determine the next term in the geometric sequence. 1/2, 1/3, 2/9,4/27

Answers

Answer 1

Geometric progression is a sequence that can be found by multiplying the same value by the preceding number. The next term in the sequence is 8 / 81.

What is geometric progression?

A geometric progression is a sequence of numbers other than 0 and can be estimated by multiplying a specific digit by the prior number. It is given as,

an = a₁rⁿ⁻¹

Where r is the common ratio or the number.

For the given sequence the common ratio (r) is 2/3.

Substituting values:

an = (1/2) ×  (2/3)ⁿ⁻¹

Applying r:

an=2ⁿ⁻¹ / 2 × 3ⁿ⁻¹

Substitute n to find the nth term as:

a₅=2⁽⁵⁾⁻²/ 3⁽⁵⁾⁻¹

a₅=8/ 3⁽⁵⁾⁻¹

a₅ = 8/ 81

Therefore, the next number on the sequence is 8/81.

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Related Questions

Write the chemical equation for the follow- ing: "carbon plus oxygen produces carbon dioxide." Label the parts of the equation.​

Answers

Carbon: C
Oxygen: O2

C + O2 —> CO2
Reactants Product

A gas that has a volume of 22.8 L, a temperature of 42 degrees Celsius (!!), and an
unknown pressure has its volume increased to 37 L and its temperature decreased to
29 degrees Celsius (!!). If I measure the pressure after the change to be 1.69 atm,
what was the original pressure of the gas?

Answers

P1V1T2 = P2V2T1

P1(22.8)(302) = 1.69(37)(315)
P1(6,885.6) = 19,696.95
P1 = ~ 2.86 atm

Write the ionization equation and the ka expression for aqueous formic acid. What is the name of the anion that forms?

Answers

Ionization reaction gives the ionization state of the chemical species. Its ionization will result in a conjugate base of the formic acid and release a hydrogen ion.

What is the acid dissociation constant?

The acid dissociation constant is the concentration of the acid that has been dissociated into its constituents ions in the solution.

The ionization equation of the formic acid is:

[tex]\rm HCOOH \rightleftharpoons HCOO^{-} + H^{+}[/tex]

The acid dissociation constant (Ka) for formic acid is given as,

[tex]\rm Ka = \rm \dfrac {[H^{+}][HCOO^{-}]}{[HCOOH]}[/tex]

Anions are negatively charged ions and formate ions generated in the dissociation of the formic acid.

Therefore, the formate ion is an anion.

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How to calculate delta g for autoionization of water

Answers

The Delta G for the autoionization of water can be calculated as [tex]\Delta G=-RTlnK[/tex].

What is the autoionization of water?

The autoionization of water is given as the reaction of the two water molecules, resulting in the formation of the ions of hydronium and hydroxide ion.

It can be expressed as:

[tex]\rm 2\;H_2O\;\leftrightharpoons\;H_3O^+\;+\;OH^-[/tex]

The[tex]\Delta G[/tex] of the autoionization of water can be given as;

[tex]\Delta G=-RTlnK[/tex]

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what is the formula of the T method

Answers

Answer:

T = (Z x 10) + 50

Explanation:

In the product 6o2, what does the coefficient mean?.

Answers

Answer:

It means there are 6 O2 molecules

Explanation:

30 ml of. 150 m cacl2 is added to a 15 ml of. 100 m agno3

Answers

The mass of the formed precipitate of AgCl in the reaction is 1.29 grams.

How do we find moles from molarity?

Moles (n) of any substance from molarity (M) will be calculated by using the below equation:
M = n/V, where

V = volume in L

Given chemical reaction is:
2AgNO₃(aq) + CaCl₂(aq) → 2AgCl(s) + Ca(NO₃)₂(aq)

Moles of CaCl₂ = 0.150M × 0.03L = 0.0045 molesMoles of AgNO₃ = 0.100M × 0.015L = 0.0015 moles

From the stoichiometry of the reaction, mole ratio of AgNO₃ to CaCl₂ is 2:1.

0.0015 moles of AgNO₃ = reacts with 1/2×0.0045 = 0.00075 moles of CaCl₂

Here CaCl₂ is the limiting reagent, and formation of precipitate depends on this only.

Again from the stoichiometry of the reaction:

0.0045 moles of CaCl₂ = produces 2(0.0045) = 0.009 moles of AgCl

Mass of 0.009 moles AgCl will be calculated as:

n = W/M, where

W = required massM = molar mass = 143.45 g/mol

W = (0.009)(143.45) = 1.29g

Hence required mass of precipitate is 1.29 grams.

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If 15. 1 ml of the barium hydroxide solution was needed to neutralize a 2. 22 ml aliquot of the perchloric acid solution, what is the concentration of the acid?

Answers

The concentration of the 2.22 mL perchloric acid that was neutralized with barium hydroxide is 3.1 M.

What is neutralization?

The neutralization is given as the reaction of the acid and the base forming salt. The reaction of 1 mole of barium hydroxide requires 2 moles of perchloric acid to neutralize completely.

The volume of barium hydroxide given was 15.1 mL. The moles of barium hydroxide has been:

[tex]\rm 1000\;mL\; Ba(OH)_2 = 0.2288 \;mol Ba(OH)_2\\\\15.1\;mL\;Ba(OH)_2=0.0034\;mol[/tex]

The moles of perchloric neutralized by 0.0034 mol barium hydroxide will be:

[tex]\rm 1\;mol\;Ba(OH)_2=2\;mol\;HClO_4\\\\\rm 0.0034\;mol\;Ba(OH)_4=0.0069\;mol\;HClO_4[/tex]

The volume of perchloric has been 2.22 mL. The concentration of the acid is given as:

[tex]\rm Concentration=moles\;\times\dfrac{1000}{volume(mL)}\\\\Concentration=0.0069\;mol\;\times\dfrac{1000}{2.22}\\\\Concentration=3.1\;M[/tex]

The concentration of the perchloric acid aliquot is 3.1 M.

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Substance A reacts spontaneously with substance B at room temperature. Substance A reacts with substance C at room temperature only in the presence of a catalyst. Which statement best explains this difference?

Answers

Between A and B

The reaction is spontaneousMeans reaction is happening by itself.So randomness of A and B is increasing .

The highest probability is that A and B are solids and they are forming liquid or gases.

Between A and C

The reaction is non spontaneousRandomness of particles is decreasing.

Highest probability is that A and C are gases and they are turning into liquid or solid

1: Why are scientific observations important?
Every experiment uses qualitative observations.
Every experiment ends with observations.
Every experiment begins with observations.
Every experiment uses quantitative observations.
2:
What is one way in which a field investigation can differ from a classroom or laboratory experiment?
In field investigations, it is much more difficult to separate your control and experimental groups.
In field investigations, you are usually working with much larger animals than in the lab.
In field investigations, you are always working with microscopic organisms.
In field investigations, it is much easier to separate your control and experimental groups.
3: Qualitative observations are ______.
based on your senses
measurable
often taken using instruments
only made by scientists in a laboratory
4: Which observation is quantitative?
The flower has five petals.
The flower has a thin stem.
The flower is purple.
The flower is tall.
5: Which statements are true about observations? (Select all that apply.)
Lab experiments rely on observations, but field investigations do not.
We naturally make observations about the world around us.
They are statements made based on something seen, noticed, or measured.
Observations are only made in a laboratory setting.

Answers

According to the research, scientific observations are important because every experiment begins with observations.

What are observations?

It consists of receiving knowledge of the outside world through our senses, it means that we naturally make observations about the world around us and the first step proposed by the scientific method.

Scientific observation, on the other hand, refers to the process of detailing any phenomenon of nature with analytical intent, usually later replicated in a laboratory (experimentation) or controlled environment.

Similarly, there are qualitative observations that are based on the senses, which are generally more subjective, while quantitative observations are more objective, focusing mainly on numbers, for example "the flower has five petals" is a quantitative observation.

Therefore, we can conclude that according to the context, scientific observations are important because every experiment begins with observations.

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Answer:

1. Every experiment begins with observations

2.In field investigations, it is much more difficult to separate your control and experimental groups.

3.based on your senses

4.The flower has five petals.

5.We naturally make observations about the world around us.

They are statements made based on something seen, noticed, or measured. (I think 5 is wrong, if it is then sorry guys dont report me, i tried my best.)

Explanation:

How to tell which acid whill have the hightest perceent ionization

Answers

We can tell which acid which have the highest percent ionization on the basis of pH value.

What is percent ionization?

The % ionized indicates how much of the original chemical has ionized. As a result, we compare the ion concentration in solution to the neutral species' original concentration.

If any acid have a high pH value then they must show high percent ionization because they are strong in nature and show full dissociation.

Hence acids with high pH value will show highest percent ionization.

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If a compound has an empirical formula of znco3 and a molecular mass of 500g/mol, what would be the molecular formula?

Answers

Zn4(CO3)4 . Tried to show the math! (To make sure that the MF mass = 500 g/mol, I did the math to the side and it worked out!) Whenever there is this type of question, always find molecular mass and trying to find the conversion number between masses.

A gem has a mass of 5. 50 g. When the gem is placed in a graduated cylinder containing 9. 500 ml of water, the water level rises to 10. 45 ml

Answers

The density in grams per milliliter  7.975.

What is density?

Density is the mass of per unit volume. Density is equals to mass into volume.

D = M x V

The mass of a gem is given, M = 5.50

The volume is 10.45 - 9.00 = 1.45

Thus, the density is

D = 5.50 × 1.45 = 7.975

Thus, the density in grams per milliliter is 7.975.

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Calculate number of moles in 2.71 g of CCl4

Answers

The number of moles is 54.2ml is 2.71




A sample of hydrogen is collected in a flask over water. The partial pressures are 789 mmHg for H₂
and 60 mmHg for H₂O. What is the total pressure exerted by the mixture of gasses?

Answers

The total pressure of the gas is calculated as 849 mmHg.

What is partial pressure?

The term partial pressure is the pressure that is exerted by an individual gas in a mixture of gases.

In this case, the partial pressures of hydrogen and water are 789 mmHg and  60 mmHg respectively.

Thus, the total pressure of the gas =  60 mmHg +  789 mmHg = 849 mmHg.

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how many moles are in 23.8 g of sulfur dioxide

Answers

Answer:

0.371

Explanation:

number of moles = mass / Ar

= 23.8g / 32.1 + (16.0 × 2)

= 0.37129485179 = 0.371 (3 s.f).

hope it helps :)

Write the chemical equation for this reaction. Use the picture I provide!

Answers

Answer:

H2O

H2O

Explanation:

because the are only two hydrogen that can react to Oxygen

calculate the number of particles of 285 grams of Al2O3

Answers

The number of particles of 285 grams of   aluminum oxide  (Al2O3) is  1.68 x 10²⁴ particles.

Number of moles of the Al2O3

The number of moles of the given aluminum oxide is calculated as follows;

Al2O3 = 101.96 g/mol

moles = 285/101.96

moles = 2.795 moles

1 mole = 6.02 x 10²³ particles

2.795 moles = ?

= 2.795  x  6.02 x 10²³ particles

= 1.68 x 10²⁴ particles.

Thus, the number of particles of 285 grams of   aluminum oxide  (Al2O3) is  1.68 x 10²⁴ particles.

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Classify each chemical compound as ionic or molecular:
1. MnP ionic or molecular?
2. AIOH3 ionic or molecular?
3. C3S2 ionic or molecular?

Answers

The following is a classification of the compounds;

MnP - ionicAIOH3 - ionic C3S2 - molecular

What is an ionic substance?

The term ionic substance refers to a substance that is composed of ions. It is a substance that can dissolve in water.

The following is a classification of the compounds;

MnP - ionicAIOH3 - ionic C3S2 - molecular

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Nitrate reduction test consider the uninoculated tube. A. Is it a positive or negative control?

Answers

The nitrate reduction test with the uninoculated tube considers it a positive control.

What is a nitrate reduction assay?

The nitrate reduction assay is given as the assay with the ability of the bacteria or enzyme to reduce nitrate to nitrite.

The test is performed by considering the difference in the inoculated and the uninoculated tubes with bacteria. The tube with the bacteria and the nitrate is termed a test tube.

The tube with nitrate only without bacteria is termed as a negative control, as it will not have the results for the reduction and can be used to assess the test.

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If a neutral sodium atom has one electron removed, what is the result?

Answers

Answer: When this atom loses an electron, the result is a positive ion.

Explanation:

Calcualting molar stability of aucl3 0/010 m mgcl2 solution

Answers

The molar solubility of AuCl₃ in 0.010M MgCl₂ is 4 ×10⁻²⁰M.

What is Ksp?

The solubility product constant, Ksp, is the equilibrium constant for a solid substance dissolving in an aqueous solution. And for the AuCl₃ Ksp will be written as: Ksp = [Au³⁺][Cl⁻]³

AuCl₃(aq) ⇄ Au³⁺(aq) + 3Cl⁻(aq)

Let the solubility of the AuCl₃ in 0.013m solution of magnesium chloride is x, of Au³⁺ is x and of Cl⁻ is 3x. But we know that MgCl₂ is a strong electrolyte and it completely dissociates into its ion and will produce 2 moles of chloride ions. For this solution let we consider the volume is 1 litre then the concentration of chloride ions in MgCl₂ is 2(0.010) = 0.020M.

So, in MgCl₂ solution concentration of Cl⁻ becomes = 3x + 0.020.

Value of Ksp for AuCl₃ = 3.2 × 10⁻²⁵

On putting all values on the Ksp equation, we get

Ksp = (x)(3x + 0.020)³

Value of 3x is negligible as compared to the 0.020, so the equation becomes

3.2 × 10⁻²⁵ = (x)(0.020)³

x = 3.2×10⁻²⁵ / (0.020)³

x = 4 ×10⁻²⁰M

Hence the molar solubility of AuCl₃ in 0.010M MgCl₂ is 4 ×10⁻²⁰M.

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NEED THIS ASAP PLEASE HELP
Which of these is an example of a physical change?
A. a banana ripening in the air
B. hydrogen burning in the air
C. zinc reacting with an acid
D. liquid water turning into vapor

Answers

Answer:

A

Explanation:

Banana ripening in air is an example of oxidation reaction.

A 5. 00 l container contains ch4, h2, and xe at 35°c with a total pressure of 1. 81 atm. If there are equal moles of each gas, what is the partial pressure of h2?

Answers

If there are equal moles of each gas, what is the partial pressure of H₂ is 0.362.

What is partial pressure?

The pressure that one of the gases in a mixture would exert if it were in the same volume on its own.

According to the Dalton's law of partial pressure

The Partial pressure of a gas = (Total pressure × mole fraction of the particular gas)

Partial pressure of H₂ is

[tex]\dfrac{1.81}{5.00} = 0.362[/tex]

Thus, the partial pressure of H₂ is 0.362.

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Concentration required to begin precipitate pbcl2 for pbcl2 ksp=1. 17×10−5

Answers

The concentration required to begin to precipitate PbCl2 for PbCl2 is 0.0216 M.

What is molarity?

Molarity is the measure of the concentration of any solute in per unit volume of the solution.

The reaction is [tex]\rm Pb^2^+(aq) + 2Cl^-(aq) \rightarrow PbCl_2(s).[/tex]

The molarity of lead is 0.025 M

The ksp is given 17×10⁻⁵

Now, calculating the concentration

[tex][Pb^2^+] = 0.025 M.\\Ksp = 1.17 \times 10^-^5\\Ksp = [Pb^2^+] \times [Cl^-]^2\\[Cl^-] = \dfrac{\sqrt{ Ksp}}{[Pb^2^+]} \\\\[Cl^-] = \dfrac{\sqrt{ 0.0000117}}{0.025} \\[Cl^-] = 2.16 \times 10^-^2M.[/tex]

Thus, the concentration required to begin to precipitate PbCl2 for PbCl2 is 0.0216 M.

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Calculate the pH of a 1.4 x 10-4 M solution of HCI.

Answers

Answer:

Here is the solution....hope it helps :)

H2504 has a pH of 1. How many times more acidic is it compared to the chemical
above?
HELPPP

Answers

I know it’s 20

Mark brainiest

Identify the atom below.
a.) H
b.) He
c.) Bе
d.) С

Answers

Answer:

B. Helium

Explanation:

Correct me if I'm wrong

) If 35.0 mL of 1.50 M solution is diluted to 100. mL, what is the concentration of the dilute solution

Answers

Answer:

0.53 (sig figs) or 0.525 original answer

Explanation:

If you use the formula (M1)(V2)=(M2)(V2) and plug in the values, you are solving for the missing X, which is the concentration.

What is the name of rover that was just sent to Mars in March of 2021?
A.Spirit
B.Curiosity
C.Opportunity
D.Perseverance​

Answers

b. curiosity and i know because i had the exact question
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