document.write( "Question 26823: For what integral values of n is the expression 1^n + 2^n + 3^n + 4^n divisible by 5?
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Algebra.Com's Answer #14601 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! For what integral values of n is the expression 1^n + 2^n + 3^n + 4^n divisible by 5? \n" ); document.write( "WE CAN EASILY SEE THAT FOR N=1,2,3 ETC..IT IS DIVISIBLE BY 5..FOR EX...FOR N=1,WE HAVE \n" ); document.write( "1^1+2^1+3^1+4^1=1+2+3+4=10 WHICH IS DIVISIBLE BY 5..SIMILARLY FOR N=2,3 ETC.. \n" ); document.write( "IF YOU WANT A PROOF OF THE THEOREM USE INDUCTION METHOD ... \n" ); document.write( " |