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Cat face 1 supra 2*3 + 1 supra 3*4 +1 supra 4*5 ...+1 supra 99*100 plzz

Răspuns :

= ( 3-2)/2x3 + (4-3)/3x4+....+(100-99)/99x100= 3/2x3-2/2x3 + 4/3x4-3/3x4+....+100/99x100-99/99x100 se simplifica si rezulta= 1/2-1/3+ 1/3-1/4+....+ 1/99-1/100= 1/2-1/100= ( 50-1)/100= 49/100