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Ta có:\(\dfrac{20}{2\times7}+\dfrac{20}{7\times12}+\dfrac{20}{12\times17}+\dfrac{20}{17\times22}+\dfrac{20}{22\times27}+\dfrac{20}{27\times32}\)
\(=4\times\left(\dfrac{5}{2\times7}+\dfrac{5}{7\times12}+\dfrac{5}{12\times17}+\dfrac{5}{17\times22}+\dfrac{5}{22\times27}+\dfrac{5}{27\times32}\right)\)
\(=4\times\left(\dfrac{1}{2}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{12}+\dfrac{1}{12}-\dfrac{1}{17}+\dfrac{1}{17}-\dfrac{1}{22}+\dfrac{1}{22}-\dfrac{1}{27}+\dfrac{1}{27}-\dfrac{1}{32}\right)\)
\(=4\times\left(\dfrac{1}{2}-\dfrac{1}{32}\right)=4\times\dfrac{15}{32}=\dfrac{30}{16}\)
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\(\frac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}=\frac{2^{40}-2^{20}+2^{20}.3^{20}}{2^{20}.3^{20}-3^{20}+3^{40}}\)
\(=\frac{2^{20}\left(2^{20}-1+3^{20}\right)}{3^{20}\left(2^{20}-1+3^{20}\right)}\)
\(=\frac{2^{20}}{3^{20}}\)
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\(A=1+\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{36}.\)
\(\frac{A}{2}=\frac{1}{2}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{72}\)
\(\frac{A}{2}=\frac{1}{2}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{8x9}\)
\(\frac{A}{2}=\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{8}-\frac{1}{9}\)
\(\frac{A}{2}=\frac{1}{2}+\frac{1}{3}-\frac{1}{9}=\frac{13}{18}\Rightarrow A=\frac{13}{9}\)
số cần tìm
20+20+20+20+20=100
đáp số :100
mik đầu tiên nhá
HÂỤ DUỆ CỦA MẶT TRỜI
Số cần tìm là :
20+20+20+20+20=100
Đ/s:100
ai k mk mk k lạiHÂỤ DUỆ CỦA MẶT TRỜI![](/images/avt/avt3/avt589203_60by60.jpg)