Răspuns :
a.
1+2+...+100=100•101:2
=50•101
=5050
5050:5050=1
b.
2+4+6+..200=2•(1+2+3+...+100)
=2•100•101:2
=100•101
=10100
1+2+...+100=100•101:2
=50•101
=5050
5050:5050=1
b.
2+4+6+..200=2•(1+2+3+...+100)
=2•100•101:2
=100•101
=10100
Suma Gauss
din 1 în 1.
a) (1+ 2+ 3+ ...+100):5 050=
100·101:2:5 050=
50·101:5 050=
5 050:5 050=
1
b) ( 2+ 4+ 6+ ...+ 200): (4+ 8+ 12+ ...+ 400)=
2(1+2+...+100): 4(1+2+...+ 100)=
2:4=
1
2
a) (1+ 2+ 3+ ...+100):5 050=
100·101:2:5 050=
50·101:5 050=
5 050:5 050=
1
b) ( 2+ 4+ 6+ ...+ 200): (4+ 8+ 12+ ...+ 400)=
2(1+2+...+100): 4(1+2+...+ 100)=
2:4=
1
2
