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Find the value of the function A(T(2021))

Source: Bangladesh Mathematical Olympiad 2021 Problem 1

February 20, 2022
algebrafunctional equation

Problem Statement

For a positive integer nn, let A(n)A(n) be the equal to the remainder when nn is divided by 1111 and let T(n)=A(1)+A(2)+A(3)+⋯+A(n)T(n)=A(1)+A(2)+A(3)+ \dots + A(n). Find the value of A(T(2021))A(T(2021))
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