5

Question 23 (2 points) TC The series Uk=] 10 n converges:TrueFalseQuestion 24 (2 points) n The series Zaz1 (~1)" converges to 0_TrueFalse...

Question

Question 23 (2 points) TC The series Uk=] 10 n converges:TrueFalseQuestion 24 (2 points) n The series Zaz1 (~1)" converges to 0_TrueFalse

Question 23 (2 points) TC The series Uk=] 10 n converges: True False Question 24 (2 points) n The series Zaz1 (~1)" converges to 0_ True False



Answers

Decide if the statements are true or false. Give an explanation for your answer. The series $\sum_{n=0}^{\infty}(-1)^{n} 2^{n}$ converges.

Question Number 17 asks is to find with Street Ministry Falls that in finance sees converges. If it's sequence off Tom off terms convergence, so there's a statement. Actually, it's false. Why? Because even if the sequences converging, the overall cities can stir, diverge. Example is HP harmonic progression. So let's say that is one plus one Work group has won over three plus 14 We can see that each of the term is decreasing when compared to its previous term. But over on the sequence beverages. So the statement as thoughts.

This question saying that we have a cities one upon 2 plus 1.01 x two plus 1.01 to the power to buy two plus so on plus 1.01 to the power end by two plus so on. And the caution saying that the series converges, we need to find whether the statement is true or false. So they're still out of all this question. We know that if the sequence oh partial some as a limit as and tends to infinity, then we can conclude that the cities converges otherwise diverges. And now let's find the ratio of second term cool first time. And this will be equal to 1.01 x two divided by One upon to. Hence this ratio will be close to 1.01. And now let's find the show of 3rd time to a second term. And this will be called to 1.01 to the power two divided by two. And this will be divided by 1.01 x two hands. This will also be equal to 1.01. Since we are getting the same race where every time hence you can say that this city's has a common issue. Yeah, Our calls to 1.01 and this series is a geometric series. The first time of this geometric cities is one upon to. It is given that this series converges but four a series to converge the common ratio. Our must be less than one. But here the common ratio our is 1.01, which is greater than one hands. We can conclude that the given cities 1.2 plus 1.01 upon to plus 1.01 to the power two divided by two plus so on diverges hands. The given a statement is falls. So this is the final answer for this problem. I hope you know, for the evolution. Thank you.

In this problem, we need to determine whether a given statement is true or false. The statement that has been given in this question is that if the power series submission C. N. Actually power N converges for X equals to two, then it will also convert for X equals to one. Now in order to determine whether this is sure falls. First of all, note that this series is set to converge for the value of X is equal to two. So the radius of convergence of this series, if we assume it to be our, then this series will converge for all values of excess that models of X is less than are now. Since the series converges R X equals to two. That means that this inequality will be satisfied for X supposed to do. Which means that models of two will be less than our or our will be greater than models of two, which is two. So that means that the radius of convergence must be a number which is greater than two. Hence, if we consider the point X is equal to one, then modelers of X will be modelers of one and that must be less than our because the value of art is said to be greater than two. We have obtained that it is greater than two. So that means that one satisfies this inequality and it lies in the interval of convergence. And hence this means that this series submission, see and actually powered and will also converge for X is equal to one. Hence this means that the given statement is true. Sure. Yes.

In this problem, we need to determine whether or not a given statement is true or false. Now the giving statement is that the power series C n x to the power end converges for X equals to two. Then we can conclude that the power series was also converts for X is equal to one. Now in order to determine whether or not this is true or false. First of all, let us consider I to be the interval of convergence for this. Power sees. Now the series has extra deep our head. So the interval of convergence will be centered at the point X equals to zero. Also, since the power series converges for X equals to two, We can say that the interval open -2 and closed at two. This interval will be a subset of the interval of convergence. This interval is centered at 0 -2. May or may not be included in it. So we can consider that to be open and two will be included in this interval. So this interval is a subset of the interval of convergence. Now we need to show that we need to determine whether it converges for X equals to one and know that the number one is uh element of this interval minus two, coma, too. And since this interval is a subset of I, this will imply That the .1 belongs to the interval of convergence, I since one belongs to the undeveloped convergence, hence the power series converges for X equals to one, and thus the given statement is true.


Similar Solved Questions

5 answers
Item 22Part ADuring ATP synthesis, H move from the Enter your answers separated by commaacross the inner membrane_ and into theSubmitMy Answers Give UpIncorrect; Try Again
Item 22 Part A During ATP synthesis, H move from the Enter your answers separated by comma across the inner membrane_ and into the Submit My Answers Give Up Incorrect; Try Again...
5 answers
Find particular solution to the differential equation using the Method of Undetermined Coefficients_Sy"' + 4y' -y=14A solution is Yp(t) =
Find particular solution to the differential equation using the Method of Undetermined Coefficients_ Sy"' + 4y' -y=14 A solution is Yp(t) =...
5 answers
Question 2 (10 marks)Use the information given in Question to answer the following(a) What are the variables involved? [2 marks]VariableVariable 2(b) What type of variable is each 1? For each variable pick 4 from the list:Categorical, Continuous, Discrete_ Limited, Measured, Nominal;Ordinal, Ratio, and Unrestricted [8 marks]VariableVariable 2
Question 2 (10 marks) Use the information given in Question to answer the following (a) What are the variables involved? [2 marks] Variable Variable 2 (b) What type of variable is each 1? For each variable pick 4 from the list: Categorical, Continuous, Discrete_ Limited, Measured, Nominal; Ordinal, ...
5 answers
For this question, WC define the following vectors: u = (1,2),v = (-2,3).Sketch following vectors On the same sct of axes. Make sure to label your aXCS with a scale:2uiii. u + %v FV iv. A unit vector which is parallel to (b) Let be the vector satisfying u + v + W = 0 (0 is the ZCrO vector). Draw diagram showing the gcometric relationship betwccn the three vectors U, and
For this question, WC define the following vectors: u = (1,2),v = (-2,3). Sketch following vectors On the same sct of axes. Make sure to label your aXCS with a scale: 2u iii. u + %v FV iv. A unit vector which is parallel to (b) Let be the vector satisfying u + v + W = 0 (0 is the ZCrO vector). Draw ...
5 answers
Oiltar 8 2 Jubut nnectlon and 2 produced 1 1 Test Ho TnetInal cotciusior Weenon => Vobat 3 (068 noepenoeni We cin ngect Ine null hypothesis Moreucentacuna# D 3 1 IyDout4 8 U against L 1 uccobAL 1 1 2 2 Conlani nypoueul { 1 3 1 thet (Pa 1 accept that (PI 0.01 0.06 1 (P) #0
Oiltar 8 2 Jubut nnectlon and 2 produced 1 1 Test Ho TnetInal cotciusior Weenon => Vobat 3 (068 noepenoeni We cin ngect Ine null hypothesis Moreucentacuna# D 3 1 IyDout4 8 U against L 1 uccobAL 1 1 2 2 Conlani nypoueul { 1 3 1 thet (Pa 1 accept that (PI 0.01 0.06 1 (P) #0...
5 answers
Match the columns:(p) Optically active molecules without chiral centres(q) Optically active molecules with chiral centres.(r) Compounds have even number of chiral centres(s) Optically inactive molecules
Match the columns: (p) Optically active molecules without chiral centres (q) Optically active molecules with chiral centres. (r) Compounds have even number of chiral centres (s) Optically inactive molecules...
5 answers
#15 Solve the right triangle ABC given that c = 10 cm and b = 8 cm. B106 = 8Find the remaining side ab) Find angle Ac) Find Angle B
#15 Solve the right triangle ABC given that c = 10 cm and b = 8 cm. B 10 6 = 8 Find the remaining side a b) Find angle A c) Find Angle B...
5 answers
A bearing of N45*W minus bearing of 545*E equals an azimuth ot Your answer will be in degroes t0 two place accuracy:XXXXXdegrees
A bearing of N45*W minus bearing of 545*E equals an azimuth ot Your answer will be in degroes t0 two place accuracy: XXXXX degrees...
1 answers
(a) Find the approximations $T_{10} . M_{10}$, and $S_{10}$ for $j_{0}^{*} \sin x d x$ and the corresponding errors $E_{T} . E_{M}$, and $E_{S}$ (b) Compare the actual errors in part (a) with the error estimates given by (3) and (4) (c) How large do we have to choose $n$ so that the approximations $T_{m}, M_{n},$ and $S_{n}$ to the integral in part (a) are accurate to within $0.00001 ?$
(a) Find the approximations $T_{10} . M_{10}$, and $S_{10}$ for $j_{0}^{*} \sin x d x$ and the corresponding errors $E_{T} . E_{M}$, and $E_{S}$ (b) Compare the actual errors in part (a) with the error estimates given by (3) and (4) (c) How large do we have to choose $n$ so that the approximations $...
5 answers
Label 0.33 Mglucose as isotonic; hypotonic_ or hypertonic in comparison to 0.9% NaCl (0.15 . NaCI): Click in the answer bor to display choices_select}
Label 0.33 Mglucose as isotonic; hypotonic_ or hypertonic in comparison to 0.9% NaCl (0.15 . NaCI): Click in the answer bor to display choices_ select}...
4 answers
Weekly Erercise: Week 7navlsampilbelowDefine the responst TeeCndg andthe desien matrix % and UsL malnalculanon the vector of estimated regression coefficients, The estimated covariance matrix (The residual sum of squares can be calculated by SSE Xb)'(Y Xb)-YY - bXYfind
Weekly Erercise: Week 7 navl sampil below Define the responst TeeCndg andthe desien matrix % and UsL malnalculanon the vector of estimated regression coefficients, The estimated covariance matrix (The residual sum of squares can be calculated by SSE Xb)'(Y Xb)-YY - bXY find...
5 answers
Integration Problems chapters 23 and 24 A long solid cylinder has & uniform charge density of 5.00 mC/m? in It: The radius of the cylinder Is R = 15.0 cm Use Gauss Law to develop the equation for electric field at a point inside the cylinder, and then calculate the magnitude of the electric field, E, at a distance 10.0 cm from the axis of the cylinder. Use the notation used in the figure. (3+2}Equation:Electric Field:
Integration Problems chapters 23 and 24 A long solid cylinder has & uniform charge density of 5.00 mC/m? in It: The radius of the cylinder Is R = 15.0 cm Use Gauss Law to develop the equation for electric field at a point inside the cylinder, and then calculate the magnitude of the electric fiel...
5 answers
Pon €What is the concentration of # Phosphoric acid solution ofla 2s/00 mL sample # Ihe acd requires 42.24 mL of 0.135 M NaOH for neutralizallon?View Available Hint(s)0.228 M0.0266 Mi0.0760 M0.684 MSubmitPrevipus AnseriIncorrect; Try Again; 2 attempts remaining
Pon € What is the concentration of # Phosphoric acid solution ofla 2s/00 mL sample # Ihe acd requires 42.24 mL of 0.135 M NaOH for neutralizallon? View Available Hint(s) 0.228 M 0.0266 Mi 0.0760 M 0.684 M Submit Previpus Anseri Incorrect; Try Again; 2 attempts remaining...
5 answers
Research and share your findings about a specific problem inyour intended major or career where a definite integral can apply.Be specific (do not simply say "engineering" if that is yourgeneral area!) and share the model you found. My major is ComputerScience
Research and share your findings about a specific problem in your intended major or career where a definite integral can apply. Be specific (do not simply say "engineering" if that is your general area!) and share the model you found. My major is Computer Science...
5 answers
Iokz Inias coraestnGmlcndr Man5 350n25 50 c2t Mnun t cnfDetemme arptbtsuperloe tsh amtibaunbelalbmiteeondo
Iokz Inias coraestnGmlcndr Man5 350n25 50 c2t Mnun t cnf Detemme arptbt superloe tsh amtibaunbelalbmite eondo...
5 answers
Say if the matrix is diagonalizable. If it is diagonalizable, find C such that: C-1AC = D1 2 1 1A =
Say if the matrix is diagonalizable. If it is diagonalizable, find C such that: C-1AC = D 1 2 1 1 A =...
5 answers
Find k so that the matrixFk 1 2 | A = 1 2 k 1 2 3 ]has eigenvalue A = 1.0-1/2011/2
Find k so that the matrix Fk 1 2 | A = 1 2 k 1 2 3 ] has eigenvalue A = 1. 0-1/2 01 1/2...

-- 0.020437--