-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

Please help me finish 4 and answer 5

Answers

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

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

calculate the size of unknown angle??​

Answers

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

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

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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.

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.

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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 :

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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.

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.

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

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

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

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

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. 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:

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Pleas help and can you please show you work

Answers

Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

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

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

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

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:

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.

−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]

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

Answers

Answer:

Step-by-step explanation:

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:

Please help
with this please thank you!

Answers

Answer:

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

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]

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.

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

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
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