cho a = 1/2 + 3/4 +5/6 +7/8 + .... + 79/80
CTR , a<1/9
giai giup minh voi nhe
Những câu hỏi liên quan
Cho A = 1/2 . 3/4 . 5/6 . 7/8 ... 79/80
Chung minh A < 1/9
a)D=1+2-3-4+5+6-7-8+...-79-80-81
bài 1 : Tính hợp lý
a) -418 - { -218 - [ -118 - ( -318 ) + 2012 ] }
b) 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + ... - 79 - 80 +81
bài 2 : Tìm x
a) ( -1 ) + 3 + ( -5 ) + 7 + ... + x = 600
b) 2 + ( -4 ) + 6 + ( -8 ) + .... + ( -x) = -2000
Cho \(A=\dfrac{1}{2}.\dfrac{3}{4}.\dfrac{5}{6}.\dfrac{7}{8}...\dfrac{79}{80}\) . Chứng minh \(A< \dfrac{1}{9}\)
A = \(\dfrac{1}{2}.\dfrac{3}{4}.\dfrac{5}{6}.....\dfrac{79}{80}\)
=> A1 < \(\dfrac{2}{3}.\dfrac{4}{5}.\dfrac{5}{6}.....\dfrac{80}{81}\)
=> A2 < A.A1 = \(\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.\dfrac{4}{5}....\dfrac{79}{80}.\dfrac{80}{81}=\dfrac{1}{81}=\left(\dfrac{1}{9}\right)^2\)
=> A < \(\dfrac{1}{9}.\)
Đúng 0
Bình luận (0)
tính nhanh
A = 1 + 2 - 3 - 4 + 5 +6 -7 - 8 + ..... - 79 -80 +81
B = ( - 2 ) +7 + ( - 12) + 17 + .....+ (- 52 ) + 57
Cho A = \(\dfrac{1}{2}.\dfrac{3}{4}.\dfrac{5}{6}.\dfrac{7}{8}...\dfrac{79}{80}\). Chứng minh A < \(\dfrac{1}{9}\) .
cho A=\(\dfrac{1}{2}.\dfrac{3}{4}.\dfrac{5}{6}.\dfrac{7}{8}...\dfrac{79}{80}\)
CMR A<\(\dfrac{1}{9}\)
a=\(\dfrac{1}{2}\cdot\dfrac{3}{4}\cdot\dfrac{5}{6}\cdot\dfrac{7}{8}\cdot...\cdot\dfrac{79}{80}\)
a<\(\dfrac{2}{3}\cdot\dfrac{4}{5}\cdot\dfrac{6}{7}\cdot\dfrac{8}{9}\cdot...\cdot\dfrac{80}{81}\)
\(\text{a}^2< \dfrac{1}{2}\cdot\dfrac{2}{3}\cdot\dfrac{3}{4}\cdot\dfrac{4}{5}\cdot\dfrac{5}{6}\cdot\dfrac{6}{7}\cdot\dfrac{7}{8}\cdot\dfrac{8}{9}\cdot...\cdot\dfrac{79}{80}\cdot\dfrac{80}{81}\)
\(\Rightarrow\text{a}^2< \dfrac{1}{81}=\left(\dfrac{1}{9}\right)^2\)
\(\Rightarrow\text{a}< \dfrac{1}{9}\)(dpcm)
Nho tich cho mk nhe
Đúng 0
Bình luận (1)
tinh nhanh
a,A=100+98+96+...+2-97-95-...-1
b,B=1+2-3-4+5+6-7-8+9+10-11-12+...-229-330+301+302
c,C=41*66+34*41/3+7+11+...+79
d,D=1+2+3+...+200/6+8+10+...+34
e,E=1*5*6+2*10*12+20*24*4+9*45*54/1*3*5+2*6*10+4*12*20+9*27*45
Lấy kết quả×0+123
Lấy kết quả ×0+12345678910
Tính
A=\(\frac{1}{2}.\frac{3}{4}.\frac{5}{6}.\frac{7}{8}.......................\frac{79}{80}\)