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2012 BAMO B/1 last digit of sum 1^{2012}+2^{2012}+...+2011^{2012}

Source:

August 26, 2019

number theoryLast digitSum

Problem Statement

Answer the following two questions and justify your answers: (a) What is the last digit of the sum

1^{2012}+2^{2012}+3^{2012}+4^{2012}+5^{2012}

? (b) What is the last digit of the sum

1^{2012}+2^{2012}+3^{2012}+4^{2012}+...+2011^{2012}+2012^{2012}