tính (2x3x4x...x2023/1x2x3x4x...x2022)x(2x3x4x...x2023/1x2x3x4x...x2024)
Cho biểu thức M = x2023 - 2023.(x2022 - x2021 + x2020 - x2019 + ... + x2 - x )
Tính giá trị của biểu thức M với x = 2022
\(M=x^{2023}-2023.\left(x^{2022}-x^{2021}+x^{2020}-x^{2019}+...+x^2-x\right)\)
Ta có : \(x=2022\Rightarrow x+1=2023\)
\(\Rightarrow M=x^{2023}-\left(x+1\right).\left(x^{2022}-x^{2021}+x^{2020}-x^{2019}+...+x^2-x\right)\)
\(\Rightarrow M=x^{2023}-\left(x+1\right)x^{2022}+\left(x+1\right)x^{2021}-\left(x+1\right)x^{2020}+\left(x+1\right)x^{2019}+...-\left(x+1\right)x^2+\left(x+1\right)x\)
\(\Rightarrow M=x^{2023}-x^{2023}-x^{2022}+x^{2022}+x^{2021}-x^{2021}-x^{2020}+x^{2020}+x^{2019}-x^{2019}-...-x^3-x^2+x^2+x\)
\(\Rightarrow M=x\)
\(\Rightarrow M=2022\)
Vậy \(M=2022\left(tạix=2022\right)\)
1x2x3x4x....x9 - 1x2x3x4x...x.8 - 1x2x3x4....x8^2
1.2.3...9 - 1.2.3...8 - 1.2.3...82
= 1.2.3...8.(9 - 1 - 8)
= 1.2.3...8.0
= 0
x1+x2+x3+x4+…+x2023=0 và x1+x2+x3+x4+x5+x6=…1
\(A=\frac{1}{1x2x3}+\frac{1}{2x3x4x}+\frac{1}{3x4x5}+...+\frac{1}{36x37x38}+\frac{1}{37x38x39}\)
giúp nha
A = 2/1x2x3 + 2/2x3x4 + 2/3x4x5 + ... + 2/36x37x38 + 2/37x38x39
A = 1/1x2 - 1/2x3 + 1/2x3 - 1/3x4 + 1/3x4 - 1/4x5 + ...+ 1/36x37 - 1/37x38 + 1/37x38 - 1/38x39
A = 1/2 - 1/38x39
A = 370/741
Tớ ko chắc là đúng đâu
tính nhanh ( 121212x5252 - 525252 x 12 ) : ( 1x2x3x4x .....x1000000 )
tính nhanh: 1x2x3x4x...x2017
tính:1x2x3x4x...x98x99
Tính: 1x2x3x4x.....x100
1 x 2 x 3 x 4 x... x 100
= 100!
Bạn mk nha
1 x 2 x 3 x 4 x ... x 100
Trả lời :
1 x 2 x 3 x 4 x ... x 100 = 100!
Tính:1x6!+1x2x6!+1x2x3x6!+...+1x2x3x4x..x10x6!