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Calculati suma:
1/1*2+1/2*3+...+1/31*32 .


Răspuns :

1/1*2+1/2*3+...+1/31*32 =1/1-1/2 +1/2-1/3+....+1/31-1/32=
=
1/1-1/32=(32-1)/32=31/32