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\(B=1+7+7^2+...+7^{63}\)
Nhận thấy từ số hạng thứ 2 của B đều chia hết cho 7, còn 1 chia 7 dư 1
nên B chia 7 dư 1
\(B=1+7+7^2+....+7^{63}\)
\(=1+\left(7+7^2+7^3\right)+\left(7^4+7^5+7^6\right)+...+\left(7^{61}+7^{62}+7^{63}\right)\)
\(=1+7\left(1+7+7^2\right)+7^4\left(1+7+7^2\right)+...+7^{61}\left(1+7+7^2\right)\)
\(=1+\left(1+7+7^2\right)\left(7+7^4+...+7^{61}\right)\)
\(=1+57\left(7+7^4+...+7^{61}\right)\)
Ta thấy \(57\left(7+7^4+...+7^{61}\right)⋮57\)
nên B chia 57 dư 1
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để rút gọn đc thì 63 chia hết cho x+1
=>x+1 thuộc Ư(63)
mà Ư(63)=1,3,7,9,2163
=>x+1=1,3,7,9,21,63
x=0,2,6,8,20,62
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A= - 2014 +2014 +1 . (-1) +(- 8) - 12/25 - 17/37 +13/25 - 20/37
A = ( -2014+2014) + ( - 1) +(-8) - (12/25 - 13/25 ) - (17/37 +20/37)
A = 0 +(-1) + (-8) +1/25 -1
A =(-9) +0,04 - 1
A = - 9,96
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/ (-37) +14+ 26 + 37
= (-37+37) + 14 + 26
= 0 + 14 + 26
= 40
2/ (-24) + 6 + 10+24
= (-24+24) + 6 +10
= 0 + 6 + 10
= 16
3/ 15+23+(-25) + (-23)
= (23-23) + 15 - 25
= 0 + 15 - 25
= -10
4/ 60+33+ (-50) +(-33)
= (33-33) + 60 -50
= 0 + 60 - 50
= 10
5/ (-16) + (-209) + (-14) + 209
= (-209+209) - 16 - 14
= 0 - 16 - 14
= -30
6/ (-12) + (-13) +36 + (-11)
= (-12-13-11) + 36
= -36 + 36
= 0
7/ -16+ 24 + 16-34
= (-16+16) + 24 - 34
= 0 + 24 - 34
= -10
8/ 25+37-48-25-37
= (37-37) + (25-25) - 48
= 0 + 0 - 48
= -48
9/2575+37-2576-29
= (2575-2576) + 37 - 29
= -1 + 37 - 29
= -1- 29 + 37
= -30 + 37
= 7
10/34 +35+36 +37-14-15- 16-17
= (34 - 14) + (35 - 15) + (36 - 16) + (37 - 17)
= 20 + 20 + 20 + 20
= 20 . 4
= 80
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Giải
Bài 1
\(1,a,-40-37-\left(-29\right)\\ =-40-37+29\\ =-77+29=-48\\ b,27+\left(-36\right)-\left(-45\right)=27-36+45\\ =-9+45\\ =36\\ c,-125-\left[\left(-18\right)-125\right]\\ =-125+18+125\\ =\left(-125+125\right)+18\\ =18\\ d,140+\left[\left(-184\right)-140\right]\\ =140-184-140\\ =\left(140-140\right)-184\\ =0-184\\ =-184\)
Bài 2
\(a,x-\left(-15\right)=-8\\ =>x+15=-8\\ =>x=-8-15\\ =>x=-23\\ b,-40-x=-35\\ =>x=\left(-40\right)-\left(-35\right)\\ =>x=-40+35\\ =>x=-5\\ c,x+\left(-50\right)=-27\\ =>x-50=-27\\ =>x=-27+50\\ =>x=23\)
1, Thực hiện phép tính:
\(a,-40+\left(-37\right)-\left(-29\right)=-77-\left(-29\right)=-48\)
\(b,27+\left(-36\right)-\left(-45\right)=-9-\left(-45\right)=36\)
\(c,-125-\left[\left(-18\right)-125\right]=-125-\left(-143\right)=18\)
\(d,140+\left[\left(-184\right)-140\right]=140+\left(-324\right)=-184\)
2, Tìm x biết:
\(a,x-\left(-15\right)=-8\)
\(x=-8+\left(-15\right)\)
\(x=-23\)
\(b,-40-x=-35\)
\(x=-40-\left(-35\right)\)
\(x=-5\)
\(c,x+\left(-50\right)=-27\)
\(x=-27-\left(-50\right)\)
\(x=23\)
= 101 nhaaaaaaaaaaaaaaaaaaaaa