Question

Show that 1^3 + 2^3 + 3^3 + ... + n^3 is O(n^4). The proof is

Show that 1^3 + 2^3 + 3^3 + ... + n^3 is O(n^4). The proof is

Homework Answers

Know the answer?
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
Similar Questions
proof by induction: show that n(n+1)(n+2) is a multiple of 3
proof by induction: show that n(n+1)(n+2) is a multiple of 3
show the following is a O(n^2) by supplying answers to the three steps below. f(n)=9n^2+4 1...
show the following is a O(n^2) by supplying answers to the three steps below. f(n)=9n^2+4 1 setup the problem 2 isolate constant c 3 determine values for k and c that make this inequality bold
Using either proof by contraposition or proof by contradiction, show that: if n2 + n is...
Using either proof by contraposition or proof by contradiction, show that: if n2 + n is irrational, then n is irrational. Using the definitions of odd and even show that the following 4 statements are equivalent: n2 is odd 1 − n is even n3 is odd n + 1 is even
Used induction to proof that 1 + 2 + 3 + ... + 2n = n(2n+1)...
Used induction to proof that 1 + 2 + 3 + ... + 2n = n(2n+1) when n is a positive integer.
If sn = 1+ 1/2 + 1/3 + 1/4 +···+ 1/n show that S 2^n ≥...
If sn = 1+ 1/2 + 1/3 + 1/4 +···+ 1/n show that S 2^n ≥ 1+n/2 for all n. Elementary Real Analysis
****Please show me 2 cases for the proof, one is using n=1, another one is n=2,...
****Please show me 2 cases for the proof, one is using n=1, another one is n=2, otherwise, you answer will be thumbs down****Hint: triangle inequality. Don't copy the online answer because the question is a little bit different use induction prove that for any n real numbers, |x1+...+xn| <= |x1|+...+|xn|. Case1: show me to use n=1 to prove it, because all the online solutions are using n=2 Case2: show me to use n=2 to prove it as well.
Given T(n)= T(n-1) + 2*n, using the substitution method prove that its big O for T(n)...
Given T(n)= T(n-1) + 2*n, using the substitution method prove that its big O for T(n) is O(n^2). 1. You must provide full proof. 2. Determine the value or the range of C.
Used induction to proof that 2^n > n^2 if n is an integer greater than 4.
Used induction to proof that 2^n > n^2 if n is an integer greater than 4.
Solve the following recurrences: (a) T(n) = T(n=2) + O(n), with T(1) = 1. Solve this...
Solve the following recurrences: (a) T(n) = T(n=2) + O(n), with T(1) = 1. Solve this two times: one with the substitution method and one with the master theorem from CLRS. When you use the master theorem, carefully show the values for the parameters a; b. For the following cases you can use your preferred method. In either case, show your work: (b) T(n) = 2T(n/2) + O(1), T(1) = 1. (c) T(n) = 3T(n/2) + O(1), T(1) = 1....
Put the following complexity classes in ascending order. O(n log n) O(n) O(2^n) O(n^3)
Put the following complexity classes in ascending order. O(n log n) O(n) O(2^n) O(n^3)