\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{1999.2000}\)
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...-\frac{1}{1999}+\frac{1}{1999}-\frac{1}{2000}\)
\(=\frac{1}{1}-\left(-\frac{1}{2}+\frac{1}{2}\right)+\left(-\frac{1}{3}+\frac{1}{3}\right)+...+\left(-\frac{1}{1999}+\frac{1}{1999}\right)-\frac{1}{2000}\)
\(=\frac{1}{1}+0+0+...+0-\frac{1}{2000}\)
\(=\frac{1}{1}-\frac{1}{2000}\)
\(=\frac{2000}{2000}-\frac{1}{2000}\)
\(=\frac{1999}{2000}\)
a= 1/1.2 +1/2.3+1/3.4+ ...+ 1/x.x+1
S = \(\dfrac{-1}{1.2}\) - \(\dfrac{1}{2.3}\) - \(\dfrac{1}{3.4}\) - .... - \(\dfrac{1}{\left(n-1\right).n}\) ( tính)
help yourself with home !!!!!!!!!!!!
Tính ;
M = 1.2+2.3+3.4+.........+2009.2010
Tìm hoặc rút gọn :
A= 6+16+30+48+......+19600+19998
Câu 1: Tính tổng:
A= 1-1/2+1-1/6+1-1/12+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/89
Câu 2: Tính:
B= 1/7 + 1/91 + 1/247 + 1/475 + 1/775 + 1/1147
Câu 3: Tính:
C= 1/3+1/6+1/10+1/15+.....+1/45
Câu 4: Tính:
D= 1/1.2.3+1/2.3.4+1/3.4.5+.....+1/18+19+20
Câu 5: Tính:
A=1/999 - 1/199.198 - 1/198.197 - 1/197.196-......-1/3.2-1/2.1
Mọi người giúp mình gấp với. Mình cảm ơn nhiều.
A = 1/90-1/72-1/56-1/42-1/30-1/20-1/12-1/6-1/2
Cho A=(1/2^2-1)(1/3^2-1)(1/4^2-1)...(1/2013^2-1)(1/2014^2-1) và B=-1/2. Hãy so sánh A và B.
Tìm x khi:
1/3 - 1/12 - 1/20 - 1/30 - 1/42 - 1/56 - 1/72 - 1/90 - 1/110 = x - 5/13
a) 1/2 - (- 2/5) + 1/3 + 5/7 - (- 1/6) + (- 4/35) + 1/41
b) 1/ 100.99 - 1/ 99.98 - 1/ 98.97 - ..... - 1/ 3.2 - 1/ 2.1
\(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)...\left(1-\dfrac{1}{2022}\right)\)
