Show that 1/n - 1/(n+2)= 2/(n(n+2))

Q: Express f(=) = in a series of positive and (: – 1)(:– 3) negative powers of (: – 1) -

A: Given problem is :

Q: Show how series is divergent

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Q: 2 5x - 12 x=1

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Q: 103. Show that In (1 + e²*) = 2x + In(1 + e-*).

A: ln1+e2x=2x + ln1+e2xFormula:lna-lnb=lnab

Q: S = CMN2 for N2

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Q: Suppose that the number of corona virus in a governate increase 3 times in every hour. a. Set up a…

A: Let an be the number of virus in the governate after n hours. Hence, the number of virus in the…

Q: How would I show that these summations are true

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Q: Q4. Suppose that the number of corona patient in a city triples every hour. a) Set up a recurrence…

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Q: Show that the sum of the cubes of the first n positive integers is (n(n + 1)/2)^2

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Q: 3. Show that the weighted arithmetic mean of first n natural numbers whose weights are equal to the…

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Q: Find the sum of the first 21 positive integers. The sum of the first 21 positive integers is

A: We will use the concepts of A.P.

Q: Compute etA for 3 3 4 A = 1 2 1 -1 -3 -2

A: Use the Taylor series of ex to solve the expression. Convert the equation into matrix equation and…

Q: You brush your teeth very, very carefully in the morning at 6am leaving only 1000 bacteria on your…

A: We will find a sequence for number of bacteria .

Q: Show that (n + 1)!)" < 2! · 4! - (2n)!.

A: The objective is to prove the given statement using induction

Q: 3 < 2. Solve for x in 2 – x

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Q: 2. Suppose that the number of bacteria in a colony triple every hour. a) Set up a recurrence…

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Q: Find: The sum of all positive integers less than 400 which are not divisible by 5.

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Q: The 11th termof an A.P. exceeds than 10h term by 7 find the commondifference.

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Q: Find Exponential Family 4-{N(0,1),0 € (-∞,+∞) }

A: Dear student, If you find this solution helpful please upvote ? it.   Here in this question it has…

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

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Q: What is the coefficient of x^4 in the expansion of (-1+ x)^11

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Q: 1. Find the sum of the first 50 even positive integers.

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Q: z = -2 verify that |7 - 2| < |||| - |||

A: Given that y¯=−310 and z¯=1−21. We have to verify y¯⋅z¯≤y¯⋅z¯. Now y¯⋅z¯=−310⋅1−21=−5 Hence, y¯⋅z¯=5…

Q: :The nth term formula for { 1,0,1,0,... } is

A: given sequence 1, 0, 1, 0, .........

Q: Find the least positive integer n for which 2" + 5" - n is a multiple of 1000.

A: To find the value of n substitute n=1,2,3... multiple of 1000 is a certain number divided by 1000…

Q: ii) The scientists could not determine that the tick currently being studied carried Babesia microti…

A: We know that Null Hypothesis :  Which shows connection between two or more variablesAlternate…

Q: Solve these recurrence relation together with the initial conditions given an=-6an-1-9an-2, for…

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Q: Show that — ф+1 n=0 ||

A: Given φ is the golden ration satisfying 1φ=φ-1. To prove ∑n=0∞1φn=φ+1 It is known that φ=1+52.

Q: Suppose a newly born pair of rabbits, one male and one female, are put in a field. Rabbits are able…

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Q: Show that 2^n &gt;n^2 if n is large enough.

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Q: Use a combinatorial argument to show that n 1(n 3 |

A: The LHS of the expression is nn-2. This is the number of ways selecting n-2 objects from n objects.…

Q: Show that n! > 3 for n ≥ 7

A: We have to prove this assertion that, n! &gt; 3  for n≥7 We will prove this statement by the method…

Q: 16. Find the positive integer that maximizes the sum of the numbers and its reciprocals?

A: Take integer and add them with his reciprocal Diifferenciate and get

Q: Prove Γ (n) = (n-1)! where n ∈ ℕ

A: Concept: The proof for this gamma integral will be done using mathematical induction

Q: 4. Use a combinatorial argument to show that () n 1 -2) n + 22 n 2 3 -

A: Given: nn-2=n3+12n2n-2n

Q: b) Suppose that the number of bacteria in a colony doubles every hour. i) Set up a recurrence…

A: (i) Given that number of bacteria  doubles every hour, the recurrence relation for the number of…

Q: Solve for n: 6(п — 4) 3 а(n + 3) - Preview = U

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Q: Which term of the expansion of (x + 7)° contains x° Term number contains x°.

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Q: Find the average of the first 50 natural numbers is……………….

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Q: ition to prove the n positive number. of Your Your answe that 1/x 00 as

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Q: prove

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Q: Find the ordinary generating function for the sequence 0,0,0,0,1,1,1...(Hint: it is not a…

A: We need to find an ordinary generating function. The sequence is 0,0,0,0,1,1,1,.... Consider:…

Q: Fermat's theorem is true for only prime number. إختر واحداً.

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Q: How do I find f prime of 13x/4+x2

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Q: 5 divides n -n whenever

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Q: Serial numbers for a product are made using 3 letters followed by 2 numbers. If the letters are…

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Q: portion

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Q: Suppose that the number of corona virus in a governate increase 2 times in every hour. a. Set up a…

A: ANSWER :