Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. prove that 1^3 + 2^3 + · · · + n^3 = (1 + 2...

Prove that 1^3 + 2^3 + · · · + n^3 = (1 + 2...

60.1K

Verified Solution

Question

Advance Math

Prove that 1^3 + 2^3 + · · · + n^3 = (1 + 2 + · · · + n)^2 forevery n ? N. That is, the sum of the first n perfect cubes is thesquare of the sum of the first n natural numbers. (As a student, Ifound it very surprising that the sum of the first n perfect cubeswas always a perfect square at all.)

Answer & Explanation Solved by verified expert
4.4 Ratings (790 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Geometry
1.2K views

Find the least common denominator (LCD) of and 4/15 and 9/10.

Physics
1.2K views

TYPE with KEYBOARD, please What is the purpose of Conservation of linear momentum experiment? And what is the...

Biology
1.2K views

How do all of these points relate to the topic of the lesson What do...

Geometry
1.2K views

Explore the properties of angles formed by two intersecting chords 1 The intersecting chords form...

Basic Math
1.2K views

Determine A Friday Sunday Wednesday Thursday B Friday Thursday Which of the following are true...

Calculus
1.2K views

Find g 1 if g x x sin g x x and g 1 0

Accounting
1.2K views

dAttached is the question, the excel and the template....help me come with a solution for...

Accounting
1.2K views

A preferred stock from Duquesne Light Company (DQUPRA) pays $3.80 in annual dividends. If the...

Accounting
1.2K views

On the first day of the fiscal year, a company issues a $1,000,000,7%, five-year bond...

Accounting
1.2K views

McCann Co. has identified an investment project with the following cash flows. 1 Year 1...

Finance
1.2K views

A completely diversified portfolio would have a correlation with the market portfolio that is ...

Finance
1.2K views

Please view the following video before answering this question. Video Example 9.6 A granary has...