For n>2, let an=5n/n2-2 ,Determine for which n, |an| < 1

Q: Which of the following is false? O ("2) = 2(") k ㅇ ") %3 (4") + (F) k n(n+1) (":"): 2 2 O ()² = (?)…

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Q: Let X x b(n,-) and E(3x) = E(3-5.x) find n.

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Q: Show that if x > 9, then x³ – 8x? + 2x > 3. Show that for all n e N, if n > 10, then nª – 2n² > 3n³.

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Q: For any n e N, let An = {x € R | –n <x < n}. Prove that NneN An = A1. (Recall that we define 0 ¢ N.)

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Q: Let m and n be two real numbers such that m > n. Which of the following is equivalent to a Golden…

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Q: 1. Let, a, = 3, a2 = 4 and for n 2 3, a, = 2an-1+ an-2, express a, in terms of n.

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Q: For each n e N, let A, = (}, } + ) %3D Find Unen An. Find Nnen An.

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Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

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Q: 2. Let, a1 = 3 and for n 2 2, an = 2am-+1, express an in terms of n. 3. Let, a1 =3, a2 = 4 and for n…

A: Note:-Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

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Q: :""n e Z*, if n³ = 3k for some k E Z, then n = 3q for some q E Z." %| %3D

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Q: 3. There are one hundred tickets in a box, numbered from 1 to 100. Draw once from the box. a. Is…

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Q: for all integers n >1 E, i = n(n+1} %3D 2

A: To prove the sum of n natural numbers n≥1 is  ∑i=1ni=n(n+1)2

Q: Using only a simple calculator, find the values of k such that det(M)=0, where M=⎣−1 k 0 1 1 k 1 1…

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Q: Show that for any n E N, 7(15".

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Q: In the diagram, eleven circles of four different sizes are drawn. Each circle labelled W has radius…

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Q: For n>2, let an=5n/n2-2 determine for which n, |an|< 1

A: For n&gt;2, let an=5n/n2-2 determine for which n, |an|&lt; 1

Q: 1. Let, a, = 3, a2 = 4 and for n 2 3, a,= 2an-1+ an-2, express a, in terms of n.

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Q: 3. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 – 5, express an in terms of n.

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Q: The values of x satisfying the following are: (18) = (") 30 10, 30 O 20 and 30 O 10 and 20 10 and 40…

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Q: 1. Let, a1 = 7 and for n > 2, an = "1 express an in terms of n.

A: According to our guidelines, we can solve only the first question. Please repost other questions as…

Q: Remind yourself what () means. For this class, we will use the convention that () = 0 if n < k or if…

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Q: Which expression is equal to E (2" + n²) k-1 n=2 O (2" + n?) +D ¬k-2 (2" + n2) n3D2 nk-2 O (2*-1 +…

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Q: 1. Let, a1 = 7 and for n > 2, an = " express a, in terms of n.

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Q: 2. Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n. for n ≥ 3, an = 2an-1+ bn-1…

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Q: 3. Let, a1 = 3, a2 = 4 and for n 2 3, an = 2an-1 + an-2 -5, express a, in terms of n. %3D

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Q: 1.- Let x* be defined as one more than the number of digits in the integer x. For example, 150* = 3…

A: topic - linear equation in one variable

Q: Using only a simple calculator, find the values of k such that det(M) = 0, where 4 k M 1 k As your…

A: M=-4K011K11-8detM=-4-8-K-K-8-K          =32+4K+8K+K2          =K2+4K+8K+32          =K+4K+8

Q: Which of the following is the smallest, positive value of n for which -i" is equal to -i? (1) n=1…

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Q: 4. Let, a = 3, a2 = 4 and for n 2 3, a, = 2an-1+ an-2 +n, express a, in terms of n.

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Q: ()if pis in fact larger than 0.301, t would seem there are too many numbers in the file with leading…

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Q: Find the values of z for (k=1 and k=4), if z=(-1)9 1-i/3 and -1 2. 1+i/3 and -1 1+i/3 and -i 2…

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Q: Let 2= R, and suppose S₁ consists of intervals including Ø, the empty Ω set: S₁ = {(a,b]: -∞ <a ≤ b…

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Q: 3. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1 + an-2 - 5, express an in terms of n.

A: We will solve the problem using recurrence relation

Q: Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n.

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Q: If a < b, is a? < b?? (Check both positive and negative val- ues for a and b.) If a < b, is a’ < b*?…

A: Inequality: If a&lt;b let us assume a=2, b=3a2=4 , b2=9Here , 2&lt;3 and 4&lt;9But if we take a=-3 ,…

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Q: Using only a simple calculator, find the values of k such that det(M)=0, where M=⎣4 k 0 1 1 k 1 11⎤.…

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Q: 2. Let, a, = 3, a2 = 4 and for n 2 3, an= 2an-1+ an-2 + 5, express a, in terms of n.

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Q: The number N of deer in a certain population t years after observation began is given by  N =…

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Q: Compute f'(x), f" (x), f"(x), and then state a formula for f(n) (x), when f(x) f' (x) f"(x) f" (x) =…

A: we have to find the derivative for the following function

Q: 4. For each n E N, let An = {-n – 1,0, n + 1}. (a) Let I = {1,2, 3}. Find Uner An. (b) Find Nnen An.

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Q: For a populationN = 22,000 and p = 0.14 . Find the for hat p =0.32 for n = 50

A: The value of p hat is 0.32, the sample size n is 50 and the value of p is 0.14.

Q: If n = a? for some a E Z then 1155 n" + 7777n + 1 %3D

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Q: Given p: n is an odd integer q: n is an even integer. Which of the following statement cannot be…

A: Given statements p: n is an odd integer q: n is an odd integer  The answer can be found by verifying…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.