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

Q: How many digits does a number 8^(n). 5^(3n+4)  have, if n belongs to N ?

A: Given data Number: 8n .5 (3n+4) We have to find digits in number.

Q: 2 Look at the following picture. 000 000 1st term 2nd term 3rd term Prove that the number of…

A: Given:

Q: 8. 3n+1 .251-n n#1

A: We have to solve given problem:

Q: What is the z-score if µ = 89, σ = 11.5, and x = 82? -0.61 0.79 -1.21 1.37

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Q: Suppose that x is N(15,4). Find the P(X>11).

A: The random variable X follows normal distribution. The population mean is 15. The population…

Q: N(x) = x² - 2x 5 N(X)=x²-2x-5 N of N

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Q: 2) S(n)-10-2 at n 5

A: Given ,  f(n) = 10 (2)n     ......... (1) We have to find the value at n = 5 Put ,  n = 5 in…

Q: 00 In(n) . Σ n=2

A: According to question given that ∑n=2∞ln(n)n

Q: 16) k(n) = -2|-3n|; Find k(3 + n)

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Q: 00 (2n +1)" n2n n=1

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Q: Find the first 4 terms of n+3 n² +1

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Q: If Z ~ N(0,1) what is P(-0.83 < Z < 1.06):

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Q: Show that n*-n3.5+300n + 234n²log n³ + nVn10 e 0(n*)

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Q: c) n° n° + 2n is a multiple 3 for all n 2 1.

A: To show: n3+2n is a multiple 3 for all n≥1. Statement used: Principal of Mathematical Induction:…

Q: 2"-1 for positive integers n. 2n

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Q: How did they got n(n+1)(2n+1) / 6

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Q: Vn E N, nº – n is divisible by 6.

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Q: a)What is N? lo) What is Sx?

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Q: 1. Find the coefficient of x5y3 in expansion of the expression (x + 3y)8 2. Sixteen people attend a…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: S n +1] (d) In(6n) { n=2

A: According to guidelines we solve one question.thanku

Q: Let n = 9. Find n - 1. n - 1 = a/5

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Q: μ1 = μ2 = 0, n2 = 27 and n1 = 19; thus df is:

A: Given that, μ1 = 0, μ2 = 0, n1 = 19, n2 = 27. df is degrees of freedom for testing the hypothesis,…

Q: 10. Suppose X-N (3.2) Find P (22}, P(X>3)

A: Given that v  X ~ N ( 3, 22 )  i.e. μ = 3 ? = 2 By using standard normal distribution we solve this…

Q: Find the largest value of n such that: Σ E (9k – 5) < 3000 k=1 n =

A: We expand the sum and use the know formulas of "sum of first n integers"

Q: What is the coefficient of p5q5 in the expansion of (p+q)10?

A:

Q: 8. If n+1, 2n-1 and n+5 are in AP. Find the value of n

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

A: Use the given inequality for an and find the quadratic equation for n and solve

Q: It is known ", but it is clear that n=0 +1+4+16 + 64 +... Why does choosing x 2 not work in the…

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Q: Show that n! > 3ª for n > 7.

A: The given inequality is, n!&gt;3n We need to prove that, the inequality is true for n≥7 Firstly,…

Q: 24. There are seven finalists for the Math contest, and medals will be givền tổ thể tốp many ways…

A: Permutation:   It is nothing but the arrangement of items in a definite order where the order is…

Q: For Example 2.2, suppose P[G1) = 1/ 2, P[G2 IG1) = 3/4, and P[G2 IR1] = 1/4. Find P[G2), P[G2 IG1),…

A: P[G1] = 1/2 P[G2/ G1] = 3/4             P[G2/ P1] = 1/4 P[G2] = ? P[G1/ G2] = ? P[G2/ G1] = means G1…

Q: For n≥2, let an= 5n/n2-2. Determine for which n, |an|<1.

A: Use the inequality on and find the inequality for n

Q: Suppose that E-1 ak = -2 and E=1 bk = 5. Find the values of n k=1 and n 2(ak + bk) k=1

A: To find the values

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

A: Note:  Since we can solve at most three subparts in a question, we have solved the first three…

Q: (c) Show that for 2" > 4n for n ≥ 5.

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Q: Q.8 Í xPn+1®n+2dx= Evaluate: n+1*n+2° -1

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Q: What is the value of Z if only 8.08​% of all possible​ Z-values are​ larger?

A: The standard normal variate is calculated when a random variable follows normal distribution in…

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

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Q: Show that 2^n &gt;=1/8 for n&gt;= -3.

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Q: If n is 0 what is 8n

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Q: Find the possible values of n. (n2 )" – 2n" + 1 = 0 (n +0,1)

A: We have  n2n-2nn+1=0 and n≠0,1 We can write n2n as n2n=n2n=nn2 So, nn2-2nn+1=0 Let nn=x x2-2x+1=0

Q: @- 8+ドy-0 K 13 let yo)=1 andyいいと Find K

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Q: 2 n (2k + n)2 k=2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: -6an-1 for n > 2 with the initial condition a = -9. an an

A: Given an = -6an-1

Q: Since n;.n;=1 and n=n23D(2/2)/5 then n3 +3/5 %3D

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

Q: (c) For each integer n, if n is odd, then 8 divides (n4 + 4n² + 11).

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Q: ove that n’ +5n is divisible by 6 for all n E N.

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Q: N-1 1 P3D v(n) x i(n) N n=0

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Q: what are the first six terms of f(n)= (2n)/(n+2) ?

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