Chứng minh rằng \(\frac{1}{26}\)+\(\frac{1}{27}\)+\(\frac{1}{28}\)+....................+\(\frac{1}{50}\)= \(1\)-\(\frac{1}{2}\)+\(\frac{1}{3}\)-\(\frac{1}{4}\)+..............+\(\frac{1}{49}\)-\(\frac{1}{50}\) Ai làm nhanh nhất mình sẽ tk cho 6...
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Chứng minh rằng
\(\frac{1}{26}\)+\(\frac{1}{27}\)+\(\frac{1}{28}\)+....................+\(\frac{1}{50}\)= \(1\)-\(\frac{1}{2}\)+\(\frac{1}{3}\)-\(\frac{1}{4}\)+..............+\(\frac{1}{49}\)-\(\frac{1}{50}\) Ai làm nhanh nhất mình sẽ tk cho 6 cái
1/26+1/27+1/28+.....+1/50=1-1/2+1/3-1......
\(\Leftrightarrow\)2/26+2/28+2/30+.....+2/50=1-1/2+1/3-1......
\(\Leftrightarrow\)1/13+1/14+1/15+.....+1/25=1-1/2+1/3-1......
\(\Leftrightarrow\)2/14+2/16+2/18+.....+2/24=1-1/2+1/3-1......
\(\Leftrightarrow\)1/7+1/8+1/9+........+1/12=1-1/2+1/3-1/4+......
\(\Leftrightarrow\)2/8+2/10+2/12+....=1-1/2+1/3-1/4+1/5-1/6
\(\Leftrightarrow\)1/4+1/5+1/6=1-1/2+1/3-1/4+1/5-1/6
\(\Leftrightarrow\)2/4+2/6=1-1/2+1/3
\(\Leftrightarrow\)1/2+1/3=1-1/2+1/3
\(\Leftrightarrow\)2/2=1
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CHÚC BẠN MAY MẮN LẦN SAU
TK MÌNH NHÉ