Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
hướng dẫn em nhé:
quy đồng mẫu số lên có mẫu số chung là 160 rồi cộng lại em nhé
a)1/2 + 5/6 + 11/12 + 19/20 + 29/30 + 41/42 + 55/56 + 71/72+89/90
=1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90
=9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
=9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)]
=9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)
=9 – (1 – 1/10) = 9 – 9/10 = 81/10
b)4/3.7 + 4/7.11 + 4/11.15 + 4/15.19 + 4/19.23 + 4/23.27
=4.(4/3.7 + 4/7.11 + ........+ 4/23.27 )
=1.( 1/3.7 + 1/7.11 + ......+ 1/23.27 )
=1.(1/3 - 1/7 + 1/7 - 1/11 +............ + 1/23 - 1/27 )
=1.(1/3 - 1/27 )
=1.(9/27 - 1/27)
=1.8/27
=8/27
c)1/10+1/40+1/88+1/154+1/138+1/340
=1/2.5 + 1/5.8 + 1/11.8 + 1/11.14 + 1/14.17 + 1/17.20
=1/3. (3/2.5 + 3/5.8 + 3/8.11 + 3/11.14 + 3/14.17 + 3/17.20 )
=1/3. ( 1/2 - 1/5 + 1/5 - 1/8 + 1/8 - 1/11 + 1/11 - 1/14 + 1/14 - 1/17 + 1/17 -1/20 )
=1/3. ( 1/2 - 1/20 )
=1/3. 9/20
=3/20
P/S: CHÚC HOK TỐT !
A=1/5+1/10+1/20+1/40+..................+1/640
Ax2=2/5+1/5+1/10+1/20..............+1/320
Ax2-A=2/5-1/640= tu tinh
1/5 + 4/10 +9/15 + 16/20 + 25/25 + 36/30 + 49/35 + 64/40 + 81/45
=1/5 + 2/5 + 3/5 +...+ 9/5
=45/5=9
\(\frac{1}{5}+\frac{4}{10}+\frac{9}{15}+\frac{16}{20}+\frac{25}{25}+\frac{36}{30}+\frac{49}{35}+\frac{64}{40}+\frac{81}{45}\)
\(=\frac{1}{5}+\frac{1}{5}+\frac{3}{5}+\frac{4}{5}+\frac{5}{5}+\frac{6}{5}+\frac{7}{5}+\frac{8}{5}+\frac{9}{5}\)
\(=\frac{\left(9+1\right)\cdot9:2}{5}=\frac{45}{5}=9\)
1+1/3+1/6+1/12+1/48+1/80+1/160 = (1+1/3+1/6+1/12+1/24+1/48)+1/80+1/160
Tách bt thành 2 tổng:
Tổng thứ 1: A=1+1/3+1/6+1/12+1/24+1/48
2A = 2 + 2/3+1/3+1/6+1/12+1/24
A= (2+2/3+1/3+1/6+1/12+1/24)-(1+1/3+1/6+1/12+1/24+1/48)=1+2/3 - 1/48 = 79/48
1/80+1/160= 3/160
Ta có : 79/48 + 3/160 = 799/480
(1/1*3 + 1/3*5 + 1/5*7 + 1/7*9 + 1/9*11) * y = 2/3
=> (1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11) * y = 2/3
=> (1 - 1/11) * y = 2/3
=> 10/11 * y = 2/3
=> y = 11/15
\(\left(\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+\frac{1}{9\cdot11}\right)\cdot y=\frac{2}{3}\)
\(\left[\frac{1}{2}\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}\right)\right]\cdot y=\frac{2}{3}\)
\(\left[\frac{1}{2}\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right)\right]\cdot y=\frac{2}{3}\)
\(\left[\frac{1}{2}\left(1-\frac{1}{11}\right)\right]\cdot y=\frac{2}{3}\)
\(\frac{1}{2}\cdot\frac{10}{11}\cdot y=\frac{2}{3}\)
\(\frac{5}{11}\cdot y=\frac{2}{3}\)
\(y=\frac{2}{3}\div\frac{5}{11}=\frac{22}{15}\)
= 51/128
=51/128 ha
~HT~