Elruso Messages 5 Reaction score 0 Thread starter May 30, 2007 #1 Homework Statement How do you simplify : 1^3+2^3+3^3+4^3+...+99^3+100^3(mod4) Please try to explain the solution as detailed as possible or atleast so I can understand it.
Homework Statement How do you simplify : 1^3+2^3+3^3+4^3+...+99^3+100^3(mod4) Please try to explain the solution as detailed as possible or atleast so I can understand it.
D H Staff Emeritus Science Advisor Homework Helper Insights Author Messages 15,524 Reaction score 769 May 30, 2007 #2 Use the fact that (4a+b)^3 mod 4 = b^3 mod 4. All you have to worry about are b=1,2,3,4. All of the other terms in the sum are duplicates.
Use the fact that (4a+b)^3 mod 4 = b^3 mod 4. All you have to worry about are b=1,2,3,4. All of the other terms in the sum are duplicates.