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a) 8180 < 2790
b) 377 > 738
c) 536 < 1124
d) 291 < 535
Đúng thì k, sai thì thôi
Trả lời :......................................
77.................................................
Hk tốt,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
số sh cua tong A bang so hang cua day so cach deu 1 don vi tu 1 den 60
so sh cua tong A la:(60-1):1+1=60 (sh)
Cu 3 sh lien tiep cua tong A nhom thanh 1 nhom thi ta duoc so nhom la : 60: 3=20(nhom)
khi do : A = (2+2^2+2^3)+(2^4+2^5+2^6)+(2^7+2^8+2^9)+....+(2^58+2^59+2^60)
A=(2+2.2+2.2^2)+(2^4+2^4.2+2^4.2^2)+(2^7+2^7.2+2^7.2^2)+.....+(2^58
2^58.2+2^58.2^2)
A=2(1+2+2^2)+2^4(1+2+2^2)+2^7(1+2+2^2)+...+2^58(1+2+2^2)
A=2.7+2^4.7+2^7.7+...+2^58.7
A=7(2+2^4+2^7+...+2^58)
Vi 7 chia het cho 7
2+2^4+2^7+...+2^58 thuoc N
Suy ra 7(2+2^4+2^7+...+2^58) chia het cho 7
hay A chia het cho 7
Vay A chia het cho 7
Câu 1:
abc >/ 100 ; bca >/ 100 ; cab>/100
< = > abc + bca + cab >/300
< = > abc + bca + cab >/ 111
câu 1 :
10 . 72 - 10 . 5 + 10 + 32
= 10( 72 - 5 + 1 ) + 32
= 10 . 45 + 32
= 450 + 482
câu 2 :
54 : [ 452 - ( 2020 - 20180 . 12019 ) ]
= 54 : [ 2025 - ( 2020 - 1 . 1 ) ]
= 54 : [ 2025 - 2019 ]
= 54 : 6
= 9
1) Đặt \(A=2+2^2+2^3+...+2^{100}\)
\(=\left(2+2^2\right)+\left(2^3+2^4\right)+...+\left(2^{99}+2^{100}\right)\)
\(=2\left(1+2\right)+2^3\left(1+2\right)+...+2^{99}\left(1+2\right)\)
\(=2.3+2^3.3+...+2^{99}.3\)
Vì \(3⋮3\) nên \(2.3+2^3.3+...+2^{99}.3⋮3\)
hay \(A⋮3\)(đpcm)
2) Đặt \(B=3+3^2+3^3+...+3^{1998}\)
\(=\left(3+3^2+3^3\right)+\left(3^4+3^5+3^6\right)+...+\left(3^{1996}+3^{1997}+3^{1998}\right)\)
\(=3\left(1+3+3^2\right)+3^4\left(1+3+3^2\right)+...+3^{1996}\left(1+3+3^2\right)\)
\(=3.13+3^4.13+...+3^{1996}.13\)
\(=39+3^3.39+...+3^{1995}.39\)
Vì \(39⋮39\)nên \(39+3^3.39+...+3^{1995}.39⋮39\)
hay \(B⋮39\)(đpcm)
a) 2+22+23+...+2100
=(2+22+23+24+25)+(26+27+28+29+210)+.....+(296+297+298+299+2100)
=2(1+2+22+23+24)+26(1+2+22+23+24)+....+296(1+2+22+23+24)
=2(1+2+4+8+16)+26(1+2+4+8+16)+....+296(1+2+4+8+16)
=2.31+26.31+....+296.31
=31(2+26+....+296)
=> đpcm
Ta có: \(A=2^2+2^4+...+2^{200}\)
\(\Leftrightarrow\frac{A}{4}=1+2^2+...+2^{198}\)
\(\Leftrightarrow A-\frac{A}{4}=\left(2^2+2^4+...+2^{200}\right)-\left(1+2^2+...+2^{198}\right)\)
\(\Leftrightarrow\frac{3}{4}A=2^{200}-1\)
\(\Rightarrow A=\frac{2^{202}-4}{3}\)
772.22=(77.2)2=1342
Ngọc Nguyễn Minh sai rồi mà bạn