So sánh \(U=\frac{1.3.5.7...39}{21.22.23...40}\) và V=\(\frac{1}{2^{20}-1}\)
Ai nhanh nhất mik tick cho
so sánh \(U=\frac{1.3.5.7....39}{21.22.23...40}\)và \(V=\frac{1}{2^{20}-1}\)
so sánh \(U=\frac{1.3.5.7....39}{21.22.23...40}\)và \(V=\frac{1}{2^{20}-1}\)
So Sánh: U = \(\frac{1.3.5.7...39}{21.22.23...40}\)và V = \(\frac{1}{20^{20}-1}\)
so sánh \(U=\frac{1.3.5.7...39}{21.22....40}\)và \(V=\frac{1}{2^{20}-1}\)
Chứng minh rằng
\(\frac{1.3.5.7....39}{21.22.23....40}=\frac{1}{2^{20}}\)
\(\frac{1.3.5.7...39}{21.22.23...40}=\frac{\left(2.4.6.8...40\right).\left(1.3.5.7...39\right)}{\left(2.4.6.8...40\right).\left(21.22.23...40\right)}=\frac{1.2.3.4...40}{^{2^{20}.1.2.3.4...40}}=\frac{1}{2^{20}}\)
\(\frac{1.3.5.7....39}{21.22.23....40}=\frac{\left(2.4.6....40\right).\left(1.3.5.7....39\right)}{\left(2.4.6....40\right).\left(21.22.23...40\right)}=\frac{1.2.3.4....40}{2^{20}.1.2.3.4....40}=\frac{1}{2^{20}}\)
cmr 1.3.5....39/21.22.23......40=1/2^20
ai nhanh nhất mk tick
So sánh : U=1.3.5...39/21.22.23...40 với
1/2^20-1
So sánh: V=\(\dfrac{1}{2^{20}-1}\) và U=\(\dfrac{1.3.5...99}{21.22.23...40}\)
Giải giúp tớ với tớ cần gấp!!!
ko giải đâu
đùa thôi =)
Chứng minh rằng : \(\dfrac{1.3.5.7...39}{21.22.23..40}=\dfrac{1}{2^{20}}\)
CM: \(\dfrac{1\cdot3\cdot5\cdot7\cdot\cdot\cdot39}{21\cdot22\cdot23\cdot\cdot\cdot40}=\dfrac{1}{2^{20}}\)
Biến đổi vế trái:
\(\dfrac{1\cdot3\cdot5\cdot7\cdot\cdot\cdot39}{21\cdot22\cdot23\cdot\cdot\cdot40}=\dfrac{1\cdot3\cdot5\cdot7\cdot\cdot\cdot19}{22\cdot24\cdot26\cdot\cdot\cdot40}\)
\(=\dfrac{1\cdot3\cdot5\cdot7\cdot\cdot\cdot19}{2\cdot11\cdot2^3\cdot3\cdot2\cdot13\cdot2^2\cdot7\cdot2\cdot15\cdot2^5\cdot2\cdot17\cdot2^2\cdot9\cdot2\cdot19\cdot2^3\cdot5}\)
\(=\dfrac{1\cdot3\cdot5\cdot7\cdot\cdot\cdot19}{\left(3\cdot5\cdot7\cdot\cdot\cdot19\right)2^{20}}\)
\(=\dfrac{1}{2^{20}}\)