Show that (n + 1)! > 2"+3, for n > 5.

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

A: Given problem is :

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Consider the given expression. y3-12c29 The binomial formula is defined as,  a+bn=∑k=0nnkan-kbk As,…

Q: Whenever n is a pOsitiv integer (n > 1). (15 points) %3D

A: Follow the procedure given below.

Q: Show that for positive integer n: (2n)! VT. 22n . n! Г 2

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Q: Without using any theorems from the book, prove the following statement: The sum of any two odd…

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Q: 4" Σ (3n)" 6. n=1

A: From the root test, we know that  If limsup| an |1/n  < 1 , then it implies that the series…

Q: S = CMN2 for N2

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Q: Find by direct calculation. Find by conditioning on the sum of these two numbers.

A: Travellers living in Shenzhen depart 'm' persons daily to Hong Kong West kowloon Station On a…

Q: The sum of any two integers of the from 4k+ is always: a) prime b) zero c) Even

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Q: Compute the exact value of -1)"(n + 2) 2"+1(n+ 1) * n=0

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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: Suppose we have a sequence of non-negative real numbers such that each element is strictly less than…

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Q: . Show that n! > 3ª for n> 7.

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Q: Show that 3n^ 2+8nlogn is big-Oh (n ^2 )

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Q: Find the interval of convergence. (x + 5)" Σ (n In(n))² n=2

A: To Find: Interval of convergence of given series…

Q: 16. How many terms are needed to approximate 2(-1)"+1 (÷) with an error of less than 0.001?

A: The given alternating series is: ∑n=1∞(-1)n1n4 Let, an=1n4

Q: How many integers n where 1≤n≤1600 satisfy the condition ⌊n⌋\n.

A: Here, need n such that n/⌊n⌋ where 1≤n≤1600 and n is integer. Now, ⌊n⌋ is said to be floor function…

Q: How do I find f prime of 3 if f(x)=13x/4+x2

A: Given,           fx=13x4+x2

Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: Find the sum of the positive even integers up to and including 50.

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Q: Find all the odd positive integers n which satisfy 6(n) = 20.

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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: Sx" Inxdx

A: The given integral is  I=∫xn ln x dx after solving this we have to use the result to find the below…

Q: Show that 2 + V5 is imational number

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Q: Prove N.又

A: Note as per our guideline we are allowed to do 1 question at a time. Please post other questions…

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

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Q: Use limit comparison test for sum of n=1 to ♾ of (3n^3+2)^(1/2)/(8n^2+9n+1)

A: take bn = 1/n  we know that if limn→∞anbn= finite  then by limit comparison test both series behave…

Q: The sequence 7² – 1 - V n² +n converges to – 2 Select one: 23 True O False

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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: Show that 2^n >n^2 if n is large enough.

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Q: of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than…

A: Fraction:  A small part of something.  In other words, numerical value that is not a whole number A…

Q: Prove (n + 6)² – (n + 2)² is always a multiple of 8. (Use direct proof.)

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Q: Show that n! > 3ª for n > 7.

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

Q: Show that n! > 3 for n ≥ 7

A: We have to prove this assertion that, n! > 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: is an integer greater than 1 Quantity a= the tens digit of N Quantity b= 0 which is greater or…

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Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

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

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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: Find the sum of the first 80 positive even intergers.

A: Sum of the arithmetic progression with for n terms where a1 is the first term and an is the last…

Q: Show that n* 3-" converges for all exponents k. n=1

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Q: An object thrown upward from the ground falls to the ground after k seconds. Which of the following…

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Q: 5 divides n -n whenever

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Q: portion

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Q: Suppose that n students take a quiz and their scores sum to 150. What is the smallest number n to…

A: Pigeonhole Principle: The pigeonhole principle states that if n items are put into m containers with…

Q: The daily low temperatures in some​ place, for seven consecutive days are given in the table below.…

A: Given

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.