Question

Exercise 1. Prove that floor[n/2]ceiling[n/2] = floor[n2/4], for all integers n.

Exercise 1. Prove that floor[n/2]ceiling[n/2] = floor[n2/4], for all integers n.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Statement: "For all integers n, if n2 is odd then n is odd" (1) prove the...
Statement: "For all integers n, if n2 is odd then n is odd" (1) prove the statement using Proof by Contradiction (2) prove the statement using Proof by Contraposition
.Prove that for all integers n > 4, if n is a perfect square, then n−1...
.Prove that for all integers n > 4, if n is a perfect square, then n−1 is not prime.
1. Prove that 21 divides 3n7 + 7n3 + 11n for all integers n. 2. Prove...
1. Prove that 21 divides 3n7 + 7n3 + 11n for all integers n. 2. Prove that n91 ≡ n7 (mod 91) for all integers n. Is n91 ≡ n (mod 91) for all integers n ?
Prove that for all positive integers n, (1^3) + (2^3) + ... + (n^3) = (1+2+...+n)^2
Prove that for all positive integers n, (1^3) + (2^3) + ... + (n^3) = (1+2+...+n)^2
Using PMI prove that the sum of the first n positive odd integers is n2? Is...
Using PMI prove that the sum of the first n positive odd integers is n2? Is there a way to prove it substituting n+1 for n in the LHS and RHS?
Prove that 1−2+ 2^2 −2^3 +···+(−1)^n 2^n =2^n+1(−1)^n+1 for all nonnegative integers n.
Prove that 1−2+ 2^2 −2^3 +···+(−1)^n 2^n =2^n+1(−1)^n+1 for all nonnegative integers n.
For which positive integers n ≥ 1 does 2n > n2 hold? Prove your claim by...
For which positive integers n ≥ 1 does 2n > n2 hold? Prove your claim by induction.
Prove that n − 1 and 2n − 1 are relatively prime, for all integers n...
Prove that n − 1 and 2n − 1 are relatively prime, for all integers n > 1.
Using induction prove that for all positive integers n, n^2−n is even.
Using induction prove that for all positive integers n, n^2−n is even.
Prove Summation of integers from 1 to n is n(n-1)/2
Prove Summation of integers from 1 to n is n(n-1)/2
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT