Question

Hi, I need help on my assignment for my discrete structures class. Thank you, and I will remember to rate your answer!

3. Prove that n! > 2 for n 24 Prove that x, 1 is divisible by x-1 for x # 1. Note: we are doing the induction on n, not x. With the caveat that x is not 1, we want to show that x2 - 1 is divisible by x - 1, x- 1 is divisible by x - 1, and so arex-1, x - 1, and so on. 4.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

o lation ni 7 Sup pose here us have Sup pose values 人upport if ne 7 2 21 2 2 74 7207 64 n(m) ( 2)(n-3) ㄐ Erductive 2 メ

Happy to help you

Please comment for doubts

Add a comment
Know the answer?
Add Answer to:
Hi, I need help on my assignment for my discrete structures class. Thank you, and I...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Hi, I need help on my assignment for my discrete structures class. Thank you, and I...

    Hi, I need help on my assignment for my discrete structures class. Thank you, and I will remember to rate your answer! 5. Consider the set of 3-digit integers between 100 and 999 inclusive. a. How many are divisible by 5? b. How many are divisible by 4? C. How many are not divisible by 5? d. How many are divisible by 4 or 5? e. How many are divisible by 4 and 5? f. How many are divisible by...

  • Hi, I would appreciate any help for this problem I don't really understand for discrete math. Tha...

    Hi, I would appreciate any help for this problem I don't really understand for discrete math. Thanks! (: 15. (P5) Remember, an L-tromino is a shape consisting of three equal squares joined at the edges to form a shape resembling the capital letter L. Consider the following "theorem" "Theorem": For any integer n 1, if one square is removed from a 2·2" × 3·2" checkerboard. the remaining squares can be completely covered by L-shaped trominoes. What follows is a supposed...

  • Discrete Math and Computer Science I need help with #2 the programming part is in C++ Thank you! Main topic and prob...

    Discrete Math and Computer Science I need help with #2 the programming part is in C++ Thank you! Main topic and problems for the final project The main purpose of the project is to introduce you how to use a computer as a research tool in an Introductory Discrete Mathematics. In this project you will be asked to show how the Fibonacci sequence (F,) is related to Pascal's triangle using the following identities by hand for small n and then...

  • need to check my work. Just need B and C Problem 2. Recall that a discrete...

    need to check my work. Just need B and C Problem 2. Recall that a discrete random variable X has Poisson distribution with parameter λ if the probability mass function of X is fx (x) = e-λ- XE(0, 1,2, ) ar! This distribution is often used to model the number of events which will occur in a given time span, given that λ such events occur on average a Prove by direct cornputation that the mean of a Poisson randoln...

  • Please help me solve these discrete math problems. Please show work so that i may follow...

    Please help me solve these discrete math problems. Please show work so that i may follow and understand. Problem 4. Let r, y be nonzero integers and let n be a positive integer. Prove the following by induction Hint: Consider problem (1d) where r = . y

  • Hello, I need help with the following Discrete problem. Please show your work, thank you! 12....

    Hello, I need help with the following Discrete problem. Please show your work, thank you! 12. Select a theta notation from among (1), (n), (n?), (nº), (n), (2"), or (n!) for each of the expressions (a) 4n + 2n? -5 (b) 13 + 2 +...+ n (c) Prove you are correct for both parts a and b above

  • I need help with my discrete math question. thanks in advance Let f(x) = 0 +...

    I need help with my discrete math question. thanks in advance Let f(x) = 0 + 0,-1-1...+ar+ao with 00, 01,..., an being real numbers. Prove that f(0) E O(") by finding a pair of witnesses C and k such that f(x) < Cx" whenever I k.

  • Hi, I am doing some revision on Fourier Transform on my own and I got stuck...

    Hi, I am doing some revision on Fourier Transform on my own and I got stuck on this question for five days now. Wonder if you can help me. Engineering Mathematics 4E, Anthony Croft Ex, 24.8 Q1 I want to understand how to set the lower and upper bound in each "range" by applying the floating "t" value. And how does sliding the triangle or the square block affect the convolution process. Does fourier transform gives us greater flexibility than...

  • This is discrete mathematics. Please solve it step by step. Thank you so much. Solve the...

    This is discrete mathematics. Please solve it step by step. Thank you so much. Solve the following problems, showing any necessary work. 1. Use Mathematical Induction to prove the following. a. 5 points Prove that a 5 × (6n) board can be tiled using 2 x 3 rectangles, for all positive integers n. b. [5 points] Let the Lucas sequence be defined recursively by Lo-2 Ln = Ln-ı + Ln-2, n > 2 TL Prove that 〉·L2i L2n+1 + 1...

  • prove the product of 4 consecutive integers is always divisible by 24 using the principles of math induction

    prove the product of 4 consecutive integers is always divisible by 24 using the principles of math induction. Could anyone help me on this one? Thanks in advance!Sure For induction we want to prove some statement P for all the integers. We need: P(1) to be true (or some base case) If P(k) => P(k+1) If the statement's truth for some integer k implies the truth for the next integer, then P is true for all the integers. Look at...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT