What is the explicit rule for this geometric sequence?

2/9,2/3,2,6,...

an=3(29)n−1

an=3(29)n

an=29⋅3n−1

an=29⋅3n

Answers

Answer 1

Answer:

Tn = 2/3^(n-1)

Step-by-step explanation:

The nth term of a geometric progression is expressed as

Tn = ar^{n-1}

a is the first term

n is the number of terms

r is t common ratio

From the sequence

a = 2/9

r = (2/3)/(2/9) = 2/(2/3) =3

Substitute

Tn = 2/9(3)^(n-1)

Tn = 2/3^(n-1)

Hence the required equation is Tn = 2/3^(n-1)

Answer 2

Answer:

the actual answer is [tex]a_{n}[/tex][tex]=(\frac{2}{9} )3^{n-1}[/tex]

test taken, I know the real numbers for the question, and the real answer, and this is it


Related Questions

HELP HELP HELP plss ✨

Answers

The answer would be 915.25

Answer:

912.36 + 2.89 = 915.25

Please heeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

b) x=2 and y=14 i’m pretty sure lol

For a treasure hunt game, 300 balls are hidden. Of the balls that are hidden, 40% of them are yellow and the rest are white. Sally’s team finds 20% of the yellow balls and 80% of the white balls. How many balls did Sally’s team find?

Answers

Answer: sorry im useless here

Step-by-step explanation:

Answer:

poopo

Step-by-step explanation:

Solve equation by completing the square. ​

Answers

The answer would be X=6, -16

Assume you have a balance of $1,900 on a credit card.
If the credit card has an annual interest rate of 13.6% and only the minimum monthly
payment of $35 is made, how many months will it take to pay off the credit card?

Answers

principal=$1900

rate =13.6 %

simple interest= $35

Time=?

SIMPLE INTEREST ={PRINCIPAL×RATE×TIME}/{100}

$35= [tex]{$1900 ×13.6× TIME}{100} /[/tex]

$35×100=25840× TIME

TIME=[tex]\bold\frac{ 3500}{25840}[/tex]

TIME=[tex] 700/5168 [/tex]

TIME=[tex]{\tt{\green{\underline{\underline{\huge{0.1354489164}}}}}}[/tex] years

sorry I can't solve wrong answer

Help quickly as possible thank you :) ​

Answers

Answer:

t times 15 equals to number of wreaths

Answer:

t times 15 =number of wreaths

Regina went out for breakfast. The bill came to $7.12. If Regina has a discount coupon for 20%, how much will be taken off the bill

Answers

i believe $1.42 would be taken off of the bill:))
$5.70 is the answer because 20% of $7.12 is 1.42(estimated) so u subtract that from 7.12 and you will get $5.70

HELP IMA MARKING BRAINIEST

Answers

Simply the radical by breaking the radicand up into a product of known factors, assuming positive real numbers. Exact form: 21 Squareroot7
This is Your answer

Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804

Answers

Complete Question:

Yanay gets a lot of spam calls. An area code is defined to be a three digit number from 200-999 inclusive. In reality, many of these area codes are not in use, but for this question we'll simplify things and assume they all are.

Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804?

Answer:

1/6400 or 0.0000015625

Step-by-step explanation:

Given

Area Codes = 200 to 999 (inclusive)

Required

Determine the probability that back to back calls have area code 804

[First, we need to calculate the totality of area codes]

Total Area Codes = 999 - 200 + 1

Total Area Codes = 800

The probability of each code is 1/800

So, the probability of having back to back code of 804 is:

Probability = 1/800 * 1/800

Probability = (1/800)²

Probability = 1/640000

Hence, the required probability is 1/640000 or 0.0000015625

Sam is 12. In four years, his age will be 2/3 the age of his cousin Lupe. How old will Lupe be in two years?

Answers

Answer:

8

Step-by-step explanation:

what value represents the number 1 in the number 4,105.8




please help I'm so bad at math :0

Answers

Answer:

Hundredths place

.....

the 1 is in the hundredths place, so it represents 100

The $99.99 digital camera Mia purchased was on sale for 15% off. What amount did Mia get off the price? please leave an explanation

Answers

Answer: Sale Price = $84.99 (answer). This means the cost of the item to you is $84.99. You will pay $84.99 for a item with original price of $99.99 when discounted 15%. In this example, if you buy an item at $99.99 with 15% discount, you will pay 99.99 - 14.9985 = 84.99 dollars.

Step-by-step explanation:

solve for x and y!! will give brainliest !

Answers

Answer:

x = 60 and y=25

Step-by-step explanation:

it is equilateral triangle and  an equilateral triangle is a triangle in which all three sides have the same length. In the familiar  geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Write an equation of the line with slope 2/3 and y-intercept -9

Answers

Answer:

y=2/3x - 9

Step-by-step explanation:

Write the equation of the line parallel to the line y= 5x + 3 that passes through the point (3,3)

Answers

Answer:

y=5x-12

Step-by-step explanation:

y=5x+3, and just replace the x and y to get the b. The slope is the same.

1) 3=5(3)+b

2)3=15+b

3)-12=b

4) y=5x-12

15.78=5.28+6x
I just need help with this math problem

Answers

Answer: x=1.75

Step-by-step explanation:

The diameter of a regulation soccer ball is about 5 inches. This number was graphed on a number line. 8 DO + S-651 1 et Which point could be the point representing the graph of the diameter of the ball?​

Answers

Answer:

D.

Step-by-step explanation:

d is the answer

Use the number line to determine the sum -7 + 10

Answers

Answer:

positive 3

Step-by-step explanation:

flip it so its 10-7

Identify the pairs of alternate exterior angles in the given figure.
Question 14 options:


A)
∠3 and ∠6; ∠4 and ∠5


B)
∠2 and ∠7; ∠1 and ∠8


C)
∠3 and ∠5; ∠4 and ∠6


D)
∠1 and ∠7; ∠2 and ∠8

Answers

Answer: Choice D

Angle 1 and angle 7Angle 2 and angle 8

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

Explanation:

The angles 3,4,5,6 are all considered interior angles because they are inside or between the parallel lines.

The remaining angles 1,2,7,8 are exterior angles as they outside the parallel lines. You can think of angles 3,4,5,6 being in the river or a road, while the other angles are on the sidewalk or the shoreline.

Alternating angles are ones that are on either side of the transversal cut.

Combining the two ideas leads to alternate exterior angles being outside the parallel lines and on either side of the transversal. This applies to the following pairs:

angle 1 and angle 7angle 2 and angle 8

This is why choice D is the answer.

what is 2/3 divided by 1/6
0 2
0 3
0 4
0 6​

Answers

what is 2/3 divided by 1/6=4

2.1,0.25,3.9,2 3/4,3.99 -4 1/2,-6,-1.5,-6.3,-4,-9 1/4 order these number for least to greatest

Answers

Answer:

-9, -6.3, -6, -4, -4, -1.5, 0.25, 1/4, 1/2, 3/4, 0.99, 2, 2.1, 3.9

Step-by-step explanation:

Here ya go! Brainliest Please!!!!!!?!!!!!!!!!!!!

Use factoring to find the zeros of the following function:
f(x)=5x^3-7x^2-45x+63​

Answers

Answer:

-3, +3, 7/5

Step-by-step explanation:

(5x³-7x²)+(-45x+63)=0

X²(5x-7)-9(5x-7)=0

(X²+9)(5x-7)=0

Either x²-9=0

X²=9 so x=+3 and -3

Or 5x-7=0

5x=7 so x=1.4 (or 7/5)


Softball Players' Heights
What is the median?
Need help ASAP will give brainliest

Answers

Answer:the answer is 5'4''

Step-by-step explanation:

find whats in the middle

What is the solution to the system of equations graphed below?

Answers

Answer:

(4,2)

Step-by-step explanation:

Solving the system of equations means to find the dot where both the lines intersect. We know by the graph that the point where the both intersect is (4,2).

Please mark me as brainliest and I hope you do well on your assignment!

Please choose the option that would best fit the empty space above: Group of answer choices only one optimal solution multiple optimal solutions no solution, since it is infeasible no best solution, since it is unbounded None of the above

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In this question, some of the data is missing, that's why this question  can be defined as follows:

It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.

When there is Just one perfect solution(optimal solution) then the equation is:

[tex]Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0[/tex]

When there are Several perfect solutions then the equation is:

[tex]Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0[/tex]

When there is also no solution, since it is unlikely then the equation is:

[tex]Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0[/tex]

When there is no best solution since it is unbounded then the equation is:

[tex]Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\[/tex]

kkkmnkf;d;klsnfksdjlkfjk;asjdk;fjkasjd;f. fdjnsa;fdadf

Answers

Sjdlslsooccjjsjshhcndbsyyqtaoxppcjshwtzjcjcoslahbfidowhsbcc

An album download costs $18. What is the total cost of the album if they must pay a 6.25% sales tax?

Answers

The answer is 19.125 or you can round it to 19.13

Question 5(Multiple Choice Worth 4 points)
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?

Answers

Answer:

the answer is 33

Step-by-step explanation:

write the equation of the line parallel to the line below and passes through (-1,0)
parallel to the line with the points (0,3) and (1,0)

Answers

Answer:

y = -3x - 3

Step-by-step explanation:

Going from the point (0,3) to the point (1,0), we see that the rise (change in y) is -3 and the run (change in x) is 1.  Thus, the slope of the new line is

m = rise/run = -3/1 = -3.

Using the coordinates of the given point (-1, 0), we'll find the equation of this line in point-slope form:

y - 0 = m(x + 1), or y = -3(x + 1), or (in slope-intercept form)  y = -3x - 3

1. Find the rate of change demonstrated in the
graph below.
30
27
24
21
18
DISTANCE (MILES)
15
12
9
09
3
1 2 3 4 5 6 7 8 9 10
TIME (HOURS)

Answers

the rate of change is 9/2
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