Tính giá trị :
A= (1/1x2 + 1/3x4 + 1/5x6 +...+ 1/399x400) : (1/201x400 + 1/202x399 +...+ 1/300x301 )
Những câu hỏi liên quan
Tính giá trị :
A= (1/1x2 + 1/3x4 + 1/5x6 +...+ 1/399x400) : (1/201x400 + 1/202x399 +...+ 1/300x301 )
tính : 1/1x2+1/2x3+1/3x4+1/4x5+1/5x6
\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}\)
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=\frac{1}{1}-\frac{1}{6}\)
\(=\frac{5}{6}\)
\(\frac{1}{1.2}\)\(+\)\(\frac{1}{2.3}\)\(+\)\(\frac{1}{3.4}\)\(+\)\(\frac{1}{4.5}\)\(+\)\(\frac{1}{5.6}\)
\(=\)\(\frac{1}{1}\)\(-\)\(\frac{1}{2}\)\(+\)\(\frac{1}{2}\)\(-\)\(\frac{1}{3}\)\(+\)\(\frac{1}{3}\)\(-\)\(\frac{1}{4}\)\(+\)\(\frac{1}{4}\)\(-\)\(\frac{1}{5}\)\(+\)\(\frac{1}{5}\)\(-\)\(\frac{1}{6}\)
\(=\)\(\frac{1}{1}\)\(-\)\(\frac{1}{6}\)
\(=\)\(\frac{5}{6}\)
Hok tốt
A=1/1x2+1/3x4+1/5x6+...+1/49x50
Chứng minh rằng A<1
Lời giải:
$A=\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+...+\frac{1}{49.50}$
$< \frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{25.26}$
$=\frac{2-1}{1.2}+\frac{3-2}{2.3}+\frac{4-3}{3.4}+...+\frac{26-25}{25.26}$
$=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{25}-\frac{1}{26}$
$=1-\frac{1}{26}< 1$ (đpcm)
Đúng 1
Bình luận (0)
Cho biểu thức A= 1/1x2 + 1/3x4 + 1/5x6 + ....... + 1/49x50
cho A=1/1x2+1/3x4+1/5x6+...........+1/9x10 và B=1/6x10+1/7x9+1/8x8+1/9x7+1/10x6 tính a:b
Tính :
a) 1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+.....+1
b)1/1x2x3+1/2x3x4+1/3x4x5+.....+1/98x99x100
bạn li-ke cho I love U thì ai giải cho bạn nữa
Đúng 1
Bình luận (0)
Tính :
a) 1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+.....+1
b)1/1x2x3+1/2x3x4+1/3x4x5+.....+1/98x99x100
Tính:
(1/51+1/52+1/53+...+1/100):(1/1x2+1/3x4+1/5x6+...+1/99x100)
Tính : 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5x6
\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+...+\frac{1}{5\cdot6}=\left(\frac{1}{1}-\frac{1}{2}\right)+\left(\frac{1}{2}-\frac{1}{3}\right)+...+\left(\frac{1}{5}-\frac{1}{6}\right)=1-\frac{1}{6}=\frac{5}{6}.\)
Đúng 0
Bình luận (0)