1/ tinh tong : 2/6 + 2/12 + 2/20 + ... +2/210
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tinh tong A=1/2+1/6+1/12+1/20+...+1/72+1/90
A=1/2+1/6+1/12+1/20+...+1/72+1/90
A=1/1x2+1/2x3+1/3x4+1/4x5+.....+1/8x9+1/9x10
A=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+....+1/8-1/9+1/9-1/10
A=1-1/10
A=9/10
k cho mik nha
A=1/(1*2)+1/(2*3)+1/(3*4)+.....+1/(9*10)
=1/1-1/2+1/2-1/3+.......+1/9-1/10
=1/1-1/10=9/10
tinh tong: 2+4-6-8+10+12-14-16+18+20-22-24...-2008
Ta có
2+4-6-8+10+12-14-16+18+20-22-24+...-2008
=(2+4-6-8)+(10+12-14-16)+(18+20-22-24)+...+(2002+2004-2006-2008)
=(-8)+(-8)+(-8)+...+(-8) (251 số hạng (-8) )
=(-8).251
=-2008
tinh nhanh tong sau
1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
tinh tong : A=2+4-6-8+10+12-14-16+18+20-22-24+.......+2004-2006-2008
A=-2008 tick cho tớ nhé nguyen dinh chi kim kết bạn rồi nhé
tinh tong cua -2x+3.{12-2.[3x-(20+x)-4x]+1}=45
Bai 1:Chung minh rang:A=1/42+1/62+1/82+.......+1/(2n)2<1/4
Bai 2:Tinh tong:1/2+5/6+11/12+19/20+41/42+55/56
cac ban giup minh nha.trinh bay theo kieu phan so nhe
Tinh tong:
S1=1/2+ 1/6+ 1/12+ 1/20 + 1/30 + 1/42 + 1/56+ 1/72 +1/90.
Giup mk vs nhe ,mk se tick.
\(S1=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\)
\(S1=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+\frac{1}{9\cdot10}\)
\(S1=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\)
\(S1=1-\frac{1}{10}\)
\(S1=\frac{9}{10}\)
CHÚC BN HC GIỎI !!!!!!!!!! TỨ DIỆP THẢO
S=\(\frac{1}{1.2}+\frac{1}{2.3}+...............+\frac{1}{9.10}\)
=\(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...............+\frac{1}{9}-\frac{1}{10}\)
=\(1-\frac{1}{10}\)
=\(\frac{9}{10}\)
2/6+2/12+2/20+.............+2/210
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2/6+2/12+2/20+.............+2/210 Ta có:\(\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+..+\frac{2}{210}=\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+..+\frac{2}{14.15}\) \(=2.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+..+\frac{1}{14}-\frac{1}{15}\right)\) \(=2.\left(\frac{1}{2}-\frac{1}{15}\right)\) \(=1-\frac{2}{15}=\frac{15-2}{15}=\frac{13}{15}\)
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