9 F C a1 22 ak Pk ..... . n = P₁ P₂ < P2 < .…..... < Pk are primes and a; >1 for i = 1, 2,... k.

Q: n 21. if an+1 = an an 2n + 3 n=1

A: We have, an+1=n2n+3an Substitute value of n=0,1,2,3,4,..... At n=0, a1=020+3a0a1=0 At n=1,…

Q: Solve. 44 39) Σ (-6n +7) n = 1

A:

Q: 1. Given that m= -3, n = 2, p = -1 Find: m (p – n)2 _____3p + m Select one: a. 4½ b. 27/8 c.…

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Q: calculate 1+3+5+...+(2n-1) for n = 1,2...,6.

A:

Q: Q.7) In a party 25 people shake hands to each other (only once). How many n(n-1) handshakes will…

A: Given that  Number of people shake hands each other=25 To find  Number of shake hands will occur.

Q: Q1 (b): If Xi= 1,3,5,7,9,11 and Yi= 0,2,4,6,8,10. The values of the :following term is i=n 2n – 3…

A: Given,∑i=1i=n2n-3πyi-11+xii-1here n=6

Q: if N {A} = 25 and N {B} = 31 and N { A n B } = 20 find n { A U B }

A: Given that n{A}=25 and n{B}=31 and n{A ∩B }=20   We have to find n{A∪B}  . We use the union property…

Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn&gt;Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: (i) Z is a group by the set of whole numbers x * y = x + y - a operation. Show it.

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Q: Vn E N için, 1.5 + 2.5² + 3.53 + ...+ n. 5": 5+(4n-1)5n+1 %3D 16 dır.

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Q: prone 2 + 4 + 6 + + 2n = n(n+1). for every nz 2.

A:

Q: 4. Suppose that P(A)=0.7 and P(B)= 0.5, and P([AUBY) =0.1. Find a) P(AOB) b) P(A| B) c) P(B|A)

A: Given data,P(A)=0.7P(B)=0.5P(A∪B)' =0.1P(A∪B)=1-P(A∪B)'=1-0.1=0.9

Q: (4 – 2æ)".

A:

Q: Compute x3 in two ways: by computing x, and x2, and by computing P³ [1] P= x₁ = 0.1 0.2 0.9 0.8 0.19…

A: Solution: The given matrix is, P=0.10.20.90.8,x0=10. Now compute x3 in two ways:

Q: d) Let N = {1, 2, 3, ...} and for each n E N, let An = {n, 2n, 3n, ...}. Find A3 n A5

A: Introduction: The symbol "∩" can be used to represent the intersection of sets. According to the…

Q: ind p hat if x is 7 and n is 10

A: The provided information are: Number of success (x) = 7 Number of trials (n) = 10

Q: Find the first three terms of the expansion (4 – 2x). 4°(1- 폴 + 쫄 +…) O b. 2°(1 + 꼭 + 플 + …) Oc…

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Q: Ex 3.6.2 Suppose p is a prime, (a, p) = p° and (b, p) = p. Find (a + b, p*).

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Q: i=n (5 + у;) (х; — 2) Зп + 2 i=1

A:

Q: M N Exs. 10, 11

A: Given: To Find: 10. If MR=12, then MP=?  11. QR:RO=?

Q: Determine the value of n if it is known that (n + 1) P 3 = 24 {n C (n - 4 )} а.

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Q: S, =E = 12 + 2² + 3² + . . + n² %3D

A:

Q: The number ol hts to a website folows a Passon process Hts occur at the rate of 32 per minte between…

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Q: T F 8. F 9. T T F 10. For all integers n, 3|n³ – n The last digit of 3303 is a seven. The last two…

A: Using basics of modular arithmetic we solve this problem.

Q: 249 2 Let A- 012 B- 0 -2 C - Find (A- BCT". 659 3

A: Solve the following problem as shown below step by step procedure, please refer below.

Q: Q7) Let P(A) = 0.3 and P(B) = 0.6. a. Find P(A or B) when A and B are independent. %3D b. Find P(A…

A: When A and B are independent, then P(A∩B)=P(A)xP(B) When A and B are mutually exclusive then…

Q: P.3 Evaluate d dx**+2x]

A: Given that, ddxx2+2x we have to differentiate given function with respect to x

Q: For each integer n>1, let A(n) denote the sum of the integers from 1 to n. For example,…

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Q: (-1)".n -1)".n 5n+2

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Q: b If K = 4.1 x 10-6 then pK, Submit

A: This is a basic log problem