the first term of a g.p is 7 and the last term is 448 . the sum is 889 calculate the common ratio

Answers

Answer 1

Answer:

Common ratio = 2

Explanation:

The formula for nth term of a geometric progression is given as:

aₙ = arⁿ⁻¹

Given the following values

First term a = 7

r = unknown

n = unknown

Last term = nth term = aₙ =  448

Sum of the terms = 889

Substituting

448 = 7rⁿ⁻¹

Divide both sides by 7

rⁿ⁻¹ = 448/7

rⁿ⁻¹ = 64

Converting 64 to a power

rⁿ⁻¹ = 2⁶

Equating the powers together,

n - 1 = 6

n = 6+1 = 7

Number of terms (n) = 7

Therefore, the common ratio of the geometric progression( r ) = 2


Related Questions

name the two products when calcium carbonate (CaCO3) is heated

Answers

Answer:

The products are Calcium oxide and Carbon dioxide.

Explanation:

When calcium carbonate is heated, thermal decomposition occurs.

Calcium calcium Calcium oxide + Carbon dioxide

what is the molarity of a solution prepared by dissolving 20.0 g of NaOH in enough water to make 0.50 L og solution?

Answers

Answer:

Molarity of a solution = 1 mol / L

Explanation:

Given:

Amount of NaOH =20 g

Amount of water = 0.50 l

Find:

Molarity of a solution

Computation:

1 mol of NaOH = 40 g

So,

Moles of NaOH = 20 / 40 g = 0.50 mol NaOH

Molarity of a solution = moles of solute / Liters of solution

Molarity of a solution = 0.50 / 0.50

Molarity of a solution = 1 mol / L

How might a scientist confirm the results of other expirements by doing an experiment

Answers

when other scientists repeat experiments and come up with the same results it validates it and show that the answers are true

hurry I'm on a timer


Which two materials form igneous rocks upon cooling?
A. lava and crystals
B. magma and lava
C.crystals and intrusive rocks
D.intrusive rocks and sediment from rocks​

Answers

Answer:

B. Magma and Lava

hopefully this helped :3

Answer:

B: magma and lava

Explanation:

Other than carbon being relatively small, what is another reason that carbon can form so many compounds? the ability to form four covalent bonds the ability to change shape the ability to form a diatomic molecule the ability to split its electrons

Answers

Answer:

Ability to form four covalent bonds.

Explanation:

Carbon is the first member of group 14. It is essentially a nonmetal. It is a small atom which regularly exhibits tetra valency. This means that carbon is able to form four covalent bonds to four chemical species which may be the same or different each time. This leaves room for many different possible combination patterns of carbon with other chemical species.

Hence carbon forms a very large number of compounds due to its small size and its ability for form four covalent bonds to other chemical species in any bonding situation.

Answer: the ability to form four covalent bonds

Explanation:

An aluminum kettle weights 1.05 kg and has a heat capacity of 0.9211 J over grams Celsius how much heat is required to increase the temperature of the scuttle from 23.0 Celsius to 90

Answers

Answer:

64799.4 J

Explanation:

The following data were obtained from the question:

Mass (M) = 1.05 kg = 1.05 x 1000 = 1050g

Specific heat capacity (C) = 0.9211 J/g°C

Initial temperature (T1) = 23°C

Final temperature (T2) = 90°C

Change in temperature (ΔT) = T2 – T1 =

90°C – 23°C = 67°C

Heat required (Q) =....?

The heat required to increase the temperature of the kettle can b obtain as follow:

Q = MCΔT

Q = 1050 x 0.9211 x 67

Q = 64799.4 J

Therefore, 64799.4 J of heat is required to increase th temperature of the kettle from 23°C to 90°C.

What type of bond exists between the atoms in a molecule of N2?

Answers

Answer:

covalent bonds

Explanation:

Nitrogen atoms will form three covalent bonds (also called triple covalent) between two atoms of nitrogen because each nitrogen atom needs three electrons to fill its outermost shell.

(if it is still confusing i have another way of explaining so jus let me know :)

Answer: Covalent

Explanation:

what is photosynthesis?​

Answers

Photosynthesis is the process in which green plants use sunlight to make their own food.

Answer:production of glucose in the presence of light and chlorophyll from carbondioxide and water

Explanation:

What did the photoelectric experiment demonstrate?
A. Light can cause electrons to be released from the surface of a
metal.

B. Light can deposit electrons on a metal surface.

C. Light can make metal atoms move around, producing electricity.

D. Light can heat metal enough to produce electricity.

Answers

Explanation:

When an electromagnetic wave like light hits a material, the electrons gets emitted. The emission of electrons is called photoelectric effect. The emitted electrons are called photoelectrons. In this process the transfer of energy takes place from light to an electron.

Hence, the correct option regarding the photoelectric experiment is (A) " Light can cause electrons to be released from the surface of a  metal."

Lawrence experienced a major accident in class. His entire test tube rack with all his chemicals fell and broke. There were chemicals all over the floor. Which would be used to clean his mess? eye wash safety shower sponge chemical spill kit

Answers

Answer:

The correct option is;

Chemical spill kit

Explanation:

When cleaning simple chemical spills that do not spread or indirectly put people and property in danger and does not negatively impact o the environment the risk, quantity and likely impact of the spill should be evaluated then with a chemical spill kit which comprises of personal protective clothing, materials that are absorbent, waste bags, broom and dustpan and a waste container can be used absorb, contain the residues, clean the spill and put the collected waste away.

Answer:

Chemical spill kit

Explanation:

uh yeah

What are some similarities and differences between group 1, 0 and 7 elements on the periodic table?

Answers

Answer:

Difference : group 1 elements are known as alkali metals, group 7 elements are known as transition metals

Similarities : Both group 1 and 7 elements become more reactive as u go down and up respectively

What is the name of this alkane? Two central carbons are bonded to C H 3 at each end, H below, and C H3 above the left carbon and H above the right carbon.

Answers

Answer:

the first alternative is the answer.

Explanation:

first u choose the longest chian. that is the horizontal chain. then u count the carbon number. then u see if there are alkyls the alkyl is methyl. and it is 1. so, you first write the alkyl number (1) then the alkyl name (methyl) then you write the alkane name (butane) because it consists 5 carbons. hope it helped.

The correct answer is 1-methyl butane.

What are alkanes?

Alkanes are a series of compounds that contain carbon and hydrogen atoms with single covalent bonds. These are known as saturated hydrocarbons. This group of compounds consists of carbon and hydrogen atoms with single covalent bonds.

Does 1 methyl butane exist?

While writing the IUPAC name the chain with the highest number of C atoms is considered to be the parent chain and since 1-methyl butane; methyl also forms the part of the chain so we shall use pentane (normal pentane and not 1-methyl butane) so literally, pentane and 1-methyl butane is the same molecule and not isomers.

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For Group 2A metals, which electron is the most difficult to remove? the second the first the third All the electrons are equally difficult to remove.

Answers

Answer:

the third

Explanation:

when you remove the first the nucleur attraction becomes greater pulling the other valence electron closer thus the more you remove the harder it gets because the pull from the nucleus increases.

There are various kind of elements that are present in periodic table. Some elements are harmful, some are radioactive, some are noble gases. Option C is correct option.

What is periodic table?

Periodic table is a table in which we find elements with properties like metals, non metals, metalloids and radioactive element arranges in increasing atomic number.

The elements that belongs to Group 2A metals are alkaline earth metals, their electronic configurations is [noble gas ]ns² so, it is easy to remove first electron and then second electron but it is very difficult to remove the third electron because after removing two electron we get noble gas configuration and effective nuclear charge also increases after removal of second electron.

Therefore, the correct option is option C.

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fill in the plank
The ----- cycle is a monthly cycle which releases a new egg into the female reproductive system

Answers

The menstural cycle!!!

A metal sample is heated and placed into the water in a calorimeter at room temperature. Which statement best describes how the calorimeter can be used to determine the specific heat capacity of the metal sample? Energy transfers to the metal from the water and calorimeter until they are all at room temperature. Energy transfers from the metal to the water and calorimeter until they are all at room temperature. Energy transfers to the metal from the water and calorimeter until they all reach a single temperature. Energy transfers from the metal to the water and calorimeter until they all reach a single temperature.

Answers

Answer:

Energy transfers from the metal to the water and calorimeter until they are all at room temperature.

Explanation:

Calorimetry is the process that is used to determine the amount of heat that has been transferred in any process. In any chemical or physical process, the amount of energy is required. This energy is measured by the process of calorimetry. A calorimeter is a device that is used in this process. The heat that has been used in the process is measured and the change in the temperature is noted.

Answer:

b

Explanation:

Why is the mole important? Group of answer choices It can be applied to any type of object: molecules, atoms, ions, etc. It gives us a convenient way to express large numbers. It is useful when converting between grams and atoms or molecules. All of the above.

Answers

Answer: the mole

Explanation:

The mole is the unit of amount in Chemistry.

It provides a bridge between the atom and the macroscopic amounts of material that we work with in the laboratory.

The breaking down and changing of rocks at or near Earth's surface is called _____.

Answers

The answer is weathering

Answer: Weathering

Explanation:

Weathering can break down rocks and change it shapes.

differentiate between short period and long period​

Answers

The question is incomplete. The complete question is as follows:

Differentiate between a short period and long period production functions.

Answer:

Difference between a short period and long period production functions is as follows:

Short period: During this period at least one of the factors of production is available in a fixed quantity. For example: Framers having fixed land for growing crops.

Long period: During this period all the factors of production are variable. So change in any variable can increase the production.

Which factor plays the biggest role in delaying the detection of childhood
diseases?

Answers

Answer:

poor access to health care providers

Explanation:

without health care providers you cant get tested.

Characterize EACH of the three given statements as being TRUE or FALSE and then indicate the collective true-false status of the statements using the choices provided. (1) Nonbonding electron pairs are present on the F in the molecule HF. (2) The two atoms involved in a multiple covalent bond must always be atoms of the same element. (3) A molecule of hydrogen peroxide contains the same number of atoms as a molecule of sulfur trioxide does. Group of answer choices All three statements are true. None of the statements are true. Only one of the statements is true. Two of the three statements are true.

Answers

Answer:

(1) Nonbonding electron pairs are present on the F in the molecule HF. True

(2) The two atoms involved in a multiple covalent bond must always be atoms of the same element. False

(3) A molecule of hydrogen peroxide contains the same number of atoms as a molecule of sulfur trioxide does. True

Two of the three statements are true.

Explanation:

Non bonding electrons are also known as lone pairs. They are electron pairs present on an atom but are not involved in chemical bonding. They are usually localized on the atom of one of the bonding elements. In HF, there are three nonbonding electrons localized on the fluorine atom that do not participate in chemical bonding.

When multiple bonds are formed between atoms, they must not be atoms of the same element, for instance carbon and nitrogen forms multiple covalent bonds in chemical moieties such as they cyanide ion.

A molecule of hydrogen peroxide (H2O2) contains four atoms just as a molecule of sulphur trioxide(SO3) does.

Find the area of a circle inscribed in an equilateral triangle of side 18 cm. ( Take pi= 3.14).​ answer should be 54.78 cm²

Answers

Answer:

The answer according to me.............

Explanation:

Use the pictures shown to identify three ways of drawing hydrocarbon molecules.
Then write the molecular formulas. (1 point each)

Answers

Answer:

The three ways to in which the hydrocarbons are represented are;

a. The ball and stick model

b. Condensed structural formula

c. Skeletal structure

The molecular formula are

a. C₇H₁₆

b. C₆H₁₄

c. C₅H₁₂

Explanation:

a. The ball and stick model of organic compounds, displays the atoms and bonds in three dimensions, representing the atoms by spares and the bonds by rods

b. The condensed structural formula are similar to the structural formula with the difference that the formula is written in a linear fashion which conserves space and increases ease of writing and are written out faster.

c. In the skeletal structure diagram, the atoms are of the organic compound are combined together in the structural drawing of the essential features of the organic compound. In essence, a skeletal structure, depicts the skeleton of a compound as it is made up of the molecule's skeletal atoms.

The three ways  in which the hydrocarbons are represented are:

a. The ball and stick model

b. Condensed structure

c. Skeletal structure

The molecular formula are

a. C₇H₁₆

b. C₆H₁₄

c. C₅H₁₂

Let us understand these models and forms one by one:

a. The ball and stick model of organic compounds, displays the atoms and bonds in three dimensions, representing the atoms by spares and the bonds by rods.

b. The condensed structural formula are similar to the structural formula with the difference that the formula is written in a linear fashion which conserves space and increases ease of writing and are written out faster.

c. In the skeletal structure diagram, the atoms are of the organic compound are combined together in the structural drawing of the essential features of the organic compound. In a skeletal structure, depicts the skeleton of a compound as it is made up of the molecule's skeletal atoms.

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A balloon is filled with 0.250 mole of air at 35 degrees celsius. If the volume of the balloon is 6.23 liters, what is the absolute pressure of the air in the balloon?

Answers

Answer:

pressure = 1.014atms

Explanation:

use ideal gas

PV=nRT

P = (0.250 x 0.08206 x 308)/(6.23)

P = 1.014 atm

PLEASE HELP!! thank you Which element does X represent?

Answers

Answer:

95 Kr36

Explanation:

The process by which a large nucleus split into two smaller nuclei is called nuclear fission and occurs after the nucleus has absorbed a neutron that is a product of the radioactive decay of another atom. The formed fission fragments are unstable and extremely radioactive.

The number of joules needed to raise the temperature of 32 g of water from 12 °C to 54 °C is
The specific heat of water is 4.184 J/g °C.

Answers

Answer: 5,600 J

Explanation:

Joules = mass x specific heat x temperature change

32 x 4.184 x (54 - 12)

= 133.888 x 42

= 5,623.296

(significant figures => 5,600)

3 point different between fundamental units and derived units

Answers

Answer:

Fundamental Units:

1) Fundamental units also called base units are used to describe base quantities

2) They cannot be expressed in terms of derived units.

3) Examples : Meter, Ampere, Second etc.

Derived Units:

1) Derived units are used to describe derived quantities.

2) They can be expressed in terms of fundamental units.

3) Examples: Newton, Joule, Hertz, Pascal etc.

Answer:

3diferences

Explanation:

fundamental are independent but derived are dependent

there are 7fundamental units but there are many derived units from fundamental.

meter, second, kilogram, etc are examples of fundamental but m/s^2, newton, joule, etc are derived units

endothermic or exothermic?
The reaction between ammonium nitrate and water absorbs heat from the surrounding environment.
Three drops of concentrated sulfuric acid added to 100 milliliters of water in a beaker makes the beaker hot.
Ammonium chloride dissolved in a beaker of water makes the beaker cold.
Uranium atoms are split to produce nuclear energy.
Water separates into hydrogen and oxygen when an electric current is run through it.
Methane and oxygen are combined to produce methanol and heat.

Answers

Answer:

Endothermic

Exothermic

Endothermic

Exothermic

Exothermic

Exothermic

Explanation:

Endothermic is when a reaction absorbs heat.

Exothermic is when a reaction releases heat.

Endothermic reactions:

The reaction between

ammonium nitrate and

water absorbs heat

from the surrounding

environment.

Ammonium chloride dissolved

in a beaker of water makes the

beaker cold.

Water separates into

hydrogen and oxygen

when an electric current

is run through it.

Exothermic reactions:

Three drops of concentrated

sulfuric acid added to 100

milliliters of water in a beaker

makes the beaker hot.

Uranium atoms are split to

produce nuclear energy.

Methane and oxygen are

combined to produce

methanol and heat.

#platofam

State and explain the observations when chlorine gas is bubbled through a solution of
fresh iron (II) sulphate solution.

Answers

Answer:

A reduction-oxidation (redox) reaction will occur.

Chlorine gas (Cl2) will accept electrons to form Cl- ions.

The Iron(II) ions (Fe2+) will lose electrons to form Fe3+ ions. (Iron (III) ions)

Fe2+ ions are green, while Fe3+ ions are yellow,

so the observation will be the solution turning from green to yellow.

how do we solve a WEAK/STRONG acid ​

Answers

Answer:

Strong acids completely dissociate into their ions in water, while weak acids only partially dissociate. There are only a few (7) strong acids, so many people choose to memorize them. All the other acids are weak.

Explanation:

Weak acids. Explaining the term "weak acid" A weak acid is one which doesn't ionise fully when it is dissolved in water. Ethanoic acid is a typical weak acid. It reacts with water to produce hydroxonium ions and ethanoate ions, but the back reaction is more successful than the forward one.

A strong acid is an acid which dissociates completely in water. That is, all the acid molecules break up into ions and solvate (attach) to water molecules. Therefore, the concentration of hydronium ions in a strong acid solution is equal to the concentration of the acid.

pls mark brainiest

hope this helps

I'll mark you brainliest if you answer first! - Iron filings and copper (II) sulphate solution are mixed together and they produce elemental copper and iron (II) sulphate solution. Based on the quantities of the reactants used in the experiment, determine which is the limiting reagent. For the excess reagent, determine how much in grams is left over. (2 grams of iron was used, and 7 grams of copper

Answers

Answer:

First, write an equation for the reaction involved.

Fe + CuSO4 ---> FeSO4 + Cu

Now, calculate the no. of moles added in the reaction. (n.o.m. = mass /molar mass)

No. of moles of Fe added = 2 / 55.8

= 0.0358 mol

No. of moles of CuSO4 = 7 / (63.5 +32.1+16x4)

= 0.04386 mol

From the equation, the mole ratio of Fe : CuSO4 = 1:1,

meaning 1 mole of Fe reacts with 1 mole of CuSO4.

It also indicates that the no. of moles reacted in Fe equals to the no. of moles reacted in CuSO4.

0.04386 > 0.0358

The no. of moles of CuSO4 is higher than that of Fe, meaning all moles of Fe will be reacted while not all CuSO4 reacts.

Hence Fe is the limiting reagent, and CuSO4 is in excess.

All 0.0358 moles of Fe reacts, meaning the no. of moles of CuSO4 left unreacted = 0.04386 - 0.0358

= 0.0080596mol

mass of CuSO4 unreacted = 0.0080596 x (63.5 +32.1+16x4)

= 1.28g

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