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[manolemary]

Rezolvati on Q ecuatia
X*3^2004=(3^2004 - 1): ( 1 + 1/3+1/3^2+1/3^3 +...+ 1/3^2003)

[sorinborodi]

Rezolvati on Q ecuatia
X*3^2004=(3^2004 - 1): ( 1 + 1/3+1/3^2+1/3^3 +...+ 1/3^2003)

Calculezi suma din membrul drept (metoda uzuala este de a inmulti ambii membri cu baza puterilor, in acest caz 1/3).
S=1 + 1/3+1/3^2+1/3^3 +...+ 1/3^2003 │*1/3 =>
S/3=S―1+1/3^2004 etc.