Find the largest number 8 such that 1 if 0 < r – 0.9| < S then <1.6. 0.92 8 =

Q: 1+i Find the least positive value of n, if =1. 1-i

A: We know that i2  = -1   i4  = 1

Q: Find the margeinul denity go In Problim e. assume the obured valee ofXi x = 3 value 5(1/X3) Find the

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Q: Given, sequence of functions {f()} given by f₁ (~) = n for ^+ [0,1] and O otherwise

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Q: n E(-1)* k + k)"-1, n2 1. k=0

A: The given value of ∑k=0n-1knkkm=0. The main objective is to detemine the value of ∑k=0n-1knk2+kn-1.…

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Q: Let (s) be a sequence of real number, we say s, is Decreasing if for each nEN Sn >Sn+1

A: Given a statement

Q: 5. Determine the largest interval that pλ can lie in to approximate p to at least two significant…

A: To determine: The largest interval that pλ can lie in to approximate p to at least two significant…

Q: = {x|x EN and x <30} = {even numbers} B= {multiples of 4} = {prime #s} D= {odd multinles of 33

A: Introduction: If an element is in the first set, the second set, or both, it is in the union of two…

Q: A sequence S, is said to be bounded above if there is some number N such that Sn+12.a O Sn=N.cO S,…

A: Bounded above: A sequence an is said to be bounded above if there exists a real number M such that…

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Q: A Sequence is a number and rang is real whose domain is natural ..... function unbounded .b O series…

A: A sequence is a function whose domain is natural numbers and range is real.

Q: (:)- n -k+1 n n>k>1 k k - 1 2. 2 4 k- 2 k- 1 0000009

A: solutionGiven2≤k≤n-2nk=n-2k-2+2n-2k-1+n-2k

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Q: Prone the tollowing Stadement . Fa any integes thint comesder h as odd & also n as even) n22, n3 is…

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Q: 6. Let p e Z be prime and n e z+. Prove that the largest power of p which divides n! is given by…

A: In mathematics, Legendre's formula gives an expression for the exponent of the largest power of a…

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → o. 5 n3(i - 1)2 i =…

A: According to formula:∑k = 1n k = n(n+1)2∑k = 1n k2 = n(n+1)(2n+1)6∑k = 1n k3 = n2 (n+1)24

Q: In a parhiculor bowling league. a sampla of 38.games had an average Score ef 199. a 90% Con fidence…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: If Σan converges and an &gt; 0 for all n, can anything be said about Σ(1/an)? Give reasons for your…

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Q: A sequence {an} is called decreasing an S an+1 for all n E N. ulgn

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Q: Find the limit of the sequence {an} = {In n+4 4n2-2 limn0 an help (numbers) n→∞

A: Here I am attaching image so that you understand each and every step.

Q: verges absolutely or diverges. A 2" 1. n! 00 n=1

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Q: For each sequence an( "a sub n"), find a number k such that n^k*an has finite non-zero limit. an =…

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Q: A decimal approximation for √3 is 1.7320508. Use a calculator to find 21.7, 21.73, 21.732, 21.73205,…

A: Given:Given that a decimal approximation for 3=1.7320508.To find:we have to find the following 1)…

Q: The limit of the sequence {an}{an}as nnapproaches infinity equals ll iff ∀ε>0 ∃ m ϵ N ∀?>0 ∃ ? ? ℕ…

A: Given that, The limit of the sequence {an} as n approaches infinity equals l. Definition of the…

Q: 6. lim 8+ in i = 1

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Q: A sequence Sn is siad to be bounded below if there is some number N such that .... .a .b Sn+ n +1 .C…

A: Consider the given information. Now, define bounded. A sequence an is said to be bounded if and only…

Q: Find the largest value of n such that: Σ E (9k – 5) < 3000 k=1 n =

A: We expand the sum and use the know formulas of "sum of first n integers"

Q: Let an be the number of sets S of positive integers for which > Fk = n, kES where the Fibonacci…

A: Given, ∑k∈sFk=nWhere, Fkk≥1Fk+2=Fk+1+Fk Fk is Fibonacci sequence. F1=1F4=3 Now, for k=1…

Q: Find the limit of s(n) asn → ∞. 64 ( n(n + 1)(2n + 1) n3 s(n) 6

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Q: 7) Let S100 be the number of heads that turn up in 100 tosses of a fair coin. Assume that E[X;] :…

A: Given : E [Xi] = 0.5 Var [Xi] = 0.05

Q: 8. If n+1, 2n-1 and n+5 are in AP. Find the value of n

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Q: The series If lim an = 1/π, then an diverges. np will diverge only when p € [−1,1].

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Q: Compute аn+1 lim n-00 An for (-3)" an = 2n+1 * Enter your answer as a decimal number, not as a…

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Q: A sequence {an} is called decreasing if an < an+1 for all n E N. ylgn ihi

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n o. lim n - 00 7 + in i…

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → o. lim n- o= 1 4 +

A: Given : Limit equation is given , Now we have to find formula for the sum of n terms .

Q: Consider the sum. k3 n n4 k=1 Write a formula to compute the sum for any natural number n. Answer:…

A: Given sum, ∑k=1nk3n4

Q: Suppose a ball is thrown upward to a height of ho meters. Each time the ball bounces, it rebounds to…

A: According to the company policy, we will answer only one question. Please resubmit the other…

Q: A sequence s, is siad to be bounded below if there is some number N such that ..... S,=N.a O S,SN.b…

A: The given sequence is sn and it is bounded below. It is known that "A sequence is bounded below if…

Q: 5 terms of the sequence defined ce relation. That is, find a closed

A: Introduction: The value of n should be organised and precise, as in the Simplest form. In the…

Q: 7) Let S100 be the number of heads that turn up in 100 tosses of a fair coin. Assume that E[X] = 0.5…

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Q: 3. Determine the radius and interval of convergence of 8 k=2 7k (x - 5) k k

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Q: 5.67. If the geometric mean of two observations is (1/n) times their harmonic mean, prove -hạt the…

A: To prove that the ratio of two observations is 1+1−n2:1−1−n2 if the geometric mean of two…

Q: 4. (i – 1)² lim = 1

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Q: Q\ Find the limit points of all subsequences of the sequence ((-1)2" – (-1)³"),neN" nɛN

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Q: t random will have less th t random will have a mea

A: According to the scenario, the automatic hopper car loader is set to put 59 tons of coal. The mean…

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Q: A sequence {an} is called decreasing if An 2 an+1 for all n E N. صواب ihi

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Q: write down detailed e− N-proofs  i) (√n+7)/(n+5) converges.  ii) (n2−3i)/(2n3+2i) converges

A: Follow the steps.

Q: Find the function with the Maclaurin series 1 – 7x + 72x² - 73x³ + 7ªx+ – 7°x³ + ... (Use symbolic…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.