chung to : 1/5 + 1/16 + 1/25 + 1/41 + 1/60 + 1/85 + 1/113 < 1/2
Những câu hỏi liên quan
Chứng tỏ :
\(\frac{1}{5}+\frac{1}{16}+\frac{1}{25}+\frac{1}{41}+\frac{1}{60}+\frac{1}{85}+\frac{1}{113}< \frac{1}{2}\)
chứng minh
\(\frac{1}{5}+\frac{1}{16}+\frac{1}{25}+\frac{1}{41}+\frac{1}{60}+\frac{1}{85}+\frac{1}{113}< \frac{1}{2}\)\(\frac{1}{2}\)
Ta có:
\(\hept{\begin{cases}\frac{1}{5}=\frac{1}{5}\\\frac{1}{16}< \frac{1}{5}\\\frac{1}{113}< \frac{1}{5}\end{cases}}...\)\(\Rightarrow\frac{1}{5}+\frac{1}{16}+\frac{1}{25}+\frac{1}{41}+\frac{1}{60}+\frac{1}{85}+\frac{1}{113}< \frac{1}{5}.7=\frac{7}{5}< \frac{10}{5}=2\)(ĐPCM)
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chung minh rang:
1/5+1/13+1/25+1/41+1/61+1/85+1/113<1/2
1/5+1/13+1/25+1/41+1/61+1/85+1/113
=1/5+(1/13+1/25+1/41)+(1/85+1/61+1/113)<15+1/12+1/12+1/12+1/60+1/60+1/60
..............................................................<1/5+1/4+1/20
..............................................................<4/20+5/20+1/20
..............................................................<1/2
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so sanh 1/2 va 1/5 + 1/13 + 1/25 + 1/41 + 1/85 + 1/113
CtR : 1/5+1/15+1/25+1/41+1/6+1/85+1/113 <1/2
CMR: 1/5+1/13+1/25+1/41+1/61+1/85+1/113<1/2
CtR : 1/5+1/15+1/25+1/41+1/6+1/85+1/113 <1/2
CtR : 1/5+1/15+1/25+1/41+1/6+1/85+1/113 <1/2
de sai ban oi to thu may tinh do nghe
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CtR : 1/5+1/15+1/25+1/41+1/6+1/85+1/113 <1/2