Mathematics Homework Solutions
#24063
Integers
suppose that integers 1,2,3,4,5,6,7,8,9,10 are arranged randomly along a circle.
1) show that For each circular arrangement, there exists at least three adjacent numbers whose sum is greater than 17
2) take n + 1 integers from {1,2,3,....., 2n}. Show there exist two integers, one divides the other completely.
There are two proofs, one regarding circular arrangement of integers and one regarding divisibility
What is this?
By OTA - Overall OTA Rating
Yupei Xiong, PhD - 4.8/5
Purchase Cost Now
$2.19 CAD (was ~$15.96)
Included in Download
- Plain text response
Why you can trust BrainMass.com
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- Real Analysis : Integer Proofs - College level proof before real analysis. Please give formal proof. Please explain each step of your solution. I Thank you.
- Math Prob - Suppose x is a real number such that x + (1/x) is an integer. Show that x^n + (1/x^n) is an integer for all positive integers n.
- Counting the number of integers - Counting ones. If you write down the integers between 1 year do you get a whole number when you divide the day number by the month number? For example, for December 24, the result of 24 divided by 12 ...
- mod - Prove that: if bd= bc (mod p) where p is a prime (and p does not divide b) , then d= c (mod p)
- Show that (2 + √2)^n + (2 - √2)^n is an integer for all positive integers n by using the biomial theorem. - Show that (2 + √2)^n + (2 - √2)^n is an integer for all positive integers n by using the binomial theorem.
