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Điền từ thích hợp :
Henry likes fishing. He fishes _in__ the river near our house.On Sunday afternoon, when he has _no_ work, he goes down to the river with a little seat and some sandwiches and _fishes_ until it is quite dark. There are always a few _other_ people there. They love fishing too, and they all still there quietly _an_ hour. Sometimes they catch some fish, sometime they do _not_. I do not like that kind of sport, because I am not very patient.
Once Henry _caught _ a big fish. He was very happy! All the other fisherman left their _places _ and came to see his fish.
Điền từ thích hợp :
Henry likes fishing. He fishes _in__ the river near our house.On Sunday afternoon, when he has _no_ work, he goes down to the river with a little seat and some sandwiches and _fishes_ until it is quite dark. There are always a few _other_ people there. They love fishing too, and they all still there quietly _an_ hour. Sometimes they catch some fish, sometime they do _not_. I do not like that kind of sport, because I am not very patient.
Once Henry _caught _ a big fish. He was very happy! All the other fisherman left their _places _ and came to see his fish.
Answer:
Chứng tỏ không phải số nguyên nhỉ?
\(A=1-\frac{3}{4}+\left(\frac{3}{4}\right)^2-\left(\frac{3}{4}\right)^3+...-\left(\frac{3}{4}\right)^{2009}+\left(\frac{3}{4}\right)^{2010}\)
\(\Rightarrow A.\frac{3}{4}=\frac{3}{4}-\left(\frac{3}{4}\right)^2+\left(\frac{3}{4}\right)^3+...-\left(\frac{3}{4}\right)^{2010}+\left(\frac{3}{4}\right)^{2011}\)
\(\Rightarrow\frac{3}{4}A+A=\left(\frac{3}{4}-\left(\frac{3}{4}\right)^2+\left(\frac{3}{4}\right)^3+...-\left(\frac{3}{4}\right)^{2010}+\left(\frac{3}{4}\right)^{2011}\right)+\left(1-\frac{3}{4}+\left(\frac{3}{4}\right)^2-\left(\frac{3}{4}\right)^3+...-\left(\frac{3}{4}\right)^{2009}+\left(\frac{3}{4}\right)^{2010}\right)\)
\(\Rightarrow\frac{7}{4}A=\left(\frac{3}{4}\right)^{2011}+1\)
\(\Rightarrow A=\frac{4.\left(\frac{3}{4}\right)^{2011}+4}{7}\)
Vậy A không phải số nguyên
A = 1 - (3/4) + (3/4)² - (3/4)³ + ... - (3/4)^2009 + (3/4)^2010
A.(3/4) = (3/4) - (3/4)² + (3/4)³ - (3/4)^4 +... - (3/4)^2010 + (3/4)^2011
cộng 2 đẳng thức trên lại vế theo vế:
A + A.(3/4) = 1 + (3/4)^2011 => 7A/4 = 1 + (3/4)^2011
=> 7A = 4 + 4.(3/4)^2011 không là số nguyên => A không nguyên
vậy A ko phải là số nguyên
ko nhắn lung tung nhé bạn
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