Tính nhanh E = 3/2.5 + 3/5.8 + 3/8.11 + ..... + 3/29.32
Giaỉ nhanh giúp m\k nha cần gấp lắm !
tính nhanh
3 mũ 2/2.5 .3 mũ2/5.8 .3 mũ 2/8.11
giúp mình với cần gấp
tìm x; 3.x/2.5 + 3.x/5.8 + 3.x/8.11 + 3.x/11.14= 1/21
làm giúp mình với nha, mình đang cần gấp lắm
3x/2.5 + 3x/5.8 + 3x/8.11 + 3x/11.14 = 1/21
=> x . ( 3/2.5 + 3/5.8 + 3/8.11 + 3/11.14 ) = 1/21
=> x . ( 1/2.5 + 1/5.8 + 1/8.11 + 1/11.14 ) = 1/21
x . ( 1/2 - 1/5 + 1/5 - 1/8 + 1/8 - 1/11 + 1/11 - 1/14 ) = 1/21
x . ( 1/2 - 1/14 ) = 1/21
x . 3/7 = 1/21
x = 1/21 : 3/7
=> x = 1/9
\(\frac{3x}{2\cdot5}+\frac{3x}{5\cdot8}+\frac{3x}{8\cdot11}+\frac{3x}{11\cdot14}=\frac{1}{21}\)
<=> \(x\left(\frac{3}{2\cdot5}+\frac{3}{5\cdot8}+\frac{3}{8\cdot11}+\frac{3}{11\cdot14}\right)=\frac{1}{21}\)
<=> \(x\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}\right)=\frac{1}{21}\)
<=> \(x\left(\frac{1}{2}-\frac{1}{14}\right)=\frac{1}{21}\)
<=> \(x\cdot\frac{3}{7}=\frac{1}{21}\)
<=> \(x=\frac{1}{9}\)
Tính nhanh :
P= 3/2.5 +3/5.8 +3/8.11 +....+3/17.20
3/2.5 + ...+ 3/17 .20
= 3/2 .(1/2 - 1/5 + 1/5 - 1/8 + ... + 1/17 - 120)
= 3/2 . (1/2 - 1/20)
= \(\frac{3}{2}\) . \(\frac{9}{20}\) = \(\frac{27}{40}\)
P= 3/ 2.5 + 3/5.8 + 3/8.11 + .... + 3/17.20
P= 1/2 - 1/5 + 1/5 - 1/8 + 1/8 - 1/11 + .... + 1 /17 - 1/20
P= 1 / 2 - 1 / 20
P = 9/20
\(P=\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{17.20}\)
\(=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{17}-\frac{1}{20}\)
\(=\frac{1}{2}-\frac{1}{20}\)
\(\frac{9}{20}\)
Đề phân số hơi khó nhìn, mong ae thông cảm.
Tính nhanh:
3/2.5 + 3/5.8 + 3/8.11 + ... + 3/62.65 = ???
Giúp mình với!!
\(\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{62.65}\)
\(=1.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{62}-\frac{1}{65}\right)\)
\(=1.\left(\frac{1}{2}-\frac{1}{65}\right)\)
\(=1.\frac{63}{130}\)
\(=\frac{63}{130}\)
Bài làm
\(\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{62.65}\)
\(=3.\frac{1}{2.5}+3.\frac{1}{5.8}+3.\frac{1}{8.11}+...+3.\frac{1}{62.65}\)
\(=3.\left(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{62.65}\right)\)
\(=3.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{62}-\frac{1}{65}\right)\)
\(=3.\left(\frac{1}{2}-\frac{1}{65}\right)\)
\(=3.\left(\frac{65}{130}-\frac{2}{130}\right)\)
\(=3.\frac{63}{130}\)
\(=\frac{3.63}{130}\)
\(=\frac{189}{130}\)
# Chúc bạn học tốt #
Tính nhanh :
B = \(\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}\)
1/2.5+1/5.8+1/8.11+....+1/29.32
1/2.5+1/5.8+1/8.11+...+1/29.32 (khoảng cách từ 2-5;5-8;8-11;...;29-32 là 3) suy ra
=1/3(1/2-1/5+1/5-1/8+1/8-1/11+...+1/29-1/32) (-1/5+1/5;-1/8+1/8;-1/11+1/11=0) suy ra =1/3(1/2-1/32)=1/3.15/32=5/32
1/2.5+1/5.8+1/8.9+............+1/29.32
=1/2-1/5+1/5-1/8+...............+1/29-1/32
=1/2-1/32
=15/32
ai tích mk=>mk tích lại
12/2.5+12/5.8+12/8.11....12/29.32
\(\frac{12}{2.5}+\frac{12}{5.8}+\frac{12}{8.11}+...+\frac{12}{29.32}\)
\(=4.\left(\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{29.32}\right)\)
\(=4.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{29}-\frac{1}{32}\right)\)
\(=4.\left(\frac{1}{2}-\frac{1}{32}\right)\)
\(=4.\frac{15}{32}\)
\(=\frac{15}{8}\)
_Chúc bạn học tốt_
\(\frac{12}{2.5}+\frac{12}{5.8}+\frac{12}{8.11}+....+\frac{12}{29.32}\)
\(=4\left(\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{29.32}\right)\)
\(=4\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{29}-\frac{1}{32}\right)\)
\(=4\left(\frac{1}{2}-\frac{1}{32}\right)\)
\(=4.\frac{15}{32}=\frac{15}{8}\)
Đặt A= 12/2*5+12/5*8+12/8*11+....+12/29*32
A= 4*(3/2*5+3/5*8+3/8*11+...+3/29*32)
A = 4*(1/2-1/5+1/5-1/8+1/8-1/11+....+1/29-1/32)
A= 4*(1/2-1/32)
A= 4*15/32
A= 15/8
Tính và so sánh với 1:
S=6/2.5+6/5.8+6/8.11+...+6/29.32
\(S=2.\left(\frac{3}{2.5}+\frac{3}{5.8}+...+\frac{3}{29.32}\right)\)
\(S=2.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{29}-\frac{1}{32}\right)\)
\(S=2.\left(\frac{1}{2}-\frac{1}{32}\right)\)
\(S=1-\frac{1}{16}< 1\)
Vậy \(S< 1\)
Tính nhanh tổng sau: \(\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{67.70}\)