## Question

###### Write the numbers $1,2, \ldots, 2 n$ on a blackboard, where $n$ is an odd integer. Pick any two of the numbers, $j$ and $k,$ write $|j-k|$ on the board and erase $j$ and $k$ . Continue this process until only one integer is written on the board. Prove that this integer must be odd.

Write the numbers $1,2, \ldots, 2 n$ on a blackboard, where $n$ is an odd integer. Pick any two of the numbers, $j$ and $k,$ write $|j-k|$ on the board and erase $j$ and $k$ . Continue this process until only one integer is written on the board. Prove that this integer must be odd.

## Answers

#### Similar Solved Questions

5 answers

##### Function. the of (XL)oasjue 7 derivative 49x 2 Ax the Find 2

function. the of (XL)oasjue 7 derivative 49x 2 Ax the Find 2...

5 answers

##### Solve the equationlogx(20) = 2X= (Simplify your answer: Type an exact answer: )

Solve the equation logx(20) = 2 X= (Simplify your answer: Type an exact answer: )...

5 answers

##### Mleast cna 0" the &15 Lers above Is NOT coectMecrt Delerminn rayur that[5 A-6 :H6; Zr+" 31Note ILUpeulcnall on thy DotaPutna AunnaitaounnoFiaf mTaeo Yos hre Mercted Iea Jt [eratrd a&uu â‚¬ 0a444 Eral AZrnn Dmiel4ud [TALF47d03Dnscanettot UrL

Mleast cna 0" the &15 Lers above Is NOT coect Mecrt Delerminn rayur that [5 A-6 :H6; Zr+" 31 Note ILU peulcnall on thy Dota Putna Aunnait aounno Fiaf mTaeo Yos hre Mercted Iea Jt [eratrd a&uu â‚¬ 0a444 Eral AZrnn Dmiel4ud [TALF47d 03 D n scanet tot UrL...

5 answers

##### Math 270, Mulb-'anal &Jrolesso=Math-220-Fall-2Cacdue dzeraagdbbde2 | " | *hlath 720LncuFnpc _(10 Points) UJsing tle parAI trization _ evaluate th: linc integral [(+xy o whn i~given r() =/i+2j (U<t<1)43u* 12/112018Type hercsearch2

Math 270, Mulb-'anal & Jrolesso= Math-220-Fall-2 Cacdue dzeraagdbbde 2 | " | * hlath 720 Lncu Fnpc _ (10 Points) UJsing tle parAI trization _ evaluate th: linc integral [(+xy o whn i~given r() =/i+2j (U<t<1) 43u* 12/112018 Type herc search 2...

5 answers

##### Problem 18.05Two stationary point charges of 5.00 nC and 2.00 nC are separated by a distance of 55.0 cm An electron is released from rest at a point midway between the charges and moves along the line connecting them What is the electric potential energy of the electron when it is

Problem 18.05 Two stationary point charges of 5.00 nC and 2.00 nC are separated by a distance of 55.0 cm An electron is released from rest at a point midway between the charges and moves along the line connecting them What is the electric potential energy of the electron when it is...

5 answers

##### An elevator is moving Up while slowing to rest at the top floor: As it slows, what are the correct signs of the work done by gravity grav) and the work done by tension in the supporting cable tens) ?Wgrav is positive and Wtens is positive graF is negative and Wtens is positive Wgrav is positive and Wters is negative Wgrav is negative and Wtens is negative

An elevator is moving Up while slowing to rest at the top floor: As it slows, what are the correct signs of the work done by gravity grav) and the work done by tension in the supporting cable tens) ? Wgrav is positive and Wtens is positive graF is negative and Wtens is positive Wgrav is positive and...

5 answers

##### Hooke's law is usually given as Fspring k In your own words; please explain what this means. Be sure to explain why the minus sign is therel

Hooke's law is usually given as Fspring k In your own words; please explain what this means. Be sure to explain why the minus sign is therel...

2 answers

##### Kue JI 'uopuny J41 JO sjurod UnuUJU/UnuXeu [[e pUT I(s1dOt) 'Surseapap/Burseanu! S! f YIYM UO S[EAIOJU! pU! (s1d0t) (xN-x)=(x)f =4137

Kue JI 'uopuny J41 JO sjurod UnuUJU/UnuXeu [[e pUT I(s1dOt) 'Surseapap/Burseanu! S! f YIYM UO S[EAIOJU! pU! (s1d0t) (xN-x)=(x)f =4137...

5 answers

##### Cilculate the ccncertrzticn ofHCO;aquec1 sclution 0f0.213 Mcarbonic acid, H-COz (aq}.HCO; ] =

Cilculate the ccncertrzticn ofHCO; aquec1 sclution 0f0.213 Mcarbonic acid, H-COz (aq}. HCO; ] =...

5 answers

##### Problem 11.(1 point) The set B = {2 4x2 4+x - &x2 _ 28x2 (13 + 3x)} is a basis for P2_ Find the coordinates of p(x) = 28x2 (13 + Sx) relative to this basis:[p(x)JB

Problem 11. (1 point) The set B = {2 4x2 4+x - &x2 _ 28x2 (13 + 3x)} is a basis for P2_ Find the coordinates of p(x) = 28x2 (13 + Sx) relative to this basis: [p(x)JB...

5 answers

##### Choose Ihe correct equation which represents the Newton's second Law: mvObF =mlaC.a = Flm0.m = alf

Choose Ihe correct equation which represents the Newton's second Law: mv ObF =mla C.a = Flm 0.m = alf...

5 answers

##### Comment on the statement: Planbng trees reduce a tmospheric CO2 appronriate long- stalcdy becausC UI: olqamc caldon MncMCcs *MMmcuti atmospietic CO2 Mtiseman cenuny .

Comment on the statement: Planbng trees reduce a tmospheric CO2 appronriate long- stalcdy becausC UI: olqamc caldon MncMCcs *MMmcuti atmospietic CO2 Mtiseman cenuny ....

5 answers

##### Provide complele mechanism (with proper arrow pushing) Ior the following reaction and predict the major product. (10 points)_Br10, Provide reasonaole synthetic route (multiple reaction steps) from the Riven starting matenal t0 the desired product: There no one reaction that can do this transformation But there are few reactions You know that; whendone In the proper sequence, can make tte product Be sure t0 draw the proper structures for the result of each individual step_ may be helpfulto work b

Provide complele mechanism (with proper arrow pushing) Ior the following reaction and predict the major product. (10 points) _Br 10, Provide reasonaole synthetic route (multiple reaction steps) from the Riven starting matenal t0 the desired product: There no one reaction that can do this transformat...

2 answers

##### Consider two layered multi layered perceptron model given by: G(VReLutu)). WIo(r)RcLula) MaX(Uf)WThe output of - this network is clearly scalar value between is defined by where Y_" is the target output:The loss functionNow consider the following inputs, weights and target output.T = I2 -1|M =V = [ 4 VT = 0You need to compute the following: (Note if the answer is not an integer then round it to one decimal place eg. 0.387 0.4)0un0u1234 0 3 8BlankBlank #Blank #Blank # 4Blank #Blank #

Consider two layered multi layered perceptron model given by: G(VReLutu)). WI o(r) RcLula) MaX(Uf) W The output of - this network is clearly scalar value between is defined by where Y_" is the target output: The loss function Now consider the following inputs, weights and target output. T = I2 ...

5 answers

##### How would you obtain bootstrap replicates to construct a bootstrap confidence interval for the median of a population?The central limit theorem assures that the sample median is approximately normally distributed: We may thus derive a confidence interval as sample median 1 2 SE)The bootstrap can be used only for statistics based on the sample mean_Repeatedly take random samples with replacement from the original data, compute the sample mean for each, and then use the Cl percentile algorithm pre

How would you obtain bootstrap replicates to construct a bootstrap confidence interval for the median of a population? The central limit theorem assures that the sample median is approximately normally distributed: We may thus derive a confidence interval as sample median 1 2 SE) The bootstrap can b...

5 answers

##### Q2 (@)The average height of four BEXI033 Statistics students were reported as follows 180, 185,190 und [95 cm.Suppose two different rundom sumples ure to be chosen from the population by replacing thesccond samplc with new height.Compute all possible random samples and compule thc sample mcan for cach oncUse them t0 compule(ii)The probability distribution of the sample mean (iii) The mean of the sample mean(iv)Variance of the sample mean(v)The standard deviution of the sample meun(JAs an automob

Q2 (@)The average height of four BEXI033 Statistics students were reported as follows 180, 185,190 und [95 cm. Suppose two different rundom sumples ure to be chosen from the population by replacing the sccond samplc with new height. Compute all possible random samples and compule thc sample mcan for...

5 answers

##### 1. How many grams of H2O are needed to dissolve71 grams of Na2SO4 in order to prepare a0.10 molal solution? 2. Determine the number of grams of H2SO4 neededto prepare each of the following solutions. a. 250 mL of a 6.0 M solution b. 250 g of a 10% solution c. 250 g of a 0.10 molal solution

1. How many grams of H2O are needed to dissolve 71 grams of Na2SO4 in order to prepare a 0.10 molal solution? 2. Determine the number of grams of H2SO4 needed to prepare each of the following solutions. a. 250 mL of a 6.0 M solution b. 250 g of a 10% solution c. 250 g of a 0.10 molal solution...

5 answers

##### Calculate the bond enthalpy of LiF using the Born - Haber cycle The bond length of LiF is L.51 Use n-|0.

Calculate the bond enthalpy of LiF using the Born - Haber cycle The bond length of LiF is L.51 Use n-|0....

5 answers

##### A 52 mL sample of argon gas has a temperature of 468Â°C. What will the temperature be in Â°C when the volume of the gas isdecreased to 39 mL at constant pressure? Report theanswer Â± 1degree.

A 52 mL sample of argon gas has a temperature of 468Â°C. What will the temperature be in Â°C when the volume of the gas is decreased to 39 mL at constant pressure? Report the answer Â± 1 degree....