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S=1/1+2 +1/1+2+3 +1/1+2+3+4 +...........+1/1+2+3+4+....2003 =

Răspuns :

S=1/1+2+1/1+2+3+1/1+2+3+4+.....+1/1+2+3+……+2003=
1/1-1/2+1/1-1/2-1/3+1/1-1/2-1/3-1/4+………+1/1+1/2-1/3……-1/2003=