数学问题3+33+333+...+333 ...333 (1000) =?

3+33+333+...+333 ...333 (1000)

= (9+99+999+...+999 ...999 (1000))/3

= (10-1+100-1+0000-1+...+1000 ...000 (1000个零)

= (111 ...11110 (1000 1)-1000) /3

= 111...1110110 / 3

999 1

= 370370...370(332 370) 3370-3370 = 10110/3

-