D = 10.12+11.13+12.14+13.15+.......+50.52
a, A1 = 10.11+11.12+12.13+.......+29.30
b, A2 = 10.12+11.13+12.14+......+200.202
c, A3 = 1.100+2.99+3.98+4.97+.......+100.1
d, A4 = 4+12+24+40+.......+19404
e, A5 = 6+16+30+48+......+19600
82/7.9 . 92/8.10 . 102/9.11 . 112/10.12 . 122/11.13 . 132/12.14 . 142/13.15
Ta có:\(\frac{8^2}{7.9}.\frac{9^2}{8.10}.\frac{10^2}{9.11}...\frac{14^2}{13.15}=\frac{8^2.9^2.....14^2}{7.9.8.10.9.11....13.15}\)
\(=\)\(\frac{\left(8.9.10...14\right)\left(8.9.10...14\right)}{\left(7.8.9...13\right).\left(9.10.11...15\right)}\)
\(=\frac{14.8}{7.15}=\frac{2.7.8}{7.15}=\frac{2.8}{15}=\frac{16}{15}\)
\(\frac{8^2}{7.9}.\frac{9^2}{8.10}.\frac{10^2}{9.11}.\frac{11^2}{10.12}.\frac{12^2}{11.13}.\frac{13^2}{12.14}.\frac{14^2}{13.15}\)
\(\frac{8^2.9^2.10^2.11^2.12^2.13^2.14^2}{7.9.8.10.9.11.10.12.11.13.12.14.13.15}\)
\(\frac{8.9.10.11.12.13.14}{7.9.10.11.12.13.15}=\frac{8.14}{7.15}=\frac{112}{105}=\frac{16}{15}\)
Học tốt@_@
Giíp mình giải bài toán này với nhé!
Tính tổng sau : 10.12+11.13+12.14+....+201.202
Nếu có đáp án trả lời ngay cho mình nhé . Thanks các bạn nhiều
Tinh:10.12+12.14+14.16+...+198.200
Tính \(\frac{8}{7.9}^2\). \(\frac{^{^{9^2}}}{8.10}\).\(\frac{10^2}{9.11}\).\(\frac{11^2}{10.12}\).\(\frac{12^2}{11.13}\).\(\frac{13^2}{12.14}\).\(\frac{14^2}{13.15}\)
Có ai làm được không .Mình đang cần gấp . Trình bày dùm mình luôn nha
\(\frac{8^2}{7.9}.\frac{9^2}{8.10}...\frac{14^2}{13.15}\)
\(\frac{8.8}{7.9}.\frac{9.9}{8.10}...\frac{14.14}{13.15}\)
\(\frac{8.9...14}{7.8...13}.\frac{8.9...14}{9.10...15}\)
\(\frac{14}{7}.\frac{8}{15}\)
\(2.\frac{8}{15}\)
\(\frac{16}{15}\)
(8.9.10.11.12.13.14)(8.9.10.11.12.13.14)/7.8.9.10.11.12.13).(9.10.11.12.13.14.15)
=14.8/7.15
=16/15
k cho mình nhá
Tính giá trị biểu thức :a,A=1.3+3.5+5.7+......+49.51
b, B=2.4+4.6+6.8+.....+48.50
c,C=1.3+2.4+3.5+4.6+......+10.12+11.13+12.14
d,D=1.4+4.7+7.10+....+46.49
giúp mình với ai nhanh mình tick cho
b: 6B=2*4*6+4*6*6+6*8*6+...+46*48*6+48*50*6
=2*4*6-2*4*6+4*6*8-4*6*8+...-44*46*48+46*48*50-46*48*50+48*50*52
=48*50*52
=>B=20800
d: 9D=1*4*9+4*7*9+...+46*49*9
=1*4*2+1*4*7-1*4*7+1*7*10-1*7*10+...+46*49*52-46*49*43
=1*2*4+46*49*52
=117216
=>D=13024
a:
2/10.12+2/12.14-2/12.14+....+2/48.50
tra loi cho minh nhe minh tich cho
A=4/10.12 + 4/12.14 + 4/14.16 + ... + 4/96.98
`A=4/10.12+4/12.14+4/14.16+...+4/96.98`
`=2(2/10.12+2/12.14+2/14.16+...+2/96.98)`
`=2(1/10-1/12+1/12-1/14+1/14-1/16+...+1/96-1/98)`
`=2(1/10-1/98)`
`=2 . 22/245`
`=44/245`
`A=4/(10.12) + 4/(12.14) + ... + 4/(96.98)`
`= 2 . (2/(10.12) + 2/(12.14) + ... + 2/(96.98))`
`= 2 . (1/10 - 1/12 + 1/12 - 1/14 +....+ 1/96 - 1/98)`
`= 2. (1/10 - 1/98)`
`= 2 . 22/245`
`= 44/245`