-2, 7, 16 ..... Determine the general rule (Tn) for this sequence ​

Answers

Answer 1

Answer:

It is Tn = 9n - 11

Step-by-step explanation:

It is an arithmetic progression:

[tex]T_{n} = a + (n - 1)d[/tex]

a is the first term, a = -2

n is number of terms

d is common difference, d = 7-(-2) = 9

[tex]T_{n} = - 2 + \{ (n - 1) \times 9 \} \\ T_{n} = - 2 + 9n - 9 \\ T_{n} = - 11 + 9n \\ T_{n} = 9n - 11[/tex]

Answer 2

Answer:

[tex]T_{n}[/tex] = 9n - 11

Step-by-step explanation:

There is a common difference between consecutive terms, that is

7 - (- 2) = 16 - 7 = 9

This indicates the sequence is arithmetic with nth term

[tex]T_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = 9 , then

[tex]T_{n}[/tex] = - 2 + 9(n - 1) = - 2 + 9n - 9 = 9n - 11


Related Questions

Round
63.999
to two decimal places?

Answers

Answer:

64.00

Step-by-step explanation:

64.00 is the correct answer.

63.999 rounded to 2 decimal places is 64.00

What is the 5 rounding rule?

In rounding off numbers, if the first figure dropped is 5, and all the figures following the five are zero or if there are no figures after the 5, then the last figure kept should be increased by 1 if that last figure is odd.

For example, if only two decimals are to be kept, then 6.755000 becomes 6.76.

Learn more about rounding off here https://brainly.com/question/10679598

#SPJ2

Do NOT type the $ sign in your answers. Make sure you round correctly, to the nearest DOLLAR, or the quiz will not recognize your answer as correct.

$1925 in invested into an account that pays 0.44% interest compounded monthly, for 3.5 years.

a) What is the value of the investment after 3.5 years?

b) How much interest was earned?

Answers

Answer:

Step-by-step explanation:

The coordinates of the midpoint of GH are (-2, 5) and the coordinates of one endpoint are (-3, 7).

Answers

Answer:

(-1,3)

Step-by-step explanation:

5. Use your answers to questions 3 and 4 to write an expression for how many times greater organism B's population is than organism A's population after 8 days. Simplify your expression, then write it as a number that is not in exponential form. Show your process. Write your answer in the space below. My answer​

Answers

Population growth represents the rate at which the population changes

The expression for the number of times the population of B is greater than A is: [tex]2^6[/tex]The expression that is not in exponential form is: 64

Given that:

[tex]r_1 = 2[/tex] ----- i.e. when the population doubles

[tex]r_2 = \frac{1}{2}[/tex] ----- i.e. when the population cut in halves

Population growth is represented as: [tex]A_n = ar^{n}[/tex]

Organism A

For the first 5 days (when it doubles) is:

[tex]A_5 = ar_1^{5[/tex]

Substitute [tex]r_1 = 2[/tex]

[tex]A_5 = a\times 2^{5[/tex]

For the next 3 days (when it cut in halves) is:

[tex]A = A_5 \times r_2^3[/tex]

Substitute [tex]A_5 = a\times 2^{5[/tex] and [tex]r_2 = \frac{1}{2}[/tex]

[tex]A= a \times 2^5 \times (\frac{1}{2})^3[/tex]

Apply law of indices

[tex]A = a \times 2^5 \times 2^{-3[/tex]

[tex]A = a \times 2^{5-3[/tex]

[tex]A = a \times 2^{2[/tex]

So, the growth factor of organism A is:

[tex]A = a \times 2^{2[/tex]

Organism B

For the 8 days, we have:

[tex]B=ar_1^8[/tex]

[tex]B=a\times 2^8[/tex]

The expression (n) for the number of times the population of B is greater than A is:

[tex]n = \frac BA[/tex]

This gives:

[tex]n = \frac{a \times 2^8}{a \times 2^2}[/tex]

[tex]n = \frac{2^8}{2^2}[/tex]

Apply law of indices

[tex]n = 2^{8-2}[/tex]

[tex]n = 2^{6}[/tex]

The expression that is not in exponential form is:

[tex]n = 2 \times 2\times 2\times 2 \times 2\times 2[/tex]

[tex]n = 64[/tex]

Hence:

The expression for the number of times the population of B is greater than A is: [tex]2^6[/tex]The expression that is not in exponential form is: 64

Read more about population growth at:

https://brainly.com/question/17520917

What is the slope of the graph shown below?


A. 1/2
B. -2
C. 2
D. 1

Answers

It’s A

Explanation: you do rise over run
The slope is b -2 in that graph

please solve this please I will mark brainliest​

Answers

Step-by-step explanation:

a)

(a+p)y=q-p

a+p=q-p/y

a=q-p/y - p

b)

x²-y²=a

x²=a+y²

x=√a+y²

c)

P=V²/R

R=V²/P

d)

3ab+s=a²b

s=a²b-3ab

e)

x²y=5k-4

x²=5k-4/y

f)

y=√x+2ac

y²=x+2ac

x=y²-2ac

g)

q-p+r=s³

p=q-r-s³

h)

2xy=4ak

x=4ak/2y

j)

7k+h-q=2q

q=7k+h-q/2

Note:if yoy have any question to ask,let me know.

If f(x) = -5n + 1 and g(x) = -6n + 2, find (f + g)(-2).

Answers

Answer:

Step-by-step explanation:

can someone help??? I need to find the value of x ​

Answers

Answer:

x=30

Step-by-step explanation:

see in the picture .all steps are there

Step-by-step explanation:

The answer is mentioned above.

Hope it helps.

I don’t even know what to do help

Answers

Answer:

see below

Step-by-step explanation:

for 1)

angle y = 180 - 110 = 70 degrees

angle z = angle y = 70 degrees

angle x = 89 degrees

for 2)

angle 1 = 180 - 85 = 95 degrees

angle 2= 180 - 95 - 85 degrees

angle 3 = 180-95 = 85 degrees

for 3)

m angle 3 = 25 degrees, same as m angle 1

Question 1
Y = 89
Z=89
X=89

Question 2
1=95
2=85
3=85

Question 3
1=25
3=25

A regular hexagon has a perimeter of 36\text{ m}36 m36, start text, space, m, end text.
What is the length of one side of the hexagon?

Answers

Answer:

6

Step-by-step explanation:

36 / 6 = 6

A hexagon's six sides are all equal to a sixth of the perimeter.

5 boxes of pencils whith ten pencils per box = what

Answers

Answer:

50 pencils in total

Step-by-step explanation:

5 boxes * 10 in each  = 50 pencil in total

what do you mean by algebra.?​

Answers

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

The parts of mathematics in which letters and other general systems are used to represent number and quantities in formulas and equations.

Please help me finish 4 and answer 5

Answers

there :))) check out image I could attach one image...sorry

What tool can you use to determine if two segments are congruent?

pencil

protractor

thermometer

ruler

Answers

Answer:

Protractor can be used to determine if two segments are congruent.

Step-by-step explanation:

A protractor is a level, crescent piece of plastic or metal that is utilized for estimating angles.Two section is supposed to be harmonious fragment if the proportion of the two portions are same and indistinguishable from each other.A protractor is an estimating instrument, ordinarily made of straightforward plastic or glass, for estimating points.

Learn more about protractor, refer :

https://brainly.com/question/3550784

Please help
with this please thank you!

Answers

Answer:

2 is vertical opposite to 4 and 3 is vertical opposite to 1

Can anyone help me with this?

Answers

Answer:

B.16 mins start from home to school or school to home

Step-by-step explanation:

I. When bike is faster than walk 3 times

  Jane is in the middle of way to school

  if she walk mid point to school is 4 mins

 then mid point to home is 4 * 3 = 12 mins

 School + Home = Total Mins

 4 + 12 = 16

More discuss, leave comment below.

HURRY BEST ANSWER WILL GET BRAINLYEST HURRY Subtract.

−135−(−258)

Enter your answer as a simplified fraction by filling in the boxes.

Answers

Answer:

123

Step-by-step explanation:

thats answrr gimme that brainliest

answer is 123

Step-by-step explanation:

-135-(-258)

as we then - x - = +

then -135+258

and we got answer 123

maria spent ⅓ of the money grandparents gave her on her adventure book. she also spent ⅑ of the money on a bag of candy. what fraction of the payment has Maria spent​

Answers

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

First add the two values

=⅓+⅑

LCM=9

=⅓x3+⅑

=

[tex] \frac{3}{9} + \frac{1}{9 } = \frac{4}{9} [/tex]

The point (-3,-1) lies in the quadrant: A.​

Answers

Answer:

[tex]\displaystyle QUADRANT\:III[/tex]

Step-by-step explanation:

[tex]\displaystyle [POSITIVE, NEGATIVE] → QUADRANT\:IIII \\ [NEGATIVE, NEGATIVE] → QUADRANT\:III \\ [NEGATIVE, POSITIVE] → QUADRANT\:II \\ [POSITIVE, POSITIVE] → QUADRANT\:I[/tex]

I am joyous to assist you at any time.

On Saturday, you bowl at Mar vista Bowl, where renting shoes costs $2 and each game bowled is $3.50. On Sunday, you bowl at Pinz where the shoe rental is $5 and each game bowled is $3.25. If you spent the same amount each day, how many games,g, were bowled?

Answers

Answer:

12 games

Step-by-step explanation:

Let the number of games is g

Total cost at Mar Vista:

3.5g + 2

Total cost at Pinz:

3.25g + 5

Since same amount spent in both places, we have:

3.5g + 2 = 3.25g + 53.5g - 3.25 = 5 - 20.25g = 3g = 3/0.25g = 12

Answer:

12

Step-by-step explanation:

Let the game be x

3.5x + 2 = 3.25x + 5

3.5x - 3.25x = 5 - 2

0.25x = 3

x = 3/0.25

x = 300/25

x = 12

Solve the equation.
2x + 3(x - 1) = 3x + 11
X = [?]

Answers

Answer:

x=7

Step-by-step explanation:

2x+3(x-1)=3x+11

___________________________________________

2x+3x-3=3x+11

-2x  -11        -2x -11

-7=1x

x=7

Pleas help and can you please show you work

Answers

Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

−1/3−(−1/2)

3 1/3 - 5

−1 4/5−(−2 7/8)

−3 3/8−7/8

4 3/4−(−1 1/12)
I WILL GIVE YOU 20 POINTES IF YOU FINISH THIS BY THE END OF THE DAY

Answers

Hi ;-)

[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]

I need help! Please show work, so I can understand!!!

Answers

Answer:

C

Step-by-step explanation:

distance Y multiply 1.0936

Answer:C

Step-by-step explanation:

M=Y(1.0936)

The bracket also represents multiplication

A refrigerator can be bought on hire purchase by making a deposit of $500 and 18 monthly installments of $56 each. Calculate the hire purchase cost of the refrigerator.​

Answers

500+ 18(56) equals total cost of refrigerator
$1508

Six times the sum of two numbers is 324.
Find the two numbers if they also have a
difference of 90.

Answers

Answer:

73 and - 17

Step-by-step explanation:

Let the number be x and y, ATQ, 6(x+y)=324 and x-y=90, x+y=56 and x-y=90, x=73 and y=-17

Summation exists the addition of a series of any kind of numbers, named addends or summands; the result is their sum or total.

What is sum of two numbers?

In mathematics, summation exists the addition of a series of any kind of numbers, named addends or summands; the result is their sum or total.

A sum exists as the result of an addition. For example, adding 1, 2, 3, and 4 provides the sum of 10, written. (1) The numbers being summed are named addends, or sometimes summands.

A summation, also named a sum, is the outcome of arithmetically adding numbers or quantities. A summation always includes a whole numeral of terms. There can be as irregular as two terms, or as many as a hundred, a thousand, or a million. Some summations include infinitely many terms.

Let the number be x and y,

ATQ, 6(x+y)=324 and

x-y=90, x+y=56 and

x-y=90,

x=73 and

y=-17

To learn more about sum of two numbers refer to:

https://brainly.com/question/2343082

#SPJ2

Which of the following describes an inference?
Please help ASAP!!!

Answers

Answer:

Step-by-step explanation:

I would say it is B

An inference is something that is not directly stated by logical deduction can be a reasonable conclusion to a conclusion drawn.

Example

There was a  person standing in front of me waiting for a bus. I made it guess that it was a girl because she was wearing pink shoes and had a pink phone in her back pocket.

I know that's a bit sexist, but I could not think of another answer. You should, however, note the evidence.

It is B, since inferences always need a educated guess.

True or False 432.8 is a terminating decimal.​

Answers

Answer:

yo this is false dont believe the hype

Step-by-step explanation:

yea thank biggie on this one

calculate the size of unknown angle??​

Answers

Sorry you’ll need to post this question again but with an image attached

Anyone know the answers 11 through 20?

Answers

Step-by-step explanation:

11) x^5

12) 5x^2

13) x+21

14) 2x-8

15) 3^3

=3*3*3

=27

16)2^5

=2*2*2*2*2

=32

17) 5^4

=5*5*5*5

=625

18)2 times a number p squared

19)3 times a number m fifth power

20)the addition of half a number and 2

Other Questions
4 The equation 5W + 3 = 4w + 9 is modeled below. w W 1 W W 1 1 W 1 1 W W 1 1 1 What value of w makes this equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. MI - SI PSA- S- Find the value of x (trig) Simplify the following 1)0.002 x 3421. 2)584.23 x 4.3214. 3)1000 x 4.3214. 4)31.234 x 300. 5)333.333 x 0.0003 Plsssss show working its pitch black in your room and you need a matching pair of socks. if there are 25 white socks and 25 blue how do you guarantee that you have a matching pair Help please and thank you (Algebra 1) the requirement qualification for the Post is Impratif1.Change the sentence to the imperative form:Nous sommes prtsSoyons prts!Vous n'avez pas peur.N'ayez pas peur!1. Vous tes attentifs. Find the value of a. Which tree is growing faster BHow many degrees mustFigure A be rotatedcounterclockwise aroundthe origin in order to lineup with Figure B?AA 90B. 180C. 270D. 360 I dont get how to do this please help mesolve for the absolute value equation show your work Find an equation of the plane that passes through the point P0 = (6, 3, 2) and is parallel to the xy-plane. g order from least to greatest 4^2,15 ,-5/2,-2 1/3,1/16 para que sirven las tecnologas blandas what acts you can do to control air and water pollution.its science subject PLEASE HELP ME ITS SO CONFUSING Which animal is known as the 'Ship of the Desert?' ... Given that f(x) = 5(7)*, find f(4) How many solutions are there to the equation below?145 = 10x - 8xO A. infinitely manyO B. 2O c. 1 lifestyle disease that occur to a person who lack exercise