Răspuns :
Răspuns:
3+5+9+__5__+1999+2001-2-4-6-8- 10-1998-2000=1
Explicație pas cu pas:
Hi-hi
3+5+7+9+...+1999+2001-2-4-6-8-...-1998-2000=
= 3+5+7+9+...+1999+2001-2(1+2+3+4+...+1000)=
= 3+5+7+9+...+1999+2001-2* =
= 3+5+7+9+...+1999+2001-1000*1001=
=1+2+3+4+...+2000+2001-2-4-6-8-...-2000-1-1000*1001=
= -2(1+2+...+1000)-1000*1001-1=
=1001*2001-1001*1000-1000*1001-1=
=1001(2001-1000-1000)-1=
=1001-1=1000
= 3+5+7+9+...+1999+2001-2(1+2+3+4+...+1000)=
= 3+5+7+9+...+1999+2001-2* =
= 3+5+7+9+...+1999+2001-1000*1001=
=1+2+3+4+...+2000+2001-2-4-6-8-...-2000-1-1000*1001=
= -2(1+2+...+1000)-1000*1001-1=
=1001*2001-1001*1000-1000*1001-1=
=1001(2001-1000-1000)-1=
=1001-1=1000