(1 374 6) o (2 3 5 4 6) o (8 7 6 2 4 3 5) can be expressed as product of following disjoint cycles (584 3 1) (2 4) (7 6) O (2 4) (7 6) (1 3 5) O (8 4 5) (36 72 1) O None of them (58 4) (3 1) (2 4) (7 6)

Q: Suppose that {an} is defined recursively by: an = (an-1)² - 1 and that ao = 2. Find a2 and az.

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Q: verify (1-1) and that (1-1)(1)- a. Verify

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Q: Write each of the following permutations as a product of disjoint cycles. (a)  (1235)(413) (b)…

A: (a) α = (1 2 3 4 5) ( 413) Definition : If(a1,a2.........an) and (b1, b2......... bt) are cycles of…

Q: Question 17 What is the expanded form of (3x +4)*? 8 Lx+256 B. 81x + 432x + 864x+768x + 256 .2 C.…

A: Option B is correct.

Q: 97 175 15 956 C. d. ,5 3 22. 3 - 1 Generalize Simplify: 4. 8. 3. 2 21. 5 5 (10) (15) 3 Ne 24. 4 3 4…

A: This is a question related to properties of rational numbers. We will do the sum, multiplication,…

Q: (a) Please fill out the rest of the table. n(n+1)² n² (n + 1)² -n² -3 -2 TOI231 0 4 5 61490 4 1 0 1…

A: (a) The complete table will be as follows: n (n+1)² n² (n+1)² - n² -3 4 9 -5 -2 1 4 -3 -1 0…

Q: 11 If A (n)= 7n-23, what is the value of a,? Your Answer

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Q: 7. Suppose that {an) is defined recursively by an = a-1-1 and that ao = 2. Find a3 and 44.

A: Solution :-

Q: 2 34 5 6 7 8 9 X (b) 9 3 716 5 2 X 4 8 (c) (abc)(cad) (d) (213)(3421)(153)

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Q: What is the result of the following operation: (1,10) n (10) (A) 0 B) (1,10) (1,10) (1,10)

A: We have to find the intersection The intersection of two sets is the set of elements that are common…

Q: 25, 3, 3.75, ... sive:

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Q: 2. What is the general term of 1, 3, 6, 10, 15? O 2n – 1 n^2 – 1 (n^2+1)/n O (n(n+1))/2

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Q: 3n 3. Which of the following is the correct expansion of E-2(-1)" ()? c. (-;+"-#+) 243 243 + 6. 27…

A: The correct expression is option (D).

Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles O None…

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Q: Show that /2, /3, 5 cannot be the terms of a single A.P.

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Q: (c) Find an element h of S10 such that hog (1 8 10 2 7 3 6 4), = and write it in two-line notation.…

A: (c) In one-line notation, g can be written as        g = (1  6  9  3  10  8  7)(4  5)    Then,…

Q: 9. If an+1 = 2an + 2 and ao = 4, then an = O 3(2)n + 1 6(2)n-2 O 2n + 3 O none of these

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Q: Evaluate the Exponents 3 1) (10) 11 ) (5) %3D %3D 2) (-6) 12 ) (-7) %3D %3D 3. 3) (-3) 13 )(-10) %3D…

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Q: 13. Evaluate each of the following. (a) (4 + 12i) + (32 – 3i) (b) (4 + 12i) — (32 -3і) (c) (4 + 121)…

A: since you have posted multiple questions , so I'll solve first three for you , for rest question's…

Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles Select…

A: To express in disjoint cycles start from right and then go through left to right.

Q: 3. cos0 17 II

A: We have to find out θ value and given is cosθ=-817

Q: d e f 14, 19, 24, 29, ... 2, 3, 6, 18, 108, 1944, ... 1, 2, 6, 24, ***

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Q: Suppose that an is defined recursively by an an-1-1 and that a = 2. Find a3. = ao = 2 a₁ = =a² - 1 =…

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Q: 10. If * -2 1 A -3 5 -1 3 Then cof (A) %3D -11 3 -5 -9 6. - 10 -3 1 11 -3 5 9 -6 10 3 -2 -1 None -11…

A: We have the matrix A=-210-3250-13 Now, if we have a matrix A=a11a12a13a21a22a23a31a32a33 then the…

Q: a'b in (a + b)'07

A: a+b10 Now the general term is, Tr+1=Crn·an-r·br⇒Tr+1=Cr10·a10-r·br

Q: 12. Suppose that {an} is defined recursively by a, = a - 1 that ao = 2. Find az and a4.

A: Given relation is an = an-12 - 1 With a0 = 2

Q: 2b -126 +4 factors to (36+2). O True O False

A: Consider the statement 8b2-12b+4  factors to 3b+22

Q: Choose the number that best approximates each of the following 6 8 10 21 (a) + + + 25 33 41 (i) 3…

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Q: . Write (13)(1245)(13) and (24)(13456)(24) in disjoint c form. Give a simple description of how each…

A: Two permutations in product form are given.

Q: Suppose that |a| = 24. What is the generator of (a²l)n (a!o)? a20 a a14

A: Suppose that |a| = 24. We have to find the generator of <a21>∩<a10> .

Q: 2.3(i) Find the conjugates, moduli and arguments (to the nearest degree) of the following

A: 2.3(i)   (a). Given,                         3+5i.     To find the conjugate, modulus and argument…

Q: 1 2 3 G ) as a cycle. Can Y Rewrite the permutation ( 3 2 12. one write the same cycle in many ways?…

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Q: ED Write the elemants of Sy. in array notation (24) 2 write the elements of Bu in cycle notation…

A: