1/1998 x 6/7 + 1/1998 x 4/7 - 1/1998 x 6/14
Tính các tổng sau:
1,S1=1+(-3)+5+(-7)+...+1997+(-1999)
2,S2=1+(-2)+(-3)+4+5+(-6)+(-7)+8+...+1997+(-1998)+(-1999)+2000
3,S3= 2-4+6-8+...+1998-2000
4,S4=2-4-6+8+10-12-14+16+...+1994-1996-1998+2000+2009
Các bạn ơi giúp mình với ạ,mình đang cần gấp !!!!
1, S1 = (-2) + (-2) +..+ (-2).
Có SS (-2) là :
(1997 - 1) : 4 +1 = 500 (số ).
Tổng số (-2) là: 500 x (-2) = (-1000)
Bạn chờ mình làm tiếp nha
Các bạn ơi làm giúp mình vs ạ,mình đang cần gấp lắm rồi!!!!HELP MEEEEEEEEEEEEEE
Tính S = 1 x 2 - 2 x 3 + 3 x 4 - 4 x 5 + 5 x 6 - 6 x 7 + ... - 1998 x 1999 + 1999 x 2000.
a ( 1999 x 1998 + 1998 x 1997 ) x ( 1+1/2 : 1 và 1/2 - 1 và 1/3 )
b 10-1 và 1/6 x 6/7 phần 21 : 11/2 + 5 và 2/11
Mình đang cần gấp
a,x-10/1994+x-8/1996+x-6/1998+x-4/2000+x-2/2002=x-2002/2+x-2000/4+x-1998/6+x-1996/8+x-1994/10
b,x-1991/9+x-1993/7+x-1995/5+x-1997/3+x-1999/1=x-9/1991+x-7/1993+x-5/1995+x-3/1997+x-1/1999
c,x-1/13-2x-13/15=3x-15/27-4x-27/29
x-6/1998+x-4/2000=x-2000/4+x-1998/6
\(\dfrac{x-6}{1998}\) + \(\dfrac{x-4}{2000}\) = \(\dfrac{x-2000}{4}\) + \(\dfrac{x-1998}{6}\)
\(\dfrac{x-6}{1998}\) - 1 + \(\dfrac{x-4}{2000}\) - 1 = \(\dfrac{x-2000}{4}\) - 1 + \(\dfrac{x-1998}{6}\) - 1
\(\dfrac{x-6-1998}{1998}\) + \(\dfrac{x-4-2000}{2000}\) = \(\dfrac{x-2000-4}{4}\) + \(\dfrac{x-1998-6}{6}\)
\(\dfrac{x-2004}{1998}\) + \(\dfrac{x-2004}{2000}\) = \(\dfrac{x-2004}{4}\) + \(\dfrac{x-2004}{6}\)
(\(x-2004\)).[\(\dfrac{1}{1998}\) + \(\dfrac{1}{2000}\) - \(\dfrac{1}{4}\) - \(\dfrac{1}{6}\)] = 0
\(x\) - 2004 = 0
\(x\) = 2004
1, tính nhanh
( 2+4+6+.....+150) x (36 x 333 -108 x 111)
19991999 x 1998 - 19981999 x 1998
A = 1 x 2 + 2 x 3 + 3 x 4 + ........+ 9 x 10
Bài làm
1.Tính nhanh
(2+4+6+8+...+150).(36.333-108.111)
=(2+4+6+...+150).(11 988-11 988)
=(2+4+6+...+150).0
=0
=19991999.1998-19991999.1998
=0
a, (2 + 3 + 4 + ... + 150)(36.333 - 108.111)
= (2 + 3 + 4 + ... + 150)(36.3.111 - 36.3.111)
= (2 + 3 + 4 + ... + 150).0
= 0
b, 19991999.1998 - 19981999.1998
= 1998(19991999 - 19981999)
= 1998.10000
= 19980000
c, A = 1.2 + 2.3 + 3.4 + ... + 9.10
3A = 1.2.3 + 2.3.3 + 3.4.3 + ... + 9.10.3
3A = 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + ... + 9.10.(11 - 8)
3A = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 9.10.11 - 8.9.10
3A = 9.10.11
3A = 990
A = 990 : 3 = 330
1) \(\left(2+4+6+...+150\right).\left(36.33-108.111\right)\)
\(=\left(2+4+6+...+150\right).\left(108.111-108.111\right)\)
\(=\left(2+4+6+...+150\right).0\)
\(=0\)
\(19991999.1998-19981998.1999\)
\(=1999.10001.1998-1998.10001.1999\)
\(=0\)
\(A=1.2+2.3+...+9.10\)
\(\Rightarrow3A=1.2.3+2.3.3+...+9.10.3\)
\(=1.2.3+2.3.\left(4-1\right)+...+9.10.\left(11-8\right)\)
\(=1.2.3+2.3.4-1.2.3+...+9.10.11-8.9.10\)
\(=9.10.11\)
\(\Rightarrow A=\frac{9.10.11}{3}=330\)
Tìm x, biết:
a) \(\frac{x+1}{35}+\frac{x+3}{33}=\frac{x+5}{31}+\frac{x+7}{29}\)
b) \(\frac{x-10}{1994}+\frac{x-8}{1996}+\frac{x-6}{1998}+\frac{x-4}{2000}+\frac{x-2}{2002}=\frac{x-2002}{2}+\frac{x-2000}{4}+\frac{x-1998}{6}+\frac{x-1996}{8}+\frac{x-1994}{10}\)
a/ (X+1)/35+1+(x+3)/33+1 =(x+5)/31+(x+7)/29+1+1
=>(x+36)/35+(x+36)/33-(x+36)/31-(x+36)/27=0
=>(X+36)(1/35+1/33-1/31-1/29)=0
=> x+36=0(vì c=vế 2 luôn luôn khác 0)
=>x=-36
b/ CMTT câu a
trừ tung phân số cho 1 ta được x=2004
Giải các phương trình sau:
a) \(\dfrac{x+1}{35}+\dfrac{x+3}{33}=\dfrac{x+5}{31}+\dfrac{x+7}{29}\)
b) \(\dfrac{x-10}{1994}+\dfrac{x-8}{1996}+\dfrac{x-6}{1998}+\dfrac{x-4}{2000}+\dfrac{x-2}{2002}=\dfrac{x-2002}{2}+\dfrac{x-2000}{4}+\dfrac{x-1998}{6}+\dfrac{x-1996}{8}+\dfrac{x-1994}{10}\)
a: \(\Rightarrow\left(\dfrac{x+1}{35}+1\right)+\left(\dfrac{x+3}{33}+1\right)=\left(\dfrac{x+5}{31}+1\right)+\left(\dfrac{x+7}{29}+1\right)\)
=>x+36=0
=>x=-36
b: \(\Leftrightarrow\left(\dfrac{x-10}{1994}-1\right)+\left(\dfrac{x-8}{1996}-1\right)+\left(\dfrac{x-6}{1998}-1\right)+\left(\dfrac{x-4}{2000}-1\right)+\left(\dfrac{x-2}{2002}-1\right)=\left(\dfrac{x-2002}{2}-1\right)+\left(\dfrac{x-2000}{4}-1\right)+\left(\dfrac{x-1998}{6}-1\right)+\left(\dfrac{x-1996}{8}-1\right)+\left(\dfrac{x-1994}{10}-1\right)\)
=>x-2004=0
=>x=2004
a) \(\dfrac{x+1}{35}\)+\(\dfrac{x+3}{33}\)=\(\dfrac{x+5}{31}\)+\(\dfrac{x+7}{29}\)Hd: cộng thêm 1 vào các hạng tửb) \(\dfrac{x-10}{1994}\)+\(\dfrac{x-8}{1996}\)+\(\dfrac{x-6}{1998}\)+\(\dfrac{x-4}{2000}\)+\(\dfrac{x-2}{2002}\)=\(\dfrac{x-2002}{2}\)+\(\dfrac{x-2000}{4}\)+\(\dfrac{x-1998}{6}\)+\(\dfrac{x-1996}{8}\)+\(\dfrac{x-1994}{10}\)Hd: trừ đi 1 vào các hạng tử
c) \(\dfrac{x-1991}{9}\)+\(\dfrac{x-1993}{7}\)+\(\dfrac{x-1995}{5}\)+\(\dfrac{x-1997}{3}\)+\(\dfrac{x-1999}{1}\)=\(\dfrac{x-9}{1991}\)+\(\dfrac{x-7}{1993}\)+\(\dfrac{x-5}{1995}\)+\(\dfrac{x-3}{1997}\)+\(\dfrac{x-1}{1999}\)Hd: trừ đi 1 vào các hạng tửd) \(\dfrac{x-8}{15}\)+\(\dfrac{x-74}{13}\)+\(\dfrac{x-67}{11}\)+\(\dfrac{x-64}{9}\)=10Chú ý: 10=1+2+3+4e) \(\dfrac{x-1}{13}\)-\(\dfrac{2x-13}{15}\)=\(\dfrac{3x-15}{27}\)-\(\dfrac{4x-27}{29}\)Hd: thêm hoặc bớt 1 vào các hạng tử