Tìm x:4x(1/1*81+1/2*82+1/3*83+...+1/20*100)=1/1*21+1/2*22+1/3*23+...+1/80*100
HT
Những câu hỏi liên quan
a=1/1*21+1/2+22+.....+1/80*100
b=1/1*81+1/2+82+.....+1/20*100
tính tỉ số a/b
cần gấp
Bài 1. Tính giá trị biểu thức
a) A= 1+2-3-4+5+6-7-8+...-79-80+81
b) B= 1-2+3-4+...+99-100
c) -48+48.(-78)+48.(-21)
d) 13.(23+22)-3.(17+28)
e) 34+35+36+37-14-15-16-17
f) -7264+(1543+7264)
xin hiểu / là phần
a/ 3 và 1/2 - 4/5 - 8 và 1/2 -1/5 -(2021)^0
b 32^5/ 16^5 - (0.2)^100 * (5)^100 -\(\sqrt{81}\) + /-21/
c 3/2* 16/21 + 3/2 * 5/21 - (- 1/10) ^0 - /-20/
c: \(=\dfrac{3}{2}-21=-\dfrac{39}{2}\)
Đúng 0
Bình luận (1)
Cho minh hoi vai bai:
Bài 1: chứng minh
A=1/100+1/101+...+1/200>1/2
B=1/21+1/22+1/23+... Chung minh 5/6<B<4/3
C=1/2^2+1/3^2+...+1/99^2+1/100^2 <3/4
Bai2: tìm x, y
A) x/3-1/y=1/3
B)1/x+y/2=-1/3
C)x/5-2/y=2/15
Mọi người mk đang cần gấp giải nhanh và giải cụ thể ra nha.
Bài 1 :
a1+2+3-4-5-6+7+8+9-10-11-12+...+19+20+21+22+23+24=
b 1+2-3-4+5+6-7-8+...+21+22-23-24
Bài 2 1/1.2x+1/1.3x+1/1.4x+...+1/1.10x=111/100
x-3/1x- 3/2x- 3/3 +...+x-3/10=0
1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15 * 16 * 17 * 18 * 19 * 20 * 21 * 22 * 23 * 24 * 25 * 26 * 27 * 28 * 29 * 30 * 31 * 32 * 33 * 34 * 35 * 36 * 37 * 38 * 39 * 40 * 41 * 42 * 43 * 44 * 45 * 46 * 47 * 48 * 49 * 50 * 51 * 52 * 53 * 54 * 55 * 56 * 57 * 58 * 59 * 60 * 61 * 62 * 63 * 64 * 65 * 66 * 67 * 68 * 69 * 70 * 71 * 72 * 73 * 74 * 75 * 76 * 77 * 78 * 79 * 80 * 81 * 82 * 83 * 84 * 85 * 86 * 87 * 88 * 89 * 90 * 91 * 92 * 93 * 94 * 95 * 96 * 97 * 98 * 99 * 100 bằng bao n...
Đọc tiếp
1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15 * 16 * 17 * 18 * 19 * 20 * 21 * 22 * 23 * 24 * 25 * 26 * 27 * 28 * 29 * 30 * 31 * 32 * 33 * 34 * 35 * 36 * 37 * 38 * 39 * 40 * 41 * 42 * 43 * 44 * 45 * 46 * 47 * 48 * 49 * 50 * 51 * 52 * 53 * 54 * 55 * 56 * 57 * 58 * 59 * 60 * 61 * 62 * 63 * 64 * 65 * 66 * 67 * 68 * 69 * 70 * 71 * 72 * 73 * 74 * 75 * 76 * 77 * 78 * 79 * 80 * 81 * 82 * 83 * 84 * 85 * 86 * 87 * 88 * 89 * 90 * 91 * 92 * 93 * 94 * 95 * 96 * 97 * 98 * 99 * 100 bằng bao nhiêu?
tính: a)(-1)x(-1)^2x(-1)^3x(-1)^4x...x(-1)^9x(-1)^10
b)[1/100-1^2]x[1/100-(1/2)^2]x[1/100-(1/3)^2]x...x[1/100-(1/20)^2]
Chứng minh
a, 1/4+1/16+1/36+1/64+1/100+1/144+1/196<1/2
b, 11/15<1/21+1/22+1/23+...+1/59+1/60<3/2
a,\( \dfrac{1}{4}+ \dfrac{1}{16}+ \dfrac{1}{36}+ \dfrac{1}{64}+ \dfrac{1}{100}+ \dfrac{1}{144}+ \dfrac{1}{196}\)
= \( \dfrac{1}{4}+ \dfrac{1}{16}+ \dfrac{1}{36}+...+ \dfrac{1}{196} < \dfrac{1}{2^2-1}+ \dfrac{1}{4^2-1}+ \dfrac{1}{6^2-1}+...+ \dfrac{1}{14^2-1}\)
= \( \dfrac{1}{1.3}+ \dfrac{1}{3.5}+ \dfrac{1}{5.7}+...+ \dfrac{1}{13.15}\)
= \( \dfrac{1}{2}(1- \dfrac{1}{3}+ \dfrac{1}{3}- \dfrac{1}{5}+ \dfrac{1}{5}- \dfrac{1}{7}+ \dfrac{1}{7}-...- \dfrac{1}{13}+ \dfrac{1}{13}- \dfrac{1}{15})\)
= \( \dfrac{1}{2}(1- \dfrac{1}{15})< \dfrac{1}{2}\)
Vậy \( \dfrac{1}{4}+ \dfrac{1}{16}+ \dfrac{1}{36}+ \dfrac{1}{64}+ \dfrac{1}{100}+ \dfrac{1}{144}+ \dfrac{1}{196}\) \(<\dfrac{1}{2} \)
Đúng 0
Bình luận (0)
b,A= \(\dfrac{11}{15}<\dfrac{1}{21}+\dfrac{1}{22}+\dfrac{1}{23}+...+\dfrac{1}{59}+\dfrac{1}{60}<\dfrac{3}{2}\)
\(=(\dfrac{1}{21}+\dfrac{1}{22}+\dfrac{1}{23}+....+\dfrac{1}{40})+(\dfrac{1}{41}+...+1...\)
\(=(\dfrac{20}{20.21}+\dfrac{21}{21.22}+...+\dfrac{39}{39.40})+(40/...\)
\(20(\dfrac{1}{20.21}+\dfrac{1}{21.22}+...\dfrac{1}{39.40})+40(\dfrac{1}{40}...\)
\(20(\dfrac{1}{20}-\dfrac{1}{40})+40(\dfrac{1}{40}-\dfrac{1}{60})>\dfrac{11}{15}\)
Lại có \(A<40(\dfrac{1}{20.21}+...\dfrac{1}{39.40})+60(\dfrac{1}{40.41}+...+...\)
\(=40(\dfrac{1}{20}-\dfrac{1}{40})+60(\dfrac{1}{40}-\dfrac{1}{60})<\dfrac{3}{2}\)
=> \(\dfrac{11}{15}<\dfrac{1}{21}+\dfrac{1}{22}+\dfrac{1}{23}+...+\dfrac{1}{59}+\dfrac{1}{60}<\dfrac{3}{2}\)
Đúng 0
Bình luận (0)
so sánh
a, A = ( 1 - 1/2 ) x ( 1 - 1/3 ) x .....x ( 1 - 1/19 ) x ( 1 - 1/20 )
So sánh A vs 1/21
b, B = ( 1 - 1/4 ) x ( 1 - 1/9 ) x ( 1- 1/16 ) x .....x ( 1 - 1/81 ) x ( 1 - 1/100 )
So sánh B vs 11/21
\(B=\left(1-\frac{1}{4}\right)\left(1-\frac{1}{9}\right)...\left(1-\frac{1}{81}\right)\left(1-\frac{1}{100}\right)\)
\(B=\frac{3}{4}\cdot\frac{8}{9}\cdot...\cdot\frac{80}{81}\cdot\frac{99}{100}\)
\(B=\frac{1.3}{2.2}\cdot\frac{2.4}{3.3}\cdot...\cdot\frac{8.10}{9.9}\cdot\frac{9.11}{10.10}\)
\(B=\frac{\left(1\cdot2\cdot...\cdot8\cdot9\right).\left(3\cdot4\cdot...\cdot10\cdot11\right)}{\left(2\cdot3\cdot..\cdot9\cdot10\right).\left(2\cdot3\cdot...\cdot9\cdot10\right)}\)
\(B=\frac{1\cdot2\cdot...\cdot8\cdot9}{2\cdot3\cdot...\cdot9\cdot10}\cdot\frac{3\cdot4\cdot...\cdot10\cdot11}{2\cdot3\cdot...\cdot9\cdot10}\)
\(B=\frac{1}{10}\cdot\frac{11}{2}=\frac{11}{20}\)
Vì 20 < 21 nên 11/20 > 11/21
Vậy .....
Đúng 0
Bình luận (0)
bạn vào link này nè:https://olm.vn/hoi-dap/question/980572.html
Đúng 0
Bình luận (0)
\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)...\left(1-\frac{1}{19}\right)\left(1-\frac{1}{20}\right)\)
\(A=\frac{1}{2}\cdot\frac{2}{3}\cdot...\cdot\frac{18}{19}\cdot\frac{19}{20}\)
\(A=\frac{1}{20}\)
Vì 20 < 21 nên 1/20 > 1/21
Vậy ............
Đúng 0
Bình luận (0)