Matematică
eduardmarian
2015-11-16 08:00:24
1+2+........+50 supra 4+8+......+800
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Panteadaniela
2015-11-16 13:38:31

(1+2+..+50)/4(1+2+...+200)= =50x51:2/4x200x201:2 =1275/80400 =17/1072

Claudel2001
2015-11-16 13:39:46

Salut, (1+2+...+50)/(4+8+...+800) 1+2+...+50 → suma lui Gauss : 50(50+1)/2 = 50•51/2 = 25•51 = 1275. 4+8+...+800 = 4(1+2+...+200) → suma lui Gauss :200(200+1)/2 = 200•201/2 = 100•201 = 20100. 4•20100 = 80400. (1+2+...+50)/(4+8+...+800) = =1275/80400 = 51/3216 (am simplificat prin 25). Succes! :3

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