M=54-1/2(1+2)-1/3(1+2+3)-1/4(1+2+3+4)-....-1/12(1+2+....+12)
\(M=54-\frac{1}{2}\left(1+2\right)-\frac{1}{3}\left(1+2+3\right)-\frac{1}{4}\left(1+2+3+4\right)-....-\frac{1}{12}\left(1+2+3+...+12\right)\)
M = \(54-\frac{1}{2}\left(1+2\right)-\frac{1}{3}\left(1+2+3\right)-...-\frac{1}{12}\left(1+2+3+...+12\right)\)
\(54-\left(\frac{3}{2}+\frac{4}{2}+...+\frac{13}{2}\right)=54-\frac{1}{2}\left(3+4+5+...+13\right)=54-\frac{1}{2}.176=54-88\)
= -24
Tìm M, biết:
M = 54-\(\frac{1}{2}\). ( 1+2 ) - \(\frac{1}{3}\). ( 1+2+3 ) -\(\frac{1}{4}\)- ( 1+2+3+4) - ... - \(\frac{1}{12}\). ( 1+2+3+...+12)
M = 54 - \(\frac{1}{2}\). \(\frac{2.3}{2}\)- \(\frac{1}{3}\). \(\frac{3.4}{2}\)- \(\frac{1}{4}\). \(\frac{4.5}{2}\)- ... - \(\frac{1}{12}\).\(\frac{12.13}{2}\)
= 54- \(\frac{3}{2}\)- \(\frac{4}{2}\)- \(\frac{5}{2}\)- ...- \(\frac{13}{2}\)
= 54 -\(\frac{1}{2}\). ( 1+2+3+4+5+6+...+12 -1-2)
= 54 \(\frac{1}{2}\). \(\frac{13.14}{2}-3\)
=54-\(\frac{1}{2}\)(91-3)
=54-\(\frac{1}{2}\).88
= 10
Vậy M = 10
( lưu ý : \(\frac{13.14}{2}-3\)ở trong ngoặc do k bt ghi kiểu j nên để đạm vậy )
Bài 2: Viết tiếp 2 số hạng vào dãy số sau:
a) 10, 13, 18, 26, ...
b) 0, 1, 2, 4, 7, 12, ...
c) 0, 1, 4, 9, 18, ...
d) 5, 6, 8, 10, ...
e) 1, 6, 54, 648, ... ...
k) 1, 3, 3, 9, 27,
L) 1, 2, 3, 6, 12, 24....
m) 1, 4, 9, 16, 25, 36,
o) 2, 12, 30, 56, 90,
p) 1, 3, 9, 27, ....
g) 1, 5, 14, 33, 72, h) 2, 20, 56, 110, 182.....
q) 2, 6, 12, 20, 30, ...
t) 6, 24, 60, 120, 210...
a) 10; 13; 18; 26; 36; 52...
c) 0; 1; 4; 9; 16; 25...
m) 1; 4; 9; 16; 25; 36; 49; 64...
p) 1; 3; 9; 27; 81; 243...
1:tính bằng cách thuận tiện nhất:
a)54 x 113 + 45 x 113 + 113 b)3/7 + 4/9 + 8/14 + 10/18
2:tính giá trị biểu thức
a)9/5 - 1/2 + 1/3
b)12/9 x 1/12 + 1/6 x 12/9
c)3/4 x (5/6 + 2/3)
d)3/2 - 2/3 : 2
1.a,=(54+45+1).113
=100.113
=11300
b,=(3/7+8/14)+(4/9+10/18)
=1+1
=2
2.a,=13/10+1/3
=49/30
b,=12/9.(1/12+1/6)
=12/9.1/4
=1/3
c,=3/4.3/2
=9/8
d,=3/2-1/3
=7/6
1:tính bằng cách thuận tiện nhất:
a)54 x 113 + 45 x 113 + 113
= 54 x 113 + 45 x 113 + 113x1
=113 x(54+45+1)
= 113x100
=1300
b)3/7 + 4/9 + 8/14 + 10/18
=(3/7+8/14)+(4/9+10/18)
= 1 + 1
=2
Tính
1, 1/12- 2/3
2, 1/6- 1/36
3,-1/6- 2/5
4, 3/4- 1/20
\(1,=\dfrac{1}{12}-\dfrac{4}{12}=\dfrac{3}{12}\\ 2,=\dfrac{6}{36}-\dfrac{1}{36}=\dfrac{5}{36}\\ 3,\dfrac{-1}{6}-\dfrac{2}{5}=\dfrac{-5}{30}-\dfrac{12}{30}=\dfrac{-17}{30}\\ 4,=\dfrac{15}{20}-\dfrac{1}{20}=\dfrac{14}{20}\)
1,=112−412=3122,=636−136=5363,−16−25=−530−1230=−17304,=1520−120=1420
Tính nhanh:
a/ (1*5*6+2*10*12+4*20*24+9*45*54)/(1*3*5+2*6*10+4*12*20+9*27*45)
b/ [(1*5*6)+(2*10*12)+(4*20*24)+(9*45*54)]/[(1*3*5)+(2*6*10)+(4*12*20)+(9*27*45)]
/ là phân số nha!!!!!!!!!!!!!
Bài 1:Tìm x
1,x.(1-6.x)-6.x.(4-x)=46
2,(3.x-2).(3.x+2)-9.(x-2)2=20
3,x.(x3+3.x-4)-(x4+3x2)=20
4,x.(2.x-3)+2.x.(1-x)=9
5,x.(12.x-3)-12.x.(x-2)=54
Tính B=54-1/2(1+2)-1/3(1+2+3)-...-1/12(1+2+3+...+12)
1. | 4-2x | . 1/3 = 1/3
2. (-3)² : | x+(-1) | = (-3)
3. | 3/2 -x | + (-4/5) = -14/5
4. (-4/3) - | 2x + (-1) | = -7/3
5. -9 . | 36 - x/2 | = (-54)
6. 0,75 - | (-x) + 1/3 | = 0,25
7. (-6/5) + | x-9 |= (-6/5)
8. (-4) . | 3x - 1/5 | = 12
1) \(\left|4-2x\right|.\dfrac{1}{3}=\dfrac{1}{3}\)
\(\left|4-2x\right|=\dfrac{1}{3}:\dfrac{1}{3}\)
\(\left|4-2x\right|=\dfrac{1}{3}.3\)
\(\left|4-2x\right|=1\)
=>\(4-2x=\pm1\)
+)\(TH1:4-2x=1\) +)\(TH2:4-2x=-1\)
\(2x=4-1\) \(2x=4-\left(-1\right)\)
\(2x=3\) \(2x=4+1\)
\(x=3:2\) \(2x=5\)
\(x=1,5\) \(x=5:2\)
Vậy x=1,5 \(x=2,5\)
Vậy x=2,5
2) \(\left(-3\right)^2:\left|x+\left(-1\right)\right|=-3\)
\(9:\left|x+\left(-1\right)\right|=-3\)
\(\left|x+\left(-1\right)\right|=9:\left(-3\right)\)
\(\left|x+\left(-1\right)\right|=-3\)
=> \(x+\left(-1\right)\) sẽ không có giá trị nào ( Vì giá trị tuyệt đối luôn luôn lớn hơn hoặc bằng 0 )
Vậy x = \(\varnothing\)
3) \(\left|\dfrac{3}{2}-x\right|+\left(-\dfrac{4}{5}\right)=-\dfrac{14}{5}\)
\(\left|\dfrac{3}{2}-x\right|=\left(-\dfrac{14}{5}\right)-\left(-\dfrac{4}{5}\right)\)
\(\left|\dfrac{3}{2}-x\right|=\left(-\dfrac{14}{5}\right)+\dfrac{4}{5}\)
\(\left|\dfrac{3}{2}-x\right|=-\dfrac{10}{5}\)
\(\left|\dfrac{3}{2}-x\right|=-2\)
=> \(\dfrac{3}{2}-x\) không có giá trị nào thỏa mãn ( Vì giá trị tuyệt đối không thể là số nguyên âm )
Vậy x=\(\varnothing\)