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câu 1: 10+9(2^5+2^3):5-2018= 10+9(32+8):5-1= 10+9.40:5-1= 10+360:5-1= 10+72-1=92-1=91
câu 2:mình chưa học số âm bạn nhé
B,2(x+17):8=5
2(x+17)=5.8
2(x+17)=40
x+17=40:2
x+17=20
x=20-17
x=3
a)\(\left(316-25-19^2\right):56+19\cdot5\)
\(=\left(316-25-361\right):56+95\)
\(=-70\cdot56+95=-3825\)
b) \(\left(3^5\cdot3^8:3^{11}-2^3\right)+2018=\left(3^{13}:3^{11}-8\right)+2018=\left(3^2-8\right)+2018=1+2018=2019\)
\(a,\left[316-25-19^2\right]:56+19.5\)
\(=\left[291-361\right]:56+95\)
\(=-70:56+95\)
\(=-1,25+95\)
\(=93.75\)
\(b,\left[3^5.3^8:3^{11}-2^3\right]+2018\)
\(=\left[3^{13}:3^{11}-8\right]+2018\)
\(=\left[3^2-8\right]+2018\)
\(=\left[9-8\right]+2018\)
\(1+2018=2019\)
Hc tốt nha ^^
b ) \(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{99.100}\)
= 1 - 1/2 + 1/2 - 1/3 + ... + 1/99 - 1/100
= 1 - 1/100
= 99/100
c ) Đặt A = \(\frac{1}{2^2}+\frac{1}{3^2}+...+\frac{1}{100^2}\)
=> A < \(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{99.100}\)
=> A < 1 - 1/2 + 1/2 - 1/3 + ... + 1/99 - 1/100= 1 - 1/100 = 99/100 < 1
Vậy \(\frac{1}{2^2}+\frac{1}{3^2}+...+\frac{1}{100^2}\)< 1
b, \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{98.99}+\)\(\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)
c,Ta thấy
\(\frac{1}{2^2}< \frac{1}{1.2}\)
\(\frac{1}{3^2}< \frac{1}{2.3}\)
\(\frac{1}{4^2}< \frac{1}{3.4}\)
\(.....\)
\(\frac{1}{100^2}< \frac{1}{99.100}\)
\(\Rightarrow\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{100^2}\)\(< \frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}< 1\)
\(\Rightarrow\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{100^2}< 1\left(đpcm\right)\)
Đề ko sai đâu
ta có A= 1+2+22+23+...+22018
=> 2A=2 +22+23+24+....+22019
=> 2A-A=(2+22+23+24+...+22019)-(1+2+22+23+....+22018)
=> A=2+22+23+34+...+22019-1-2-22-23-...-22018
=> A= 22019-1
Vậy A=22019 -1
tk mk nha bn
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