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a fost răspuns

Calculati : 1/1*2+1/2*3+1/3*4+........+1/99*100
Repede va rog!!

Răspuns :

1/1*2=1-1/2
1/2*3=1/2-1/3
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1/99*100=1/99-1/100
deci 1/1*2+1/2*3+....+1/99*100=1-1/2+1/2-1/3+1/3-1/4+........+1/99-1/100=
1-1/100=100/100-1/100=99/100

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