Complete the recursive formula of the geometric sequence 27, -9, 3, -1
b(1)= ______
b(n)= b(n-1)·_____

Answers

Answer 1

Answer:

Step-by-step explanation:

Common ratio r = a₂/a₁ = -9/27 = -⅓

b(1) = 27

b(n) = b(1)rⁿ⁻¹ = 27(-⅓)ⁿ⁻¹


Related Questions

Two functions are shown below.
f(x) = 2x
g(x) = x2 + 3x - 3
For what values of x is f(x) > g(x)?

Answers

Answer:

q

hey g(x) = x2 + 3x - 3

Step-by-step explanation:

es la respuesta

PLEASE HELP! WILL MARK BRAINLIEST!!
How did advancements in the steam engine affect industrialization? (5 points)

By eliminating the need for transportation of goods by ship
By decreasing the production time for textiles
By eliminating the need for a water source to power mills
By polluting crowded urban areas

Answers

Answer:

By decreasing the production time for textiles

Step-by-step explanation:

a recipe calls for 3/4 of a cup of flour to make 5/8 of a pond of bread dough . how many cups of flour are needed to make 1 pound of douugh

Answers

6/5 cup

Thank you hope this helps

50 points question to answer​

Answers

Answer:

Hope it helps

Step-by-step explanation:

3/4(7/7)=21/28

1/2(8/8)=8/16

4/9(2/2)=8/18

2/5(9/9)=18/45

6/3(6/6)=36/18

3/2(7/7)=21/14

PLS RATE AS BRAINLIEST

For every 9 pages I read I took 1.5 pages of notes, if I read 28 pages, how many pages of notes will I have taken?

Answers

Answer:

168 pages of notes

Step-by-step explanation:

9 divided by 1.5= 6

so 28x6= 168

A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.

How many years will the lab have to safely

store the material before disposal?

Answers

Answer:

The lab will have to wait 19.45 yers to safely store the material before disposal.

Step-by-step explanation:

Exponential equation for substance decay:

A exponential equation for the amount of a substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Decays at 3.5% per year.

This means that [tex]r = 0.035[/tex]

So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]A(t) = A(0)(0.965)^{t}[/tex]

How many years will the lab have to safely store the material before disposal?

It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So

[tex]A(t) = A(0)(0.965)^{t}[/tex]

[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]

[tex](0.965)^t = 0.5[/tex]

[tex]\log{(0.965)^t} = \log{0.5}[/tex]

[tex]t\log{0.965} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]

[tex]t = 19.45[/tex]

The lab will have to wait 19.45 yers to safely store the material before disposal.

One year, the population of a city was 330,000. Several years later
it was 270,600. Find the percent decrease.

Answers

Answer:

18% Decrease.

Step-by-step explanation:

You can use this formula for % decrease questions. :)

Decrease= Starting value (original) - Final Value (the smaller number) / starting value x 100.

Hope this helps,

Azumayay

lin is 5 inches taller than her cousin mai. together their heights total 113. how tall is each girl

Answers

Answer:

the answer is mai is 54 and lin is 59

QUICK I NEED THIS ANSWER QUICKLY

Answers

It’s A. The first option. Also pls brainlist

What is the length of the dotted line in the diagram below? Round to the nearest
tenth.

Answers

I got 7.5 because 3•5=15 and then you can divid 15 by 2 since it is a triangle

SOrry again but pleaaaase help

Answers

Answer:

4(10+9) - 40 + 36

9(5+2) - 45 + 18

3(12+7) - 36 + 21

Is 12+5(2+y) and 5y+22 equivalent

Answers

Answer:

22 + 5y

Step-by-step explanation:

Yes they are

5 x 2 = 10 + 5 x y = 5y, 10 + 12 = 22, therefore you get 22 + 5y.

1.
Identify the values of a, b and c in this expression: x2 + 8x - 3
A. a = 0, b = 8, c = -3
B. a = 1, b = 8, c = 3
C. a = 1, b = 8, C = -3
D. a = 0, b = 8, c = 3
What is the correct answer

Answers

Answer:

C. a = 1, b = 8, c = -3

Step-by-step explanation:

.........

y

1

x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8

Answers

Answer:

x = 49

Step-by-step explanation:

This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.

Given the mathematical expression and data;

y = 1/√x

y = 7 and x = 64

First of all, we would find the constant of proportionality, k;

y = k/√x

7 = k/√64

7 = k/8

k = 7 * 8

Constant, k = 56

Now, to find the value of x when y = 8

y = k/√x

Substituting the values, we have;

8 = 56/√x

Cross-multiplying, we have;

8 * √x = 56

√x = 56/8

√x = 7

Taking the square of both sides, we have;

(√x)² = 7²

x = 49

what is 5m-4-m+2 simplify​

Answers

Step-by-step explanation:

5m-4-m+2

Simplifying

4m - 2

Hope it helps :)❤

Answer: 4m - 2

Steps:
5m - 4 - m + 2
COMBINE LIKE TERMS
4m - 4 + 2
4m - 2

I would appreciate brainliest if this was correct and helpful! :)

8. Calculate.
a) -114 x 15​

Answers

Answer:

[tex] - 1710[/tex]

Step-by-step explanation:

[tex] - 114 \times 15 \\ = - 1710[/tex]

Write the expanded form in the condensed form.
9z+9z

Answers

Answer:

nine z plus nine z.

lol tell me.if.its wrong

Information collected from runner 3# is in the table below

The constant proportionality for runner 3 is..?

Answers

Answer:

the constant of proportionality would be 9

Here's a challenge.... solve for this ​

Answers

I'm very bad in geometry. Sorry mom I failed geometry .

The graph of the function y=f(x)+35 can be obtained from the graph of y=f(x) by one of the following actions:

Answers

I’m pretty sure it’s the second one if not I’m so sorry

What principle will amount to $6000 if invested at 5.5% compounded monthly for 10 years?

Answers

Answer:In 10 years, you will have $10,386.46

Step-by-step explanation:

Four friends share 2 sandwhiches equally. How much sandwhich will each friend get?

Answers

Each friend will get a half of a sandwich

Answer:

Each friend will get a half of a sandwich

Step-by-step explanation:

1 friend            1 friend

             

1 friend            1 friend

(split the two sandwiches in half)

Now you have 4 halfs to give to your 4 friends

Help fast please.....

Answers

Answer:

nos etu  mdei

Step-by-step explanation:

Answer:

33in squared, so B

Step-by-step explanation:

the area of a triangle is (Base x height)/2

The area of a square is just length x width

Now solve

since each triangle is the same and there a 4 triangles do

4(3x4) which is 4(12)

4 x 12= 48

48/2= 24

3 x 3 for the square

24+9=33

Hope this helps!

Write the absolute value equation if it has the following solutions. x = 2.5 and x = -3.5

Answers

Answer:

where's the equation? your question is missing some parts.

Step-by-step explanation:

Make t the subject of the formula p = 4t+1/2-t​

Answers

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t​

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

Which of the following functions has the same solution set of g(x) = x3 + x2 - 2x?

Answers

Answer:

yes

Step-by-step explanation:

50 × {9 − [(35 − 8) ÷ (1 + 2)]} =

Answers

Answer:

look at the picture i sent

Answer:

0

Step-by-step explanation:

use mathaway :D

2. For what value of p would the statement 5p = 30 be true?
Op=7
O p = 5
O p = 4
Op=6



is the following statement true false or open: 60 - g = 25
true
false
open
none of the above


which of the following an an open statement
2x + 5x = 7x
14 ÷ 2 = 7
3 + 10 = 13
3x = 12



PLEASE REAL ANSWERS I RLLY NEED HELP!!!!

Answers

Answer:

1. p=6

2. open

3. 3x = 12

Use the information in the table to choose the correct equation.

Answers

It’s x+10. They add 10 to books each round

Answer:

y = 10x + 3

Step-by-step explanation:

hello i hope you are having a nice day can somebody help me with this question thanks

Answers

I have a little rhyme for you to remember how to calculate the area of a trapezium:

Half the sum of the parallel lines,
Times the distance between them,
That is how you work out,
The area of a trapezium!

Ok, now apply the rhyme to the question!

1) Half the sum of the parallel lines - (7.5+2.5) / 2 = 5
2) Times the distance between them - 5 x 2.5 =12.5

The answer is 12.5

Answer:

12.25 un

Step-by-step explanation:

-the formula for the area of a triangle is A=(1/2)bh or Area=(1/2)×Base×Height

to find the base you need to take 7.5 and subtract 2.5 the divide in half for each base of the triangles to get 2.5 for the bases.

then take your formula and multiply:

0.5×2.5×2.5=3.125×2=6.25 and you get the area of the triangles.

then do the area of the center square which is:

2.5×2.5=6 for the center

then add:

A=6.25+6=12.25

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