1/2022x2023 + 1/2023x2024 + 1/2024
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\(\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+...+\dfrac{1}{2023\times2024}\\ =1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2023}-\dfrac{1}{2024}\\ =1-\dfrac{1}{2024}=\dfrac{2023}{2024}\)
1/1*2+1/2*3+...+1/2023*2024=1-1/2+1/2-1/3+...+1/2023-1/2024
=1-1/2024=2023/2024
\(B=\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{4.5}+...+\dfrac{1}{2022.2023}\)
\(B=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{2022}-\dfrac{1}{2023}\)
\(B=\dfrac{1}{2}-\dfrac{1}{2023}=\dfrac{2021}{4046}\)
21 + 34 + 36 - 12
= (34 + 36) + (21 - 12)
= 70 + 9
= 79
Chúc bn học tốt!
a. \(\dfrac{2021+2020.2022}{2021.2022-1}\)
\(\dfrac{2021.2022-2022+2021}{2021.2022-1}=\dfrac{2021.2022-1}{2021.2022-1}=1\)
\(b.\dfrac{2022+2021.2023}{2022.2023-1}=\dfrac{2021.2023-2023+2022}{2022.2023-1}\)
\(=\dfrac{2021.2023-1}{2022.2023-1}\)
1/(2022 × 2023) + 1/(2023 × 2024) + 1/2024
= 1/2022 - 1/2023 + 1/2023 - 1/2024 + 1/2024
= 1/2022
= 1/2022 - 1/2023 + 1/2023 - 1/2024 + 1/2024 x 1
= 1 - 1/2022
= 2021/2022
mik ko biết đúng ko!