Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2020-07-15 17:00:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Sum of first n natural numbers - fourth, fifth, and sixth powers.

Hi,

.

We know

Sum of first n natural numbers is

Sum of squares of first n natural numbers is

Sum of cubes of first n natural numbers is



In a similar manner, this is additional information.

Sum of fourth powers of n natural numbers is 

Sum of fifth powers of n natural numbers is

Sum of sixth powers of n natural numbers is


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

Board footer

Powered by FluxBB