=13/20

7+13/20=7 13/20

- 6x+5
A. (x + 5)(-1)
B. (x-4)(x-2)
C. (x + 4)(x-2)
D. (x - 5)(x-1)

Answers

every choice except A quadratic questions

Find the slope of the line 0,-19 20,15

Answers

the slope is 1 and 7/10

A triangle has one side that measures 5 units and another side that
measures 7 units. What are two possible lengths for the third side?
Explain why you chose the lengths you did.

Answers

Answer:

see explanation

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is between the limits

difference of 2 sides < x < sum of 2 sides, that is

7 - 5 < x < 7 + 5 , then

2 < x < 12

Choose any 2 values between 2 and 12 as third side, so

third side could be 6 or 9 for example

apple's cost 3.60 for 3 pound how much pounds for 8.40$​

Answers

Answer:

7 pounds.

Step-by-step explanation:

3.60 for 3 pounds

1.20 per pound.

8.40/1.20 = 7 pounds

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