n-1 8. Inn diverges. 12. Use the direct comparison test to show that n-1 Inn for n2 3, - is the divergent harmonic series, so Inn diverges. n-1 n-1 in

Q: In (5 – x) – In (5 + x) = -In 9

A:

Q: (n+1)! (n-1)! = 10n

A:

Q: 37 ∉ {x | xhas exactly two positive factors}. Explain

A:

Q: Is 18* 1/3= greater then 1/3 ?

A: Given : We have to check whether 18*1/3 is greater than 1/3

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A: Recall the following. Permutations Number of permutations of n things taken r at a time: pn,r=n!n-r!…

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A:

Q: (6.1) Prove if r is a positive, even integer then 10* – 1 is divisible by 11. (6.2) Prove if r is a…

A:

Q: 21 divides 4(n+1) + 5(2n-1) whenever n is a positive integer.

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 1/3+6/10 explain why the answer is 14/15?

A:

Q: Out of curiosity, how did you get (1/4)*A instead of 1/(4A)?

A:

Q: R² = gen gen

A: see below the reason

Q: A= 12- 273 2 L1 -1 1 -1 3-4.

A: Power and combination of matrices

Q: Which is greater where n > 8?

A:

Q: How many 6-digit numbers have three even and three odd digits? (The first digit cannot be zero.)

A: It is given that a 6-digit number is to be formed which will have three even and three odd digits.…

Q: where does come (5/6)6  from??

A: Basic concepts of probability are used.

Q: Could you please explain what happened in b and where the 1/2 came from

A: The formula is given by:       xn+1=xn2                         ..........1 Using equation (1), we…

Q: Prove the property of the Fibonacci numbers, F(n) = 5(n 4) + 3F(n-5), for n ≥6

A: We have to prove the property of the given Fibonacci numbers F(n) = 5F(n-4) + 3F(n-5) ,  for n≥6

Q: I also found that the expression was divisible by 13 at n=6 and n=10. Is there anyway you could…

A: Any number n can be written in the form          n = 3m, or 3m+1, or 3m + 2 for some integer m.…

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: Show that (n + 1)! > 2"+3, for n > 5.

A:

Q: Which of the following is true? Select one: a. (n+1)= n(n) for any real number b. г(n) = n(n+1) for…

A: The objective of the question is to determine which of the given mathematical statements is true.

Q: (d) Compute the least common multiple of 336 = 24.3.7 and 180 = 2².3².5. Include an explanation of…

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A: The given inequality is, n!>3n We need to prove that, the inequality is true for n≥7 Firstly,…

Q: Given (xi , xi2022 i ) ∀i = 0, ..., n, where x0 = −1, x1 = 0, x2 = 1, x3 = 2, ..., xn = n − 1. Write…

A: Given xi,xi2022∀i=0,1,2,...,n  Where x0=-1, x1=0, x2=1, x3=2,..., xn=n-1

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A: Given that X is a random variable which has binomial distribution Bn,θ with p.d.f is given by:…

Q: How much larger than 1/9 of 3 is 2/5 of 1 2/3

A: First, we need to find 19 of 3,then find 25 of 123, then find the difference between the two!

Q: how many positive integers n satisfy 22-5n>-3?

A: 22-5n>-3

Q: What is P(3sX<10)? *

A: From the given probability mass function we find the probability.

Q: For each positive integer n, define an = ((2+√3)" + (2-√3)") 2 It is known that an is a positive…

A: