What is the iterative rule for this geometric sequence?
2/9, 2/3, 2, 6, ...

A.) an = 2/9 • 3^n
B.) an = 3(2/9)^n-1
C.) an = 2/9 • 3^n-1
D.) an = 3(2/9)^n

Answers

Answer 1

Answer:

I think it is B an=3(2/9)

Answer 2

The iterative rule for this geometric sequence is [tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]

What is geometric sequence?A unique kind of sequence is a geometric sequence. Every term in the series (aside from the first term) is multiplied by a fixed amount to determine the following term. In other words, we multiply the current phrase in the geometric sequence by a constant term (called the common ratio), Divide the current term in the geometric sequence by the same common ratio to discover the previous term in the geometric sequence. Here is an illustration of a geometric sequence with a common ratio of 2, which is 3, 6, 12, 24, and so on. A geometric sequence's common ratio can be either negative or positive, but it cannot be zero.Given that we are aware that a geometric series has an explicit formula in form[tex]a_{n} =(a_{1} )*r^{n-1}[/tex]where, [tex]a_{n}[/tex]=nth term of geometric sequence[tex]a_{1}[/tex]= 1st term of geometric sequencer=common ratioWe can see that our geometric sequence's first term is. By dividing any number by the number that comes before it in the sequence, let's find the common ratio of our supplied sequence.Since 2 comes before 6 in the given geometric sequence, let's divide 6 by 2.r= 6/3 = 3The common ratio is three, as can be seen.When we use the explicit geometric sequence formula with our values, we will obtain,[tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]

Therefore, The iterative rule for this geometric sequence is [tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]

To learn more about geometric sequence, refer to

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Related Questions

5
What is the additive inverse of
2

Answers

Answer:

The additive inverse of 2 is -2.

Step-by-step explanation:

what is 9 + 10 please help​

Answers

Answer:

19

Step-by-step explanation:

it is 19 because, if you have 10 marbles, and then your friend has 9 and gives it to you, then you go from 10 then 11 then 12 then 13 then 14 then 15 then 16 then 17 then 18 then 19.

Answer:

21

Step-by-step explanation:

9 = 3 x 3

10 = 5 x 2

3 x 2 = 6

3 x 5 = 15

15 + 6 =21

Somebody help me please

Answers

Answer:

b

c

a

d

Step-by-step explanation:

sum=addition

difference=subtraction

groups=hints multiplication

split into=division

Answer:

sum of no and 12 is 12+xdifference b/w 12 and a no is 12-x12 groups of some no is 12xsome no of people split into 12 rows is x/12

Hope this helps!

Write an equation to represent each
relationship. SOLVE THE EQUATION.
5 more than six times a number is the
same as that number decreased by ten.

Answers

n6+5=n-10
n6=n-15
n5=-15
n=-3
hope this helps:)


Write the equation of a line with a y-intercept of 2
and a slope of 3/4- Graph the equation.

Answers

The equation is y=3/4x+2

This is how it looks graphed.

Please help!!! I’ll mark brainliest!!!!!!! Please explain!

Answers

Answer:

[tex]y = 2x + 12[/tex]

By the fiftieth year, there will be 112 wolves ([tex]y = 2[/tex] × [tex]50 + 12[/tex])

Step-by-step explanation:

You start with 12 wolves in the population.

Each year, the wolf population will increase by 2 years.

Let x represent the number of years.

Let P represent the total population.

Considering all this, P = 2x + 12.

In this case, we want to find how many wolves will be in the population in 50 years. Therefore, we will need to plug 50 into the equation in place of x.

P = 2(50) + 12

Simply to get your answer.

1. What are metric units ?​

Answers

Answer:The metric system is a system of measurement that succeeded the decimal system based on the metre introduced in France in the 1790s

Step-by-step explanation:

.

The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.

Answers

Answer:

3.25

Step-by-step explanation:

according to the systematical theorem it would equal 3.25

PLEASE HELP ME
which equation or inequality shows the relationship between the plotted points on the number line
A. -4 > 3
B. -4 > -3
C. 3 > -4
D. 3 < -4

Answers

Answer:

C.

hope it help^_^(♡˙︶˙♡)

A shirt that regularly sells for $20 is marked down by 30%. What is the new price of
the shirt?

Answers

Answer:

$14

Step-by-step explanation:

30% -> 0.3

20 x 0.3 = 6

20 - 6 = 14

The new price of the shirt will be 14 dollars.

Hope this helps, have a nice day :D

$14

Step-by-step explanation:

30% × 20

= 30/100 × 20

= 600/100

= $6

The new price of the shirt :

$20 - $6

= $14

The difference between two numbers is 4. Twice the greater number is equal to 3 times the lesser number increased by 2 find the numbers

Answers

Answer: x = 6, y = 2, (6,2)

Step-by-step explanation:

Let number 1 be "x."

Let number 2 be "y."

The difference between two numbers is 4. --> x - y = 4

Twice the greater number is equal to 3 times the lesser number increased by 2 --> 2x = 3y + 2

This problem can then be solved just like any other system of equations.  I will use the elimination method.  Let me know if you prefer substitution.

[tex]2x - 3y = 2\\2x - 2y = 4\\0 - y = -2\\y = 2[/tex]

Then, substitute 2 for y.

x - 2 = 4

x = 6

Hope it helps :)

Вася вырезал из картона треугольник и пронумеровал его вершины цифрами 1, 2, 3. Оказалось, что если Васин треугольник повернуть 18 раз по часовой стрелке вокруг его вершины под номером 1 на угол, равный углу при этой вершине, то он вернется в исходное положение. Если Васин треугольник повернуть 3 раза по часовой стрелке вокруг его вершины под номером 2 на угол, равный углу при этой вершине, то он вернется в исходное положение. Вася утверждает, что если повернуть его треугольник n раз вокруг вершины под номером 3 на угол, равный углу при этой вершине, то он вернется в исходное положение. Какое минимальное n мог назвать Вася так, чтобы его утверждение было правдивым хотя бы для какого‑то картонного треугольника?

Answers

Answer:

nice nice nice nice nice nice nice nice nice nice nice

Step-by-step explanation:

nice nice nice esq no hablo ratata

here are six number cards:
-7 -5 -3 3 1 -1
arrange the cards into three pairs with the same total

Answers

-7 and 3
-5 and 1
-3 and -1
They all equal -4

Need help with delta math

Answers

Answer:

It looks like c

Step-by-step explanation:

I'm not completely sure bit i did this last year

fifteen increased by t​

Answers

Answer:

15+t

Unless you already have the answer for what t equals, that's your answer.

15+t

Hope this helped you- have a good day bro cya)

Here is a list of numbers:
15, 6, 13, 5, -14, 9, —8, 10, 15

State the median.

Answers

the answer is -14 it's the middle

the median is 9!!!!!!!

Find m < b

Picture Included

Answers

Answer:

<b= 48 degree

Step-by-step explanation:

<A + <B + <C = 180 degree (Sum of angles in a triangle)

<A = 90 degree

<B = 2x + 14 degree

<C = 4x - 26 degree

[tex]90+2x+14+4x-26=180 degree\\2x+4x=180+26-90-14\\6x=102\\x=\frac{102}{6} \\x=17 degree\\[/tex]

Therefore, <B = 2x + 14 = 2(17) + 14 = 34 + 14 = 48

<b = 48 degree

A small school has 78 students. If 24 students are boys what is the ratio of girls to boys​

Answers

54:24
Explanation:
If there’s 78 students, and you subtract 24, you’re left with 54, therefore your answer would be 54:24

Answer:

54 : 24

Step-by-step explanation:

Total: 78 students

Part (boys): 24 students

We can find the number of girls in the school by subtracting the number of boys from the total number of students.

Part (girls): Total - Part (boys) = 78 - 24 = 54

We now have the amount of girls and boys, so we can rewrite as a ratio of girls to boys.

Girls: 54

Boys: 24

Girls : Boys = 54 : 24

Let me know if you have any questions!


I need help on this can someone please help

Answers

wat ihsth at?  ecrio ajaajajajajaajajajajajjajajajjajajajaen

if i || m, solve for x

Answers

Answer:

ayudenmeeeee yo tambien necesito una respuesta

help me please and thank you

Answers

Answer:

add them all together and you get the value of x

Step-by-step explanation:

3 and 132/500 as a decimal

Answers

Answer:

3.264

Give me 5 stars

Jeremiah and Tristan work at a dry cleaners ironing shirts. Jeremiah can iron 35 shirts per hour, and Tristan can iron 20 shirts per hour. Jeremiah and Tristan worked a combined 17 hours and ironed 490 shirts. Determine the number of hours Jeremiah worked and the number of hours Tristan worked

Answers

(35 x 10) + (20 x 7) = 490

You need to use guess and test. Jeremiah worked 10 hours, and Tristan worked 7 hours.

Answer please as a fraction

Answers

Answer:

The second one is 1;2;3; or 6

The third one is 2;3;4;5; or 6

Express the ratio below in its simplist form 9:9:3

Answers

3:3:1

All of the numbers in the ratio can be divided by 3
9:9:3
Doing so makes the numbers:
3:3:1

Evaluate 64^1/2 x 10^-2

Answers

0.32 is the answer to 64^1/2 x 10^-2

The longest side of a right triangle that is found across from the right angle is referred to as the:
Question 4 options:

A) legs
B) perimeter
C) Pythagorean theorem
D) hypotenuse

Answers

Answer:

answer D hypotenuse

Step-by-step explanation:

The answer
B. Perimeter

Simplify as far as possible.
2

75
+
3

12

Answers

Answer:

[tex]2 \sqrt{75} + 3 \sqrt{12} \\ 2 \sqrt{25 \times 3} + 3 \sqrt{4 \times3} \\ 2 \times 5 \sqrt{3} + 3 \times 2 \sqrt{3} \\ 10 \sqrt{3} + 6 \sqrt{3} \\ \sqrt{3} (10 + 6) \\ 16 \sqrt{3} [/tex]

Evaluate x + 10 for x = 5

Answers

Answer:

Your answer is 15.

Step-by-step explanation:

x + 10 ,  x = 5

5 + 10

15

Hope this helps!

Answer:

15

Step-by-step explanation:

[tex]x=5[/tex]

Given the information, plug in 5 to where the [tex]x[/tex] is.

5 + 10

Now, simply add.

5 + 10 = 15

Therefore, 15 is the answer.

What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -3/5?

Answers

Answer:

The answer in standart forn is 0.6x + y = b

Step-by-step explanation:

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