Ta luôn có:
\(\frac{1}{2}< \frac{2}{3}\)
\(\frac{3}{4}< \frac{4}{5}\)
\(\frac{5}{7}< \frac{6}{7}\)
\(........\)
\(\frac{1599}{1600}< \frac{1600}{1601}\)
Từ trên: \(\Rightarrow A=\frac{1}{2}.\frac{3}{4}....\frac{1599}{1600}\left(1\right)\)
\(\Rightarrow\frac{1}{2}.\frac{3}{4}...\frac{1599}{1600}< \frac{2}{3}.\frac{4}{5}....\frac{1600}{1601}\left(2\right)\)
Từ: \(\left(1\right)\left(2\right)\Rightarrow A< \frac{2}{3}.\frac{4}{5}.\frac{6}{7}...\frac{1600}{1601}\left(đpcm\right)\)
A= 1/2 . 3/4 . 5/6 ... 1599/1600
cmr A <2/3. 4/5 . 6/7... 1600/1601
A= 1/2 . 3/4 . 5/6 ... 1599/1600
cmr A <0,025
A= 1/2 . 3/4 . 5/6 ... 1599/1600
cmr A <0,025
a) 6/7 : ( 2/5 . 6/7)
b) 6/7 + 5/7 : 5 - 8/9
c) 6/7 + 5/8 . 1/5 - 3/16 . 4
d) -1/6 + 2/3 . -3/4 + 4/5
Tìm X <- N biết
a ) x + ( x - 1 ) + ( x - 2 ) + ( x - 3 ) + .... + ( x - 50 ) = 255
b ) 1 + 3 + 5 + 7 + ..... + x = 1600 với x là số lẻ
c ) 2 + 4 + 6 + 8 +.......+ 2 . x = 210
a,12 1/3 - (3 3/4 + 4 3/4)
b,3 5/6 + 2 1/6 x 6
c,3 1/2 + 4 5/7 - 5 5/14
d,4 1/2 + 1/2 : 5 1/2
A = 1+ 5+ 5^2 + 5^3 + 5^4 + 5^5 + 5^6 + 5^7 + 5^8 + 5^9
1 + 5 + 5^2 + 5^3 + 5^4 + 5^5 + 5^6 + 5^7 + 5^8
B = 1 + 3 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6 + 3^7 + 3^8 + 3^9
1 + 3 + 3^2 + 3^3 + 3^4 + 3^5+ 3^6 +3^7 + 3^8
So sánh A; B
a, 1-2+3-4+5-6+....+2021-2022
b, 1-6+2-7+3-8+4-9+.......+35-40
c, -1+2-3+4-5+6-.........-2021+2022
d, 1-4+2-5+3-6+.....+197-200
e, -1-2-3-4-5-....-199-200
a,x - 1/2 - (-1/6)
b,x + 5/6 = 3/8
c,2/3 . x -1/2 = 5/6
d, x/7 = 6/-21
e,(7/3 x -0,6) : 3^2/5 = 1
f,x/45 = 5/6 + -29/30
g,(4,5 - 2x) . (-1^4/7) =11/14
h,-2/7 + 4/7x=5/7
