What is the sum of this series: 1^3 +2^3 + 3^3 + 4^3 + 5^3............100^3?. Thanks for any help.
There is a well-known shortcut to this, and it is:
The sum of consecutive cubes =The sum of the consecutive numbers squared!. That is:
1^3 +2^3 + 3^3 + 4^3 + 5^3............100^3 =[1+2+3+4+5.......+100]^2
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, =[(100 x 101/2)]^2 =5050^2 =25,502,500.
