194 và 16.18.20.22
SO SÁNH
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\(\frac{7}{11}>\frac{7}{7}>\frac{4}{7}\) \(\Rightarrow\frac{7}{11}>\frac{4}{7}\)
\(\frac{2018}{2020}< \frac{2018}{1}< 2019\) \(\Rightarrow\frac{2018}{2020}< 2019\)
\(\frac{145}{141}< \frac{145}{135}< \frac{132}{135}\) \(\Rightarrow\frac{145}{141}< \frac{132}{135}\)
\(\frac{1975}{1972}< \frac{1975}{194}< \frac{197}{194}\) \(\Rightarrow\frac{1975}{1972}< \frac{197}{194}\)
\(\frac{37}{39}>\frac{37}{43}>\frac{36}{43}\Rightarrow\frac{37}{39}>\frac{36}{43}\)
\(\frac{2000}{4000}=\frac{2}{4}=\frac{1}{2}\Rightarrow\frac{1}{2}=\frac{2000}{4000}\)
B = B = 1 3 + 1 16 + 1 19 + 1 21 + 1 61 + 1 72 + 1 83 + 1 94 < 1 3 + 1 15 + 1 15 + 1 15 + 1 60 + 1 60 + 1 60 + 1 60 < 1 3 + 3 15 + 4 60 = 5 15 + 3 15 + 1 15 = 3 5 ⇒ B < 3 5
a, 1 + 2 + 3 + 4 3 = 100; 1 3 + 2 3 + 3 3 + 4 3 = 100 nên 1 + 2 + 3 + 4 3 = 1 3 + 2 3 + 3 3 + 4 3
Vậy 1 + 2 + 3 + 4 3 = 1 3 + 2 3 + 3 3 + 4 3
b, 16.18.20.22 = (19 – 3)(19 – 1)(19 + 1)(19 + 3)
= (19 – 3)(19+3)(19 – 1)(19 + 1)
= ( 19 2 – 9)( 19 2 – 1)
= 19 4 - 9 . 19 2 - 19 2 + 9
= 19 4 - 10 . 19 2 + 9 < 19 4
Vậy 16.18.20.22 < 19 4
Sửa đề: \(98+99+\dfrac{142}{144}\) \(\rightarrow\dfrac{98}{99}+\dfrac{143}{144}\)
Giải:
\(A=\dfrac{2}{3}+\dfrac{14}{15}+\dfrac{34}{35}+\dfrac{62}{63}+\dfrac{98}{99}+\dfrac{143}{144}+\dfrac{194}{195}\)
\(A=\left(1-\dfrac{1}{3}\right)+\left(1-\dfrac{1}{15}\right)+\left(1-\dfrac{1}{35}\right)+...+\left(1-\dfrac{1}{195}\right)\)
\(A=7-\left(\dfrac{1}{3}+\dfrac{1}{15}+\dfrac{1}{35}+...+\dfrac{1}{195}\right)\)
\(A=7-\left(\dfrac{1}{1.3}+\dfrac{1}{3.5}+\dfrac{1}{5.7}+...+\dfrac{1}{13.15}\right)\)
\(A=7-\left[\dfrac{1}{2}.\left(\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{13.15}\right)\right]\)
\(A=7-\left[\dfrac{1}{2}.\left(\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{13}-\dfrac{1}{15}\right)\right]\)
\(A=7-\left[\dfrac{1}{2}.\left(\dfrac{1}{1}-\dfrac{1}{15}\right)\right]\)
\(A=7-\left[\dfrac{1}{2}.\dfrac{14}{15}\right]\)
\(A=7-\dfrac{7}{15}\)
\(A=\dfrac{98}{15}\)
Chúc bạn học tốt!
Trả lời :
Bn Dương Gia BẢO đùng bình luận linh tinh nhé !
- Hok tốt !
^_^
194×2,4+7,4×194×194+194
=194×2,4+7,4×194+194×1+194×1
=194×(2,4+7,4+1+1)
=194×11,8
=2289,2