Đặt \(A=1+4+4^2+\cdots+4^{2022}\)
=>\(4A=4+4^2+4^3+\cdots+4^{2023}\)
=>4A-A=\(4+4^2+4^3+\cdots+4^{2023}-1-4-4^2-\cdots-4^{2022}\)
=>3A=\(4^{2023}-1\)
=>\(A=\frac{4^{2023}-1}{3}\)
cho A=1+2022+2022^2+2022^3 +2022^4+...+2022^2016 + 2022^2017
và B= 2022^2018-1 . so sánh A và B
so sánh b=1/2022+2/2021+3/2020+...+2021/2+2022/1 VÀ c=1/2+1/3+1/4+...+1/2022+1/2023
a)2022.2023-2022/2021.2022+2022
b)1999.2000-1/1998.1997+3997
c)(1-1/2).(1-1/3).(1-1/4).(1-1/5)...(1-1/2022).(1-1/2023)
help me
Tính nhanh C=1/1*2*3+1/2*3*4+1/3*4*5+........+1/2021*2022*2023
\(\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2023}}{\dfrac{2022}{1}+\dfrac{2021}{2}+\dfrac{2020}{3}+...+\dfrac{1}{2022}}\)
so sánh các biểu thức C = 2020/2021+2021/2022+2022/2020vaf D=1/2+1/3+1/4+.....+1/15
so sánh các biểu thức C = 2020/2021+2021/2022+2022/2020vaf D=1/2+1/3+1/4+.....+1/15
