Aratati ca 6/7 <1/3+1/4 +1/5 +.....+1/98<32

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30 Agustus 2025 matematica 5 minute
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Clasă: Education Materie: matematica
Aratati ca 6/7 <1/3+1/4 +1/5 +.....+1/98<32
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Notezi  suma  cu  S, Suma  are 98-3+1=96  termeni<  S este  cuprinsa   intre   cel  mai   mic  si   cel   mai   mare   termen
1/98<S<1/3
Deoarece   sunt  96  termeni vei  avea  relatia
96*1/98<S<96/3
48/49<S<32
48/49>6/7 poti  dovedi   facand  produsul  mezilor  si  al  extremilor
Deci  S>6/7
asadar  6/7<S<32
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Răspunsul a fost dat în data 30 Agustus 2025

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