a) 5/3 ; 4/3 ; 5/4 ; 3/4.
b) 5/3 ; 5/6 ; 7/4 ; 7/12.
Theo thứ tự từ bé đến lớn.
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Bài 3:
a: a*S=a^2+a^3+...+a^2023
=>(a-1)*S=a^2023-a
=>\(S=\dfrac{a^{2023}-a}{a-1}\)
b: a*B=a^2-a^3+...-a^2023
=>(a+1)B=a-a^2023
=>\(B=\dfrac{a-a^{2023}}{a+1}\)
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a) Calculate:1 + 3 + 5 + ...... + 57 = .....
b) Calculate:3 - 1 + 5 - 3 + 7 - 5 + ... + 99 - 97 =....
Mình chỉ biết làm phần a thôi à :
a , Dãy trên có số số hạng là :
( 57 - 1 ) : 2 + 1 = 29 ( số hạng )
Vậy tổng của tất cả các số lẻ từ 1 đến 57 là :
( 57 + 1 ) x 29 : 2 = 841
Đáp số : 841
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a)\(\dfrac{a}{b}=5-\dfrac{3}{5}=\dfrac{25}{5}-\dfrac{3}{5}=\dfrac{22}{5}\)
b)\(\dfrac{a}{b}=\dfrac{5}{6}+\dfrac{4}{7}=\dfrac{35}{42}+\dfrac{24}{42}=\dfrac{59}{42}\)
c)\(\dfrac{a}{b}=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{3}{5}\times\dfrac{3}{2}=\dfrac{9}{10}\)
\(a^3.a^9=a^{12};\left(a^5\right)^7=a^{35}\)
\(\left(a^6\right)^4.a^{12}=a^{24}.a^{12}=a^{36};5^6:5^4-3^3:3^2=25-3=22\)
\(4.5^2-2^5.3^0=100-32=68\)
a) \(3^5.3^7=3^{5+7}=3^{12}\)
b) \(a^5.a=a^{5+1}=a^6\)
c) \(5^4:5^3=5^{4-3}=5^1=5\)
d) \(a^3:a^3=a^{3-3}=a^0=1\)
a. 3/4; 5/4; 4/3; 5/3
b. 7/12; 5/6; 5/3; 7/4