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calculati folosind proprietatile inmultirii si impartiri: (7/4+7/8+7/12+...+7/100)+(1/4+1/8+1/12+...1/100)=

Răspuns :

[7/4+7/8+7/12+...+7/100]+[1/4+1/8+1/12+...+1/100]
⇒7/4+7/8+7/12+....+7/100+1/4+1/8+1/12+...+1/100
⇒8/4+8/8+8/12+....+8/100
⇒8/4·1 +8/4·2 +8/4·3 +...+8/4 ·25
⇒8/4[1/1+1/2+1/3+...+1/25];