|x-1|+|x+1|+|x-2|+|x+2|+...+|x-2020|+|x+2020| ifodani x>2020 da hisoblang.

$x>2020$ bo‘lganda barcha modul ichidagi ifodalar musbat, shuning uchun har bir juftlik $|x-k|+|x+k|=(x-k)+(x+k)=2x$ ga teng ($k=1, 2, ..., 2020$). Juftliklar soni 2020 ta, demak yig‘indi $2020\cdot2x=4040x$.

Manba: UZBMB namunaviy test topshiriqlari (2022, mutaxassislik)