Hello, how do I simplify factorials? For example: n!/(n+100)!

Q: May you give me like 5 or 6 different ways to rewrite the expression n(n+1)/2

A: Given expression is n(n+1)/2

Q: Why k(k+1) is an even number?

A: We have to tell just  that why k(k+1) is an even number.Here we considering that you understood  the…

Q: How did you (1) get the x-table number (please show step by step without taking short-cuts. (2) how…

A: From the given information, it can be written as P33<X<43=0.40. Note that Z=X-μσ. Let us…

Q: What are other similar expression patterns based on n(n+1)/2

A: Solution:-

Q: For each n E N, consider xn n == X with x ER+. Define the sequence {gn} by 1 +2' 8n(x) = f(xn) (a)…

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Q: If X and Y are separable spaces, then X × Y is separable.

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Q: Can you please explain why you multiplied by 2! in the denominator in step 2? How does that 2! get…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…

Q: Make a table giving the value of n! for n=1 to n=15. Do you think the last digit of every factorial…

A: Let's find.

Q: Factorial Is n! same as n+1? If I have n+1 in an equation, can I put n! instead?

A: Since n! = n (n-1)! e.g:- Let n=3  Then n+1 = 4 but n! = n(n-1)! Then 3! = 3×2×1 =6

Q: simplify-(n+5!) (n+3)(n+a)!

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Q: Which of the following would be divisible by 7? (A) x+ 7 (B) 7x + 1 (C) 14x + 21 (D) 77x +11 O A О в…

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Q: 4. Evaluate 1 L-1 (4s² – 8s)

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Q: Consider the initial value problem (a) Find the eigenvalues and eigenvectors for the coefficient…

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Q: Explain why an odd counting number can always be written in the form 2N+1 for some whole number N.

A: The objective of this question is to understand why any odd counting number can be expressed in the…

Q: b Explain how every recurring decimal with an infinite string of 9s can be written as a terminating…

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Q: Write the following expression without using the factorial symbol (n-4)!/(n-1).    A.…

A: Known fact: n!=1×2×3×…×n-1×n

Q: How do I create a binomial situation using n = 5.

A: Given:- binomial distribution n=5   now, let X~Binn,p here n=5 in binomial distribution we calculate…

Q: Explain why it is convenient to write the expression for the number of possible permutations in…

A: It is efficient and time saving, imagine if you want to write 4! in its entire multiplication form…

Q: 2 For each of the recursive sequences below, find a recursive formula for the general term. a -2,-4,…

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Q: What is the 100th term of {a} {an}=-5, 5, -5, 5, -5, 5, ... where n ≥ 1

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Q: What is n? Input Output -1 6 7 1 8 2 3 4 11 00

A: From the table, we can clearly say that the given data is in the form of linear equation. Therefore,…

Q: Evaluate        5  -2 [ ∑ (n-2)2 ]      n=1

A: We know  ∑i=1n xi = x1+x2+ ⋯ + xn

Q: To evaluate the following integral, which method do you use? - dydz O can't evaluate this integral O…

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