C=1/2+5/6+11/12+...+649/650=?
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5^x + 5^ ( x + 2 ) = 650
5x + 5x . 52 = 650
5x .( 1 + 25 ) = 650
5x . 26 = 650
5x = 650 : 26
5x = 25
5x = 52
=> x = 2
Vậy x = 2
Bài 1
a.\(\frac{-3}{4}\)-y:\(\frac{1}{5}\)=\(\frac{9}{28}\)
y:\(\frac{1}{5}\)=\(\frac{-15}{14}\)
y= \(\frac{-3}{14}\)
b.5x + 5x+2=650
5x . 1 + 5x + 52=650
5x(1+25)=650
5x.26=650
5x=25
x=2
a)\(\dfrac{-6}{11}:\left(\dfrac{3}{5}.\dfrac{4}{11}\right)=\dfrac{-5}{2}\)
b)\(\dfrac{7}{12}+\dfrac{5}{12}:6-\dfrac{14}{30}=\dfrac{67}{370}\)
c)\(\left(\dfrac{4}{5}+\dfrac{1}{2}\right):\left(\dfrac{3}{13}-\dfrac{8}{13}\right)=-\dfrac{169}{50}\)
d)\(\left(\dfrac{2}{3}-\dfrac{1}{4}+\dfrac{5}{11}\right):\left(\dfrac{5}{12}+1-\dfrac{7}{11}\right)=\dfrac{115}{103}\)
Lời giải:
$D=(1+1+...+1)-(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{650})$
$=25-(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{25.26})$
$=25-(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{25}-\frac{1}{26})$
$=25-(1-\frac{1}{26})=24+\frac{1}{26}$
(đề bài)
=1-1/2+1-1/6+1-1/12+...+1-1/650
=(1+1+1+...+1)-(1/2+1/6+1/12+...+1/650)
=25-(1/1.2+1/2.3+1/3.4+...+1/25.26)
25-(1-1/2+1/2-1/3+1/3-1/4+...+1/25-1/26)
=25-(1-1/26)
=25/1-25/26
=625/26
ĐS:625/26
Hi!Hi!Kết bạn nhé!!!!!!!!!!
tại sao:(1+1+1+...+1)=25