SEARCH HOME
Math CentralQuandaries & Queries

search

Question from ireimaima, a student:

Hi..
Can u please help me with this question..
I find that when i test eg: n=2 for n (n+1) /4,
it seems that it does not giving me the right answer of 1^3 + 2^3 = 9
but 3/2... i'm confuse..can u please help me..thanks so much

Prove that:
1^3 + 2^3 + 3^3 +4^3 ... n^3 = n (n+1) /4

Ireimaima,

You are correct the expression you have is not correct It should be

13 + 23 + 33 + 43 ... n3 = [n (n+1) /2]2

Now can you prove it by induction?

Penny

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS