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

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

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Q: Construct NFA for 0*1*0*0 with three states.

A: Answer:

Q: Suppose a, = —4а,-1 — За,-2 — 2а,-3 аnd aд — 21, аз — -77, and as — 259. Find aj, az, and ag- az =

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Q: Let W be weight in kg, taken from 1000 student and W ~ N (50,25) 1. How many students have weights…

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Q: Show that for n, m e Z+, gcd(2" – 1,2 – 1) = 28cd(n,m) – 1.

A: To prove : gcd(2n-1, 2m-1)=2gcd(n,m)-1where n,m ∈ℤ+

Q: 3. If AABC-AZXY, mZA- 50, and mzC-30, what is mX?

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Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: Suppose two members of the group of twelve insist on working as a pair---any team must contain…

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Q: If "C, = K "C,, then K is n-1 %3D

A: Combination problem....

Q: 2. How may rearrangements of the word BOOKKEEPER are possible assuming that (a) two E's appear…

A: Given word "BOOKKEEPER" The number of times O in word =2The number of times K in word =2The number…

Q: 15. If an+2 = 3an+1 - 2an and ao = 3, a1 = 4, then an = O 3(2") - 3" + 1 O 5(2") - 2(3") O 7(2") -…

A: See the attachment

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: Disprove by Contradiction If a,b,c ∈ ℕ, then at least one of a-b, a+c and b-c is even.

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

A: Topic:- series sum

Q: If n E N and n < 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Here n  N and n&lt; 2000. So, n= 1,2,3,........,1999.

Q: Suppose there were 500 nurses graduating this year. Assume that 400 were registered nurses (RN), and…

A: Let RN be the registered nurses, and H be the nurses who plan to work in hospital. From the…

Q: 22. If 6log2x =18 , then x is

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Q: Converges or diverges

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Q: - Find N, where M=(5, 9, -3) and MN = -3[2,3,4]

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Q: Deduce from Q2 that if an integer N can be written as N = x² + ny² , and if a prime number q | N can…

A: We will use standard division algorithms to deduce the given statement.

Q: If in a AP the sum of m tern=ms is equal to n and the sum of n terms is equal to n ,then prove that…

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Q: Q)1 a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: Q1) a) There are 10 digits 0,1,2,3,4,5,6,7,8,9. The 3 digit passcodes must be formed such that first…

Q: 2 then show that |2A-4|A If A- 4 2

A: We have to verify that 2A=4A where A=1242 and A is used to denote the  determinant of the matrix A.…

Q: Show that AB = O, even though A ≠ O and B ≠ O.

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Q: If 125% of x is 80 and x is n% of 400, what is the value of n? dd inages tere

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Q: (-1)" In(nº) Σ 20. 4n n=2

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Q: 19. Show that (for n = 0, 1, 2,..) (a) F(-n, b; c; 1) = (c-b)n (c)₁

A: We have to show F-n,b;c;1=c-bncn Solution: By Pochhammer definition cn=Γc+nΓ(c)           (1) and…

Q: 31}. Then the are

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Q: 9. Consider a number with 8 digits but using only digits 1, 2, 3 and 4. a) How many numbers can we…

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Q: 11:54: If n EN andn<2000, how many numbers n have the property that the sum of the digits of n and…

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Q: 7. Given that a = -3, a2 = = 4, and a, = 3a-1 - 5a-2 for n 2 3. What is a;?

A: a5 = 48

Q: A California study concluded that by following 7 simple health rules a man's life can be extended by…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: Q2. If JANB| = 0, JAnc| = 0, Bnc = 1, how many ways can we choose three distinct elements. one from…

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Q: ttees of 4 men can be formed from a group of 10 Hiet 5. How many 13 boys and 11 girls? 5. How of 5…

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Q: The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts; 77 like…

A: Given:  The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts;…

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

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 7. Establish for A is m × n and B, C are n x p, that A(B+C) = AB + AC

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Q: If "C,, = "C, then n is equal to 4.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Let, a1 = 1, az = 2, b1 = 0, b2 = 1, for n 2 3, 2ап-1 + bn-1 for n 22 b, = bn–1+ an-1 an express an…

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Q: In (R, t,), if A = { :n E N}, then 3+n I(А) —

A: option (C).

Q: 32, as 185, and a6 = 1121. Find a1, a2, 5an-1+ 6an-2+ lan-3 and a4 Suppose an and a3-

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Q: How many landline telephone numbers are there with 7 digits such that: (c) the two initial digits…

A: Given: Number of digits in a telephone number = 7 Total number of digits = 10 (0 to 9) Number of odd…

Q: If n E N and n< 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Given that, If n∈ℕ and n&lt;2000 then calculate how many numbers n have the property that the sum of…

Q: 3. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1+ an-2 + n² + 1, express a, in terms of n. %3D

A: Recurrence relation - it  is an equation that denotes  the nth term of a sequence as a function of…

Q: and y 37 If a = - , then a = 4

A: Solution

Q: Assume there are 3500 undergraduate students studying at AUA, 1800 students have taken Business Math…

A: It is an important part of statistics. It is widely used.

Q: show that given two numbers m and n, if m is even and n is even, then the product is even

A: Solve by using product rule

Q: Compute (x – 2) for the following set of n = 7 values. X1 = 8, x, = 15, x3 = 14, x4 = 10, x5 12, x6…

A: Given,   =?

Q: Show that 1 (N, <) is well-ordered. 1 2 (Z, <) is not well-ordered. 3 (R, <) is not well-ordered.

A: Please send questions as different questions. We cannot do more than 3 at a time.   A relation ≤ on…

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

A: Solution