In n n + 1 а) аn b) an = n n 1+ (-1)" c) An 1 d)an n II

Q: 3. Evaluate |(n + 1)! – (n + 2)!|, where n E N.

A: To evaluate n+1!-n+2!, n∈N.

Q: 2. (a) Find integers a, m, n such that m | a and n | a, but mn /a.

A: .

Q: (38)4=3*, find x A) 2 12 с) 32 D ) 4

A: Given, 384=3x

Q: a) In how many ways can 4 persons be grouped into 2 pairs to play a set of doubles tennis? b) The…

A: In the realm of doubles tennis, questions arise about grouping individuals or selecting players for…

Q: 5 x − 2 ≤ 3 x + 4 A N D 3 x − 4 ≥ 2 x + 1

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Q: d) an = 1 2² +1 ( ² + + - ₁ - ¹ ( ² ) ) n² + 1 2 1² + 1 + + 2 3² +1 + 1 4² +1 + ...

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Q: 8) x - 2y = 8 A) B) + -2 # 2 2 y 2 x

A: To determine which of the given graphs belong to x-2y=8

Q: If P(A) = 4/5 and P(B/A) = 2/5, then P(An B) is

A:

Q: mca's a Ik lasb) zd then 巧 is a) Poime c) re latively prime d) of these. none

A: We are given that a,b=d We need to find ad,bd Now, a,b=d means gcda,b=d Now, gcda,b can be written…

Q: 3) 10+ 8 = 32 a) 1.19 d) 4.76 b) 1.43 (c) 2.24

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Q: In(Inb) 16. What is the simplest form of b Inb ? A) Inb B) In(Inb) C) e* D) blnb

A: Given that: bln(lnb)lnb

Q: (22) Prove: Sn: 1 ² + 2 ² + 3² + ... + n² = n(n+₁) (2nti) neN

A:

Q: 3243 - 3240 = (mod13) a) 0 b) 2 c) 8 d) 10

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 10) In = e3x a) 3x - In 8 b) 3x + In 8 c) 3x - In 3 d) -3x - In 8

A:

Q: d14y ise =? (y(14) =?) dæ 14 13 Y =

A: y=x13

Q: 17 less than twice a number A) 17-n B) n - 17 C) 17-2n D) 2n-17

A: We have to write the expression of the statement "17 less than twice a number". For this, we have to…

Q: 4.4.29. For each of the following matrices A, (i) find a basis for each of the four fundamental…

A:

Q: 2. Find all positive integers n such that 4 ( 12 ) has the value d) 6 e) 14 f) 24. b) c) 1 बल

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Q: 20. If P (A) 0.4, P (B) = 0.8 and P (B/A) = 0.6, then P (AUB) is equal to

A:

Q: GL (3,2,), the iilan of the mverse 63 is:

A:

Q: - The sum of two different positive numbers is always A) a multiple of 4 B) even C)

A: We have to find

Q: 4 1 П 2i +1 (i – 1 i-2

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Q: 23 Q8 1- x²ldx | -2 1 a) b) 14 c) 3 28 d) 3 7/3

A: We have to  find the value of definite integral

Q: 2. Find n and a if: Inx² + In2= In ax"+1

A: Given equation is lnx2+ln2=lnaxn+1. We have to find the value of n and a. Used formula: lnmn=nlnm…

Q: Find the value of ()*. 27 A) 6. C) B) 3 D)

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Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

A:

Q: 1. For all positive integer n, which of the following expression is divisible by 6? A) 7" – 1 C) 5"…

A:

Q: 13)-5+3tan 0 = -5 A) nn + 3. B) No solution. C) 3. D) Inn)

A: Given: -5+3tanθ=-5

Q: 46 2 Evaluate ) ] ] xyz dzdydz 0-10 O A. 2240 2240 O B.8 O C. None of these 2240 O D.4 2240 O E.

A: Here we have to find the given integral value .

Q: 54. Using Polar Coordinates in Geometry A regular pen tagon whose center is at the origin has one…

A: Please fino the answer in the next step.

Q: a) In1/e b) eIn5 c) In1/3 d) 2Ine e) 5In1 and F) Ine1/3

A:

Q: k3 + k 225

A: Substitute the value 5 in the respective formula for sum of cubes and sum of natural numbers.

Q: 5) (3-6)/6+76)

A:

Q: Evaluate (3i)3 b) -27i a) 27 с) -27 d) 27i Select one: O (b) O () O (d) (a)

A: Complex number

Q: 4- 「メ-5

A: The detailed solution is as follows below:

Q: (m")(2*)(m)(m³) (m')(2) Simplify and then evaluate for m = 3 and n= 7. %3D O a) (m*)(2?) = 3969 %3D…

A:

Q: Find the sum of 12 Σ n=1 (2n+1) a) 144 b) 156 C) 168 D) 180

A: Given

Q: If n ( A ) = 25 , n ( B ) = 40 , a n d n ( A ∪ B ) = 55 ,what is n ( A ∩ B ) ?

A: Consider the given information nA=25,nB=40and nA∪B=55

Q: If n(A) = 62, n(B) = 19, and n(A ∩ B) = 4, find n(A ∪ B).

A:

Q: + 1 Evaluate im (x-1)(x- 2)- Oa) O b) 2 Oc) +00 Od) 1

A: SOLUTION-

Q: 10.) Evaluate a.) 10C3 b.) 10P3 c.) 5C3/sP3

A: Given Combinations nCr Permutation nPr