Q: The series (n+3) converge to n=1
A: by expanding the series we can find out the sum
Q: Find all real numbers k so that the series (n – 3)* + (n – 3) (n³ – n³ – 1)'/3 n=4 converges.
A: Explanation of the answer is as follows
Q: 8. Find the value of p for which the series 2n Inn (In (In n))" is convergent. n=3
A: the given series, ∑n=3∞1n ln n.lnln n p
Q: 1 80. For which a does converge? na In n n=2
A: Consider the given series ∑n=2∞ 1na lnn There are three cases, Case-1, when a=1, then ∑n=2∞ 1n lnn…
Q: or converges conditionally: kl 2) Σ- Sk - k + 4 k +1 k=1
A:
Q: Investigate the convergente of the following series! O Eo 2n3 +n2 1 ο Σ le". Ο Σ 3" Ln-1 n32
A: according to our terms and condition i have solved first 3 parts for next parts repost
Q: 1 The sequence converges to - 2 n² – 1 - Vn2 +n Select one: O True O False
A:
Q: 1 Determine whether (-1)". converges conditionally, absolutely, or not at all. Vn2 + 1 n=0
A:
Q: 21. Show that E(-1)"+1; 2n converges n! absolutely. n=1
A:
Q: Help for 2a,2b,2c.
A: Given,
Q: 2" + 3" (a) Show that the series converges. 4" + 5" k2 k=1 n=1
A: Note: According to bartleby we have to solve the first question please upload the question…
Q: 1 8. Use the integral test to determine whether converges or diverges. n In(n + 1) n=1
A: Consider the given information. y=∑n=1∞1nlnn+1 Now, write the subsequence of the above.…
Q: 6n The sequence a, 20 +64n 3. OA Converges to 4 13 OB. Converges to 32 OC. diverges O D.None of…
A: We will solve the following.
Q: The series 7 2n E,(-1)" 4 n= is absolutely convergent. Select one: True O False
A: Root Test : Suppose we have series ∑ an .Define, L = limn→∞ an1n .Then ,(…
Q: Show that E-2 ((In n)ª/n²) converges for -o 1. n=2
A:
Q: 1 1 The series Σ ( – 1)" • Σ( - ( + ) " / n n n=1 converges to ∞. converges conditionally. O…
A:
Q: Does the series 3 n2 – 6 n=3 converge?
A:
Q: 1 4. Determine whether the series S =E(-1)"-1. converges absolutely, converges conditionally V4n +…
A: Solution: The given series is conditionally convergent. Explanation: Given This is an…
Q: 6 The series E is k=0 5k Converges to Diverges None 15 Converges to 2 이5
A: Given the series is ∑k=0∞65k Sequence will be converges if it has finite value. Sequence will…
Q: 1 79. For which a does converge? n(In n)" n=2
A: Let the given series be - y = ∑n=2∞ 1nlnnuWe can write it as - y = ∫2∞ 1nlnnadn…
Q: n=1n2 +1 converges using 2 n =1 diverges using n =1 converges using 2 n =1 diverges using n =1 else…
A: Infinite series is the sum of the infinite sequence. A series is convergent if the sequence of…
Q: 1 iii. Use the result in (i) to test for convergence 2, =1 =1 In2 +5
A:
Q: 8. 5n The sequence 1+ 5n n=1 Converges to Ve O None 1 Converges to 1. Converges to Ve Diverges
A: We have to solve
Q: The sequence {Pn =}1 converges n-1 to p = 0 of order a = %3D O a. 3 O b. 1 О с. 2
A: For some number p, if the condition limn→∞an+1anp=M>0 is satisfied, then the order of convergence…
Q: n2 + 5n + 2 Determine whether converges abso- (1+ )" lutely, converges conditionally, or diverges.…
A:
Q: 2. Find the sum of the following convergent series. 3n+1 а. 6n-1 b. n=16
A: Given problem :- Find the sum of given convergent series
Q: (b) Σ%1(-1)n+1 n2+5 n² +4 (b) Σ- (- 1)"+1
A: Alternating series.
Q: The series k=1 5( − 1)k+1 - kl.1 O converges diverges.
A:
Q: The series 2(k+2)3-k is k=1 convergent to 6 divergent convergent to 8 O None 15 convergent to 2
A: Given - A series To find - Nature of Series , i.e. Convergence or Divergence
Q: 1.2 Determine whether or not the series of functions {S„(x)} *-1} converges uniformly k=1 on [-a, a]…
A:
Q: 1. The sequence {V(n + 4)(n + 6) – n} is A) Convergent to 0. B) Divergent. C) limn-o V(n + 4)(n + 6)…
A: the sequence given is (n+4)(n+6)-n
Q: n 17 we can't use the ratio test to determine if the series n =1n +3 converges or diverges ut of…
A:
Q: (b) Find the interval of convergence of the following series Σ (¹+-½)²³ ( (x - 1)" n=1
A:
Q: 1. Determine whether the following converge or not (a) E k3 +1 k=1 2+1 (b) k=1
A: The given sequence is ∑k=1∞k3k3+1 Consider ak=k3k3+1 Now…
Q: (14) 4. Decide if the series k(2+2i)* 3k converges or diverges. Explain your answer and specify…
A:
Q: (-1)** 3³3n Зп Use the root test to determine if > converges or diverges. 52n+3 n=1
A: Given series is
Q: - 1)n+'] (a) Converges to Diverges .......... 5"
A:
Q: 1.5 Show that the series (a – 6)(a – 26) „3 + (a- b)(a- 26)(a- 35) | z+- 2! 3! 4! converges…
A:
Q: 1 5. Determine whether the series S= >) converges or diverges and identify the test you used. (3n +…
A:
Q: 00 4 converges if and only if the value of x is on the interval The series n2x+7 n=1 [ Select ] […
A:
Q: 1 1) Show that the series N? converges/diverges. N2 N
A:
Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of…
A: Solution is given below:
Q: The series (k+1)* is k=1 p°k! a) Converges absolutely b) Conditionally convergent c) Diverges d)…
A: Given : series ∑k=1∞k+1kpkk! To determine the convergence of the series and choose correct option.…
Q: 1.2 Show that the series does not converge uniformly on R but the convergence n! n=0 is uniform on…
A: Given series is ∑n=0∞ xnn!. We have to show that this series does not converge uniformly on ℝ. First…
Q: Suppose that > an(x+7)" converges at x = 3. At - n=1 which of the following values of x must the…
A: Solve the following
Q: IV. Determine if the given is convergent or divergent. s In"(n*) 23n2 #4. n=1
A: Given series is ∑n=1∞lnn(n4)23n2
Q: 3. Find all values of x such that the series > (x – 6)" is convergent. n=1
A:
Q: 42n The given power series (x + 8)" is 9n n=0 convergent if |(x + 8)||
A:
Q: 3. Σ n=1 n(n +3) 11 converges to Select one: O True False
A: Given series, ∑n=1∞3nn+3
Q: 10.2 Determine whether the series n? – 4n +1 n3 + 2n? n=1 converges or diverges.
A: We have to solve given problem:
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- Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of correctly receiving a -word coded message made up of -bit words.Suppose the proportion of all college students who have used marijuana in the past 6 months is p = 0.40. In a class of 150 students that are representative of all college students, would it be unusual for the proportion who have used marijuana in the past 6 months to be less than 0.33?2- The researcher hypothesized 85% of the students (n=185) surveyed will improve test scores from C grade to B grade. Select the correct number of students expected to increase from a C grade to B grade. In the space below type the answer in steps.
- Suppose that a poll taken 10 years ago found that 56% of parents spank their children. Suppose a recent poll of 300 adults with children find that 143 indicated that they spank their children. Assuming parents attitudes toward spanking has not changed since the original poll how many of the 300 parents surveyed would be expected to spank their children.A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 99 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim atα= 0.05.To determine the number of in a lake , a conservationist catches 450 trout's , tags them, and releases them. Later 88 are caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged in the second sample was the same as the proportion of tagged in the total population, estimate the number of in the lake.
- Suppose that 0.63 of all adults own a car. Random samples of adults are taken and the proportion of each sample that owns a car was found.31.21% of all sample proportions were greater than 0.6937. What is σp^? σp^=4. A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 90 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim at α = 0.05.A medical researcher says that less than 25% of adults in a certain country are smokers. In a random sample of 250 adults from that country, 17.6% say that they are smokers. At α=0.05, is there enough evidence to support the researcher's claim?
- We are interested in estimating the proportion of people that can identify Nebraska but not Vermont. In a class of 55 students, each student was requested to select a sample of 6 people, show each person a map of the US and ask the person to identify the states of Vermont and Nebraska. The following numbers are the counts that each student got, that is, each number is the count of people in the student sample of 6, that could identify Nebraska but not Vermont.3344010110020030002020001100002010000001000200000001010Note: You can cut and past these numbers into an excel spreadsheet to help you calculate the mean and the standard deviation and compute the confidence interval. If you have trouble pasting them, paste them to a text file first and then copy from there.When we collect all the students' data, we have a sample size of 6x55=330.Of the sample of 330 people, what proportion were able to locate Nebraska but not Vermont? (round answer to 3 decimals) Find a 95% confidence interval for…A survey of 800 randomly selected recent degree recipients found that 155 received associate degrees; 450 bachelor degrees; 20, first professional degrees; 160, master degrees; and 15, doctorates. Is there sufficient evidence to conclude that at least one of the proportion differs froma report which stated that 23.3% were associate degrees; 20.6%, master degrees; and 2%, doctorates? Use a=0.05Suppose that a fair coin is tossed 10 times independently. Determine the p.f. of the number of heads that will be obtained
