The following table contains the first 5 terms of an infinite arithmetic sequence. What is the 7th term?

The Following Table Contains The First 5 Terms Of An Infinite Arithmetic Sequence. What Is The 7th Term?

Answers

Answer 1

f(n) is an arithmetic sequence, so the difference between any two consecutive terms is the same. For instance,

f(2) - f(1) = -0.6 - 0.7 = -1.3

so for all natural numbers n, we should have

f(n) - f(n - 1) = -1.3

Then

f(6) - f(5) = -1.3   ⇒   f(6) = -4.5 - 1.3 = -5.8

f(7) - f(6) = -1.3   ⇒   f(7) = -5.8 - 1.3 = -7.1


Related Questions

Which equation demonstrates the additive identity property? (7 4 i) (7 minus 4 i) = 14 (7 4 i) 0 = 7 4 i (7 4 i) (1) = 7 4 i (7 4 i) (negative 7 minus 4 i) = 0

Answers

An equation is formed of two equal expressions. The equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The additive identity property states that any number when added to 0, the result is the number itself. Therefore, the equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).

Learn more about Equation:

https://brainly.com/question/2263981

Answer: B on edge

Step-by-step explanation:

Lucas has an insect collection that contains only ants and beetles. On Tuesday sergio did not have much luck finding insects to add to his collection. The number of ants plus twice the number of beetles was only eight. The difference between the number of ants and beetles was -4. How many ants and beetles did he catch?​

Answers

Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of ants and y represent the number of beetles. Hence:

x + 2y = 8   (1)

also:

x - y = -4   (2)

x = 0, y = 4

Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.

Find out more on equation at: https://brainly.com/question/1214333

Answer:Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.

Step-by-step explanation:

Which equation accurately represents this statement? Select three options.

Negative 3 less than 4.9 times a number, x, is the same as 12.8.
Negative 3 minus 4.9 x = 12.8
4.9 x minus (negative 3) = 12.8
3 + 4.9 x = 12.8
(4.9 minus 3) x = 12.8
12.8 = 4.9 x + 3

Answers

Answer:

See below ~

Step-by-step explanation:

Writing the equation

Negative 3 less than 4.9 times a number, x, is the same as 12.8⇒ 4.9x - (-3) = 12.8⇒ 4.9x + 3 = 12.8

Solutions

4.9x minus (negative 3) = 12.83 + 4.9 x = 12.812.8 = 4.9 x + 3

Guys please help questions 7-8-9-10 are also on my page please!!

Answers

Step-by-step explanation:

4.since two sides are congruent and two angles are equal so they are similar and we can say:

[tex] \frac{14}{42} = \frac{7}{x} \\ x = 21[/tex]

DF is 21

5.since two sides are congruent and two angles are equal so they are similar and we can say:

[tex] \frac{6}{9} = \frac{10}{x} \\ x = 15[/tex]

EF is 15

6.

[tex]since \: \: \frac{4}{20} = \frac{6}{30} \: \: so \: we \: can \: say \: they \: are \: similar \: so \: we \: have \\ \\ \frac{4}{20} = \frac{5}{x} \\ \\ x = 25[/tex]

DF is 25

A squirrel burled four holes in five minutes how many holes could this world borrow in 15 minutes

Answers

Answer:

20 i'ma say 20

Step-by-step explanation:

Explanation

Each equation represent a proportional relationship. Choose the equation for which the constant of proportionality is 4/5

Answers

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex]16x-20y=0\implies -20y=-16x\implies y=\cfrac{-16x}{-20}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x \\\\[-0.35em] ~\dotfill\\\\ 25y=20x\implies y=\cfrac{20x}{25}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x \\\\[-0.35em] ~\dotfill\\\\ y=0.8x\implies y=\cfrac{8}{10}x\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x[/tex]

16. You have $20 to spend. You buy socks that cost $3 per pair. a. How many pairs of socks did you buy if you have $8 left? a.​

Answers

Answer:

4

Step-by-step explanation:

20-8 = 12

12/3 = 4

I need help pls ..,...

Answers

E. 21The previous chart on your question showed eight people being 7, nine people 11, and four were 13

                                        Add the values together

                                                     8 + 9 + 4

                                                          21

Find the x-intercept of a line that has the following equation: 2y=3x−6

Answers

Answer:

2

Step-by-step explanation:

To find the x-intercept of the equation we have to substitute y = 0 in it.

=> 0 = 3x - 6

=> 3x = 6

=> x = 2

Therefore the line will meet x-axis at (2,0) which means it'll have x - intercept of 2 units.

please help this was due yesterday

Answers

Answer:

2) 2^8

3)7^9

4)  1/3^6

5)x^10

6) y^8

7) x^10

Step-by-step explanation:

how do I find x? pls asap​

Answers

Answer:

Step-by-step explanation:

To find the unknown angle in this geometry, you must make use of several facts.

an inscribed angle is half the measure of the arc it interceptsthe sum of arcs of a circle is 360°the measure of a central angle is the same as the measure of the arc it intercepts.

__

The long arc intercepted by the inscribed 130° angle will measure 2×130° = 260°. The sum of arcs of a circle is 360°, so the short arc intercepted by the 130° angle (and by x°) is ...

  x° = 360° -260° = 100°

The measure of angle x is 100°.

A 6 sided die and a coin is tossed, how many different possible outcomes are there? Need help ASAP!!

Answers

Answer:

the answer is 12

Step-by-step explanation:

you toss the dice and coin let’s say it lands on 2 and heads there is one possibility. there is only 6 sides to the dice and 2 sides to a coin. 6 x 2 = 12.

Answer: coin = 26 sided die = 62 × 6 = 12


Step-by-step explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes. The answer would be 12. Hope that helps!!

Please help! Will mark brainlyest.

Answers

Should be 3) have a wonderful day

This equation shows a way to find a fraction equivalent to 2032
2
0
3
2
.

Enter numbers below to correctly complete the equation.

Answers

Answer:

Given Below.

Explanation:

[tex]\sf \dfrac{20}{32} = \dfrac{20}{32} \ \div \ 1 = \dfrac{20\div 4}{32 \div 4} = \dfrac{5}{8}[/tex]

Follow the sequence. and divide the multiply the following fraction.

32 ÷ ? = 8? = 4

=======

20 ÷ 4 = 5

Answer:

[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]

Step-by-step explanation:

When reducing fractions to their simplest equivalent, we need to divide the numerator and denominator by their highest common factor.

Factors of 20:   1, 2, 4, 5, 10, 20

Factors of 32,    1, 2, 4, 8, 16, 32

Therefore, the highest common factor is 4.

[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]

Please help this is my last time asking these 2 questions I need the correct answers no more fake links pls

Answers

Answer for 1st question:

The answer is A. 4/20

Step-by-step explanation:

The probability of landing on a vowel would be 2/5.

The probability of landing on an even number would be 2/4.

Now we just need to solve the probability of landing on a vowel and an even number.

2/5 x 2/4 = 4/20.

Thereore, the probability of landing on a vowel and an even number is 4/20.

Answer for 2nd question:

The answer is B. 1/20

Step-by-step explanation:

The probability of landing on a C would be 1/5.

The probability of landing on a 4 would be 1/4.

Again, we just need to solve the probability of landing on a C and a 4.

1/5 x 1/4 = 1/20.

Therefore, the probability of landing a C and a 4 is 1/20.

List three diffrent ways to write 5^11
I have already got 5x5x5x5x5x5x5x5x5x5x5

Answers

Answer:

Other than your answer...

Step-by-step explanation:

5^6 x 5^5

48,828,125

5^2 x 5^9

hope this helps :)

Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?

Answers

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

[tex]\rm t = \dfrac{72}{r}[/tex]

where r is the interest rate and t be the time

The time for the Jill will be

[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]

The time for the Cheryl will be

[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]

More about the Algebra link is given below.

https://brainly.com/question/953809

a. 50
b. 30
c. 80
d. 180

Answers

Answer:

50 degrees

Step-by-step explanation:

All of the angles in the picture need to add up to 180 degrees.

<TVU = 30 degrees, so the 3 remaining angles need to add up to 150 degrees.

<QVR is = to <RVS  and <RVS is = to <SVT, so all 3 angles are = to each other

<QVR = <RVS = <SVT

We have 150 degrees remaining & all 3 angles have to be the same, so each angle is 50 degrees

A 50
Have a good day

please help me with this problem.​

Answers

Answer:

X = 81

Missing angle measurement = 73 Degrees

Step-by-step explanation:

Sense the angle presented is a strait angle, meaning it has an exact mesurment of 180°

You can take the known portion of 107° and subtract that from 180°, giving you 73°

To find X you take the missing angle's value and add 8, leaving you with 81

The point (2, 3) is on the line given by which equation below?


ОА. y= 3х
В. ya x+ 1
ос. у= -3х
O D. y = x-1

Answers

Answer:

B) y = x+1

Step-by-step explanation:

the point is (2,3), so x = 2, y = 3

A. y = 3x.  
3 ≠ 3*2

B. y = x + 1.
3 = 2+1

C. y = -3x
3 ≠ -3*2

D. y = x-1
3 ≠ 2-1

= 10 × (7 − 2
3
) + 40 × 10−1

Answers

Answer:

239

Step-by-step explanation:

239 because do the answers in the parenthesis first then do the rest.

Which of the following conditions must be met if you want to use z-
procedures to construct a confidence interval for a population proportion?
1. The sample size must be at least 30 (some texts say 50).
II. The population must be at least 10 times as large as the sample (some
texts say 20).
III. Both np and n(1-P) must be at least 10 (some texts say greater than 5).
A. I only
B. Il only
C. III only
D. II and Ill only
E. All are necessary conditions.

Answers

Answer: II and III only (2 and 3 only)

Step-by-step explanation: took test and got it right

What is 0.12 as a percent?
0.12%
120%
1.20%
12%

Answers

Answer:

12% :)

Step-by-step explanation:

0.12 x 100 = 12%

Have an amazing day!!

Please rate and mark brainliest!!

Answer is 12%, because you multiply the decimal value by 100 and add a percent symbol.

a hummingbirds brain has the weight of approximately 2.94x10-3. a elephants brain has the weight of 1.76x10^. approximately how many times heavier is the elephants brain

60

600

6,000

60,000

Answers

Answer:

60000

Step-by-step explanation:

I need help, I'll give Brainest ​

Answers

Answer:

it should be cost, because when there is more quantity of something there will be less price.

The murphys’ gross annual family income is $120,500. mr. murphy referred to the graph shown below and calculated that his family will spend $28,920 on taxes this year. what is wrong with mr. murphy’s calculation? a circle graph titled murphy's annual expenses. federal taxes, 24 percent; state/local taxes, 10 percent; housing and household, 27 percent; food, 7 percent; medical care, 5 percent; transportation, 9 percent; recreation, 4 percent; clothing, 5 percent; other, 9 percent. a. he has calculated only federal taxes. b. he has calculated only state taxes. c. he does not need to include federal taxes. d. he does not need to include state taxes.

Answers

Mr. Murphy's calculation of the taxes they are to pay this year is wrong because He has calculated only federal taxes.

What are state taxes?

State income tax is a direct tax levied by a state on income earned in or from the state.

There are several taxes that an employed person must pay including:

Federal income taxesFederal social security taxesState taxes

Mr. Murphy only calculated the federal taxes and did not include the state ones which are usually higher than the federal tax. Once he includes the state tax, his calculation will be correct.

In conclusion, state taxes need to be paid as well.

To know more about state taxes at;

brainly.com/question/1775528.

Answer:

a. he has calculated only federal taxes

Step-by-step explanation:

In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. these are the winning numbers. how many different selections are possible? assume that the order in which the numbers are drawn is not important. a. 1287 c. 371,293 b. 154,440 d. 120

Answers

The order in which the numbers are drawn is not important will be 1287.

What is the combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

When order of selecting things does not matter, then the combination odd n things taking r at a time is given by :-

[tex]nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Given : The total numbers in lottery = 13

The total numbers to choose to win the lottery =- 5

Then the combination of 13 numbers taken 5 at a time is given by

[tex]13C_r=\dfrac{13!}{5!(13-5)!}=1287[/tex]

Hence the order in which the numbers are drawn is not important will be 1287.

To know more about Combination follow

https://brainly.com/question/11732255

Unit of Length Length (meter)
Decimeter
10-1
Centimeter
10-2
Millimeter
10-3
Micrometer
10-6
Nanometer
10-9
micrometer(s)

Answers

10^4 micrometres

Step-by-step explanation:

the answer is in the image above

slove for n:(3 over 5 to the power of 2 ×25=3 n ​

Answers

Answer:

n = 2

Step-by-step explanation:

Given equation:

[tex]\left(\dfrac35\right)^2 \times 25=3^n[/tex]

[tex]\textsf{Apply exponent rule }\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c} :[/tex]

[tex]\implies \left(\dfrac{3^2}{5^2}\right) \times 25=3^n[/tex]

[tex]\textsf{Apply}\: \left(\dfrac{a}{b}\right) \times c=\dfrac{ac}{b} :[/tex]

[tex]\implies \dfrac{3^2\cdot 25}{5^2}=3^n[/tex]

[tex]\textsf{Apply}\:5^2=5 \times 5=25:[/tex]

[tex]\implies \dfrac{3^2\cdot 25}{25}=3^n[/tex]

Cancel the common factor 25:

[tex]\implies 3^2=3^n[/tex]

[tex]\textsf{If}\:a^{f(x)}=a^{g(x)},\:\textsf{then}\:f(x)=g(x) :[/tex]

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

Answer:

n = 2

Step-by-step explanation:

Hello!

Step 1: Expand the fraction

We can use the exponent rule to square 3/5.

([tex]\frac35[/tex])² = [tex]\frac{3^2}{5^2}[/tex][tex]\frac{9}{25}[/tex]

Step 2: Simplify

Now, we can multiply

[tex]\frac{9}{25} * 25 = 3^n[/tex][tex]9 = 3^n[/tex]

Now, we need to find how many times 3 is multiplied to get 9 ,and that would be 2

What is 2 log subscript 5 baseline (5 x cubed) one-third log subscript 5 baseline (x squared 6) written as a single logarithm?

Answers

The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic expression is given as

[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]

We know that formulas

[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]

Then we have

[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:

B

Step-by-step explanation:

Edge 2022

Other Questions
why do the Native Americans found farming in the indian territory difficult A swimming lesson by Jewelle L. Gomez Now you get a chance to think about the joys of having a kindred. Lets imagine you have a favorite cousin, Amy. Your mom and Amy's mom are sisters (that is, Amy's mom is your aunt. ) Amy has another cousin named Caroline. Amy's dad and Caroline's dad are brothers. You and Amy and Caroline are great friends and hang out together all the time. You always introduce Caroline to other people as your cousin. Are you and Caroline cousins Beginning in 2001, one of the goals of the war in afghanistan was to use force to seize oil supplies. contain the spread of communism. weaken the threat posed by al-qaeda. remove saddam hussein from power. What could be the best description about Koalas Look at the equation.X-3 = 12Which value of x makes this equation true?4(b915d) 36 How does a weak currency give a country an unfair advantage in trade?. Customer support is when you provide a customer that has a question or needs help with technical assistance on how to use your products correctly. "The synaptic connections operate on a `use it or lose it principle". What the statement means? WILL GIVE BRAINLIEST TO CORRECT ANSWER, THANKS, AND 5STARSAlthough there is no denying that something killed a third of the population of Ancient Athens, there has been debate as to cause for many years. A historian who lived through it called it The Plague and so for many years, it was accepted to be Yersinia pestis, the same as the bacteria responsible for the Black Death. Recently, though, scientists have become convinced that the outbreak was actually due to typhoid. Given that this opinion of an event that occurred hundreds of years ago has only recently changed, what conclusion can be reached?Group of answer choicesHistorians understand the language of written records more clearly and have discovered that the symptoms match typhoid.Scientists have been able to examine samples of human teeth found in the Athens area and isolated typhoid in the pulp.A recent resurgence of typhoid in the Athens area leads scientists to believe that the climate is perfect for typhoid but not for Yersinia pestis.There is no real reason for the change except that some scientists believe the plague is just a catch all. Where is the highest observation deck in the u. S. ?. GIVEN BRAINLIEST. ASAP An increased hematocrit increases blood ___________________ which ______________ resistance to blood flow. Estimate the value Square Root 49 to your best judgement and explain why How many grams of NaOH are needed to neutralize 50 grams of H2SO4 T-shirts Unlimited is conducting a breakeven analysis on unbleached cotton tops. Fixed costs are $100,000 and the per-unit contribution to fixed costs is $20. To break even, the company must sell ________ units. Group of answer choices 500 200 20,000 5,000 What is the process by which a prospective juror is stricken from consideration with no reason provided in the sounders novel , Describe how Sounder has changed? PROVIDE DETAILS. Find the median of the data. 24,74,61,29,38,27,68,54 HELP PLSBRAINLEIST10 POINTS