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X+2X+3X+...+100X_EGAL50500       SUMA LUI GAUS REPEDE

Răspuns :

Didi12342
X + 2X + 3X +...+ 100X = 50 500
dam factor comun pe X
X( 1 + 2 + 3 +...+ 100) = 50 500

X × 100 × (100 + 1) : 2 = 50 500

X × 50 × 101 = 50 500

X × 5 050 = 50 500

X = 50 500 : 5 050

X = 10
x+2x+..+100x=50500

x(1+2+...+100)=50500

x·100·101:2=50500

x·5050=50500

x=10

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