biet rang 1^2+2^2+3^2+....+10^2=385.Tim x biet x+10^2+12^2+14^2+...+20^2=2011+1^2+3^2+...+9^2
biet rang :12+22+32+...+102 tinh tong :s=22+42+...+202=385
Đặt 12 + 22 + 32 + ..... + 102 = 385
=> 22(12 + 22 + 32 + ..... + 102) = 385.22
=> 22 + 42 + 62 + ...... + 202 = 385.4
=> 22 + 42 + 62 + ...... + 202 = 1540
Biet rang : 12 +22 +32 +...+102 =385. Tinh tong : S=22 +42 +...+202
Dat T=12+22+...+102=385
T.22=12.22+22.22+...102+22=385.22
T.22=(1.2)2+(2.2)2+...+(10.2)2=385.22
T.22=(2)2+(4)2+...+(20)2=385.22
T.22=S=385.22
=>S=385.4=1540
**** NHE
a, Tim so tu nhien x, y biet rang 4<9/x<12/y<18
b, Tim so nguyen x, y biet rang x/2 - 2/y = 1/2
Lam cach nao de ra duoc ket qua nhu vay ha ban?
1. Tinh cac tong sau :
A = 1 + 3 + 7 + ... + 101
M = 16 - 18 + 20 - 22 + 24 - 26 + ... + 64 - 66 + 68
H = ( 1 + 2 + 3 + ... + 99 ) x ( 13 x 15 - 12 x 15 - 15 )
G = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 + 13 + 14 - ... + 301 + 302
2. Tim x biet :
a) 1 + 2 + 3 + 4 + ... + 99 + 100 + 2 x X = 5052
Ai giai duoc chi tiet cac bai nay minh tick lien 10 tick hi hi hi !!!!!!
Ta có:
A = 1 + 3 + 5 + 7 +... + 101
A = \(\frac{102.51}{2}=2601\)
M = 16 - 18 + 20 - 22 + 24 - 26 + .. + 64 - 66 + 68
M = ( 16 - 18 ) + ( 20 - 22 ) + ( 24 - 26 ) + ... + ( 64 - 66 ) + 68
M = (- 2 + - 2 + -2 + ... + - 2 ) + 68
M = 25/2 . ( - 2 ) + 68
M = -25 + 68
M = 43
H = ( 1 + 2 + 3 +...+ 99 ) x ( 13 x 15 - 12 x 15 - 15 )
H = ( 1 + 2 + 3 +...+ 99 ) x { (13 - 12 - 1) x 15 }
H = ( 1 + 2 + 3 +...+ 99 ) x 0
H = 0
G = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 + 13 + 14 - ... + 301 + 302
G = ( 1 + 2 ) + ( -3 - 4 ) + ( 5 + 6 ) + ( -7 - 8 ) + ( 9 + 10 ) + ( - 11 - 12 ) + ( 13 + 14 ) -...+ ( 301 + 302 )
G = ( 3 - 7 ) + ( 11 - 15 ) + ( 19 - 23 ) + 27 - ... + 603
G = -4 + - 4 + -4 + 27 - ... + 603
G = 75 x ( -4 ) + 603
G = -300 + 603
G = 303
2.
a) 1 + 2 + 3 + 4 +...+ 99 + 100 + 2 x X = 5052
= > \(\frac{100.101}{2}\)+ 2 x X = 5052
= > 5050 + 2 x X = 5052
= > 2X = 2
= > X = 1
bui thi huyen chi nào vậy
Ai đấy tôi ko biết
Trên đời có mỗi tui Là Bùi Thị Huyền Chi thoy
Ko có ng thứ 2 đâu
Do: Biet rang\(1^2+2^2+3^2+...+10^2=385\),
do em tinh nhanh duoc tong S=\(2^2+4^2+6^2+...+20^2\)
S = 2^2.1 + 2^2.2^2 + 3^2.2^2+....+2^2.10^2
S = 2^2( 1 + 2^2 + 3^2 +.. +10^2)
s = 2^2.385
s = 4.385
S = 1540
Đúng cho mình nha
biet 1^2+2^2+3^2+...+10^2=385
vay 2^2+4^2+6^2+...+20^2=?
Đặt \(A=1^2+2^2+3^2+...+10^2\)
Đặt \(B=2^2+4^2+6^2+...+20^2\)
\(2^2.A=2^2+4^2+6^2+...+20^2=B=2^2.385=1540\)
bai 1: Tim x biet
\(\hept{\begin{cases}x-y=\frac{3}{10}\\y\left(x-y\right)=-\frac{3}{50}\end{cases}}\)
bai 2: Tim x, y biet:
x+\(\left(-\frac{31}{12}\right)^2\)=\(\left(\frac{49}{12}\right)^2\)-x=y2
Bai 9: Tim x,y,z biet:
(x-1)2+(x+y)2+(xy-z)2=0
a) thay \(x-y=\frac{3}{10}\)vào \(y\left(x-y\right)=\frac{-3}{50}\)ta có\(\frac{3}{10}y=\frac{-3}{50}\)=>\(y=\frac{-3}{50}:\frac{3}{10}=\frac{-1}{5}\)=>\(x-y=\frac{3}{10}\Rightarrow x=\frac{3}{10}+\frac{-1}{5}=\frac{1}{10}\)
hôm sau mik giải tip cho
Tim so tu nhienx,biet rang:1/3+1/6+1/10+...+2/x•(x+1)=2015/2017
Theo đầu bài ta có:
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{x\left(x+1\right)}=\frac{2015}{2017}\)
\(\Rightarrow\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+...+\frac{2}{x\left(x+1\right)}=\frac{2015}{2017}\)
\(\Rightarrow2\cdot\left(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{x\left(x+1\right)}\right)=\frac{2015}{2017}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{2015}{4034}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{2015}{4034}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{2017}\)
\(\Rightarrow x+1=2017\)
\(\Rightarrow x=2016\)
\(\frac{2}{6}\)\(+\frac{2}{12}\)\(+...+\frac{2}{x\left(x+1\right)}=\frac{2015}{2017}\)
\(2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2015}{2017}\)
\(2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2015}{2017}\)
\(\frac{1}{2}-\frac{1}{x+1}=\frac{2015}{2017}\div2\)
\(\frac{1}{x+1}=\frac{1}{2}-\frac{2015}{4034}\)
\(\frac{1}{x+1}=\frac{1}{2017}\)
\(=>x+1=2017\)
\(=>x=2016\)
Chúc bạn học tốt Vu_anh_tuan !
cho : 1^2+2^2+........+10^2 = 385
tinh A = (12^2+14^2+16^2+18^2+20^2)-(1^2+3^2+5^2+7^2+9^2)