Tính Tổng
a) 2/1.3+2/3.5+2/5.7.... 2/99.101
b) 5/1.3+5/3.5+5/5.7+...+5/99.101
c) 4/2.4+4/4.6+4/6.8+...+4/2008.2010
a) =1-1/3+1/3-1/5+1/5-1/7+...+1/99-1/101
=1-1/101
=100/101
b) =(2/1.3+2/3.5+2/5.7+...+2/99.101).2,5
=(1-1/3+1/3-1/5+1/5-1/7+...+1/99-1/101).2,5
=(1-1/101).2,5
=100/101.2,5
=250/101
c) =(2/2.4+2/4.6+2/6.8+...+2/2008-2/2010).2
=(1/2-1/4+1/4-1/6+1/6-1/8+...+1/2008-1/2010).2
=(1/2-1/2010).2
=1004/1005
B = 4/2.4 + 4/4.6 +4/6.8 + 4/8.10 +... +4/16.18 + 4/18.20 = ?
Bài 5:
a)1+3+5+...+19-2-4-6-...-18
b)9,8+8,7+7,6+...+2,1-1,2-2,3-3,4-...-8,9
a)B= 2.4 + 4.6 +6.8 +.....+18.20
b)C= 1.3+3.5+5.7+......+19.21
c) G= 1.2+2.3+3.4+......+99.100
Tính nhanh
a) 6B = 2.4.6 + 4.6.(8-2) + 6.8.(10-4) + ... + 18.20.(22-16)
6B = 2.4.6 + 4.6.8 - 2.4.6 + 6.8.10 - 4.6.8 +...+ 18.20.22 - 16.18.20
6B = 18.20.
B = (18.20.22) : 6
B = 1320
Mấy bài kia tương tự, cần giải luôn không bạn? Nhưng hơi mất thời gian
Tính nhanh:
a/ 2.4 + 4.6 + 6.8+........ + 18.20
b/ 1.3 + 3.5 + 5.7+.......... 19+20
c/ 1.2.3 + 2.3.4 + 3.4.5 + ........+ 18.19.20
d/ 1.2 + 2.3 + 3.4 + ......... + 99.100
a) \(A=2.4+4.6+6.8+...+18.20\)
\(6A=2.4.6+4.6.\left(8-2\right)+6.8.\left(10-4\right)+...+18.20.\left(22-16\right)\)
\(6A=2.4.6+4.6.8-2.4.6+6.8.10-4.6.8+...+18.20.22-16.18.20\)
\(6A=18.20.22\)
\(A=\frac{18.20.22}{6}=\frac{7920}{6}=1320\)
d/ Đặt : A = 1.2 + 2.3 + 3.4 + ......... + 99.100
=> 3A = 1.2.(3 - 0) + 2.3.(4 - 1) + ..... + 99.100.(101 - 98)
=> 3A = 1.2.3 - 1.2.3 + 2.3.4 - 2.3.4 + ..... + 99.100.101
=> 3A = 99.100.101
=> A = 99.100.101 / 3
=> A = 333300
ko ai muốn kb đâu hehe
Timx:(4/1.3+4/3.5+4/5.7+...+4/97.99)+4x=7/1.2+7/2.3+7/3.4+...+7/98.99
\(\Leftrightarrow2.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{47}-\frac{1}{49}\right)+4x=7.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{98}-\frac{1}{99}\right)\)\(\Leftrightarrow2.\left(1-\frac{1}{49}\right)+4x=7.\left(1-\frac{1}{99}\right)\)
\(\Leftrightarrow2.\frac{48}{49}+4x=7.\frac{98}{99}\)
\(\Leftrightarrow\frac{96}{49}+4x=\frac{686}{99}\)
\(\Leftrightarrow4x=\frac{686}{99}-\frac{96}{49}\)
\(\Leftrightarrow4x=4,970109256\)
\(\Leftrightarrow x=4,970109256:4\)
\(\Leftrightarrow x=1,242527314\)
Tính nhanh:
\(\frac{4}{2.4}\)+\(\frac{4}{4.6}\)+\(\frac{4}{6.8}\)+..........+\(\frac{4}{16.18}\)+\(\frac{4}{18.20}\)
giải giúp mình nha ~~~
chúc các bn học giỏi!!!!!!!!!!!!
Đặt \(A=\frac{4}{2.4}+\frac{4}{4.6}+\frac{4}{6.8}+...+\frac{4}{16.18}\)
\(A=\frac{4-2}{2.4}+\frac{6-4}{4.6}+\frac{8-6}{6.8}+....+\frac{18-16}{16.18}\)
\(A=\frac{4}{2}.\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{16}-\frac{1}{18}\right)\)
\(A=\frac{4}{2}.\left(\frac{1}{2}-\frac{1}{18}\right)\)
\(A=\frac{4}{2}.\frac{4}{9}\)
\(\Rightarrow A=\frac{8}{9}\)
\(\frac{4}{2.4}+\frac{4}{4.6}+\frac{4}{6.8}+...+\frac{4}{16.18}\)
\(=\frac{4}{2}\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{16}-\frac{1}{18}\right)\)
\(=2\left(\frac{1}{2}-\frac{1}{18}\right)\)
\(=2.\frac{4}{9}\)
\(=\frac{8}{9}\)
Tính các tổng sau
1 :D = 1.3 +2.3+3.4+........+99.100
2 . E= 1.3 +3.5+5.7+.........+97.99
3.F= 2.4 + 4.6+ 6+8+..........+98.1009
4. G=1.4+2.5+3.6+........+97.100
Giúp mình nhé . Mình cần gấp
