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cum se face x+2x+3x+........100x=50500. x=?

Răspuns :

x+2x+3x+......+100x=50.500
x(1+2+...+100)=50500
x(100*101:2)=50500
x*5050=50500
x=50500:5050
x=10
x+2x+3x+...+100x=50 500
1+x·2+x·3+ ...+x·100=50 500
x(1+ 2+ 3+ ...+100)=50 500
x(100·101:2)=50 500
x·50·101=50 500
 x·5 050=50 500  I :5 050
  x        =      10