Số lượng phân số của dãy số trên là:
(44-15):1+1=30 (phân số)
Ta chia dãy phân số thành 2 cặp. Mỗi cặp có 15 phân số
Ta có: 1/15+1/16+1/17+...+1/44>5/6
Lại có: 1/30<1/15;1/30<1/16;...;1/30<1/29
1/45<1/30;1/45<1/31;...;1/45<1/44
=> 1/30.15+1/45.15 < 1/15+1/16+1/17+...+1/44
=> 15.(1/30+1/45)< 1/15+1/16+1/17+...+1/44
=> 15.1/18< 1/15+1/16+1/17+...+1/44
=> 5/6 < 1/15+1/16+1/17+...+1/44 (đpcm)
Chứng minh rằng : 1/15 +1/16+1/17 +... +1/43+1/44 > 5/6
Bài 3:
c) Chứng tỏ rằng \(\dfrac{1}{15}+\dfrac{1}{16}+\dfrac{1}{17}+...+\dfrac{1}{43}+\dfrac{1}{44}>\dfrac{5}{6}\)
Giúp mik vs! Thanks nhiều nha!
Chứng minh rằng
\(\frac{1}{15}+\frac{1}{16}+\frac{1}{17}+...+\frac{1}{43}+\frac{1}{44}>\frac{5}{6}\)
So sanh A va B:
\(A=\frac{1}{15}+\frac{1}{16}+\frac{1}{17}+...+\frac{1}{43}+\frac{1}{44}\)
\(B=\frac{5}{6}\)
Chung minh rang 1/15+1/16+1/17+1/18+.....+1/44 > 5/6
Bài 1: Tính nhanh
a/ (-18).(50-22)-25.(32-62)
b/15.(16-222)-16.(15-222)
c/1-2+3-4+...+43-44+45
d/(-1)+2+(-3)+4+(-5)+6+...+(-99)+100
e/5-10+15-20+25-...+105-110
A. 28 x ( 29 - 23 ) - 29 x ( 28 - 23 )
B. 15 x ( 16 - 222 ) - 16 x ( 15 - 222 )
C.( - 1 ) + 2 + ( -3 ) + 4 + ( - 5 ) + 6 + ....+ ( - 99 ) + 100
D/ 5 - 10 + 15 - 20 + 25 - .... + 105 - 110
E/ 1 - 2 + 3 - 4 + ... + 43 - 44 + 45
Giải giúp nhé ! Cảm ơn !
a) \(3\frac{14}{19}+\frac{13}{17}+\frac{35}{43}+6\)
b) \(\frac{\frac{15}{12}+\frac{3}{4}-1}{3-\frac{5}{6}+\frac{2}{3}}+\frac{\frac{16}{5}+\frac{16}{7}-\frac{16}{9}}{\frac{17}{5}+\frac{17}{7}-\frac{17}{9}}\)
a) 1/2 - 5/6 + 11/33 - 35/40
b) 2/3 . 1 3/4 - 8/9 - 17/51 - 1/5
c) 1/2 . 2 - 2 5/7 + 6/4 - 10/15
d) 1/6 . 1/11 + 4/11 . ( -1/6) + 8/11 . 1/6 + 1/6 . 6/11
e) -17 . (-23) + (-53) . 17 +17 . 14 + 17 .(-24)
f) -19,218 + (-82) .19 - 533 . 19 + (-19) . 167
g) 2/5 + 3/8 - 11/44 + 9/16
h) 4/10 - 1 5/6 . 2 + 7/8 -1/9
i ) 3. 1/5 - 2/8 - 12/36 + 15/9
k) 6/8 . 3 1/2 + 4 2/3 - 11/55 + 17/51
l ) 1/3 . 3 1/2 - 4 2/5 - 26/78 + 17/51
