1/1x3 x 5+1/3x5x7 +......+ 1/25x27x29 tính nhanh
GIÚP MÌNH NHANH VỚI CẢM ƠN Ạ
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`a)25/(x+1)-1 1/6=-1/3-0,5`
`=>25/(x+1)=-1/3-1/2+1+1/6`
`=>25/(x+1)=1/3`
`=>75=x+1`
`=>x=74`
Vậy `x=74`
`b)(2x+25 3/5)^2-9/25=0`
`=>(2x+128/5)=9/25`
`**2x+128/5=3/5`
`=>2x=-125/5=-25`
`=>x=-25/2`
`**2x+128/5=-3/5`
`=>2x=-131/5`
`=>x=-131/10`
\(A=\frac{\left[\left(25-1\right):1+1\right]\left(25+1\right)}{2}=325.\)
\(B=\frac{\left[\left(51-3\right):2+1\right]\left(51+3\right)}{2}=675\)
\(C=\frac{\left[\left(81-1\right):4+1\right]\left(81+1\right)}{2}=861\)
sửa đề câu a và câu b nhá , mik nghĩ đề như này :
\(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{213\cdot215}\)
\(=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{213}-\frac{1}{215}\)
= \(\frac{1}{1}-\frac{1}{215}\)
\(=\frac{214}{215}\)
b, đặt \(A=\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+...+\frac{1}{213\cdot215}\)
\(A\cdot2=\frac{2}{1\cdot3}+\frac{2}{3.5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{213\cdot215}\)
\(A\cdot2=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{213}-\frac{1}{215}\)
\(A\cdot2=\frac{1}{1}-\frac{1}{215}\)
\(A\cdot2=\frac{214}{215}\)
\(A=\frac{214}{215}:2\)
\(A=\frac{107}{215}\)
(7/111 - 4/33 + 9/37).(1/2 - 1/3 -1/6)
= (7/111 - 4/33 + 9/37).0
= 0
(7/111 - 4/33 + 9/37).(1/2 - 1/3 - 1/6)
= (7/111 - 4/33 + 9/37).0
= 0
\(\dfrac{1}{1.3.5}\)+\(\dfrac{1}{3.5.7}\)+....+\(\dfrac{1}{25.27.29}\)
= \(\dfrac{1}{1.3}\)-\(\dfrac{1}{3.5}\)+\(\dfrac{1}{3.5}\)-\(\dfrac{1}{5.7}\)+....+\(\dfrac{1}{25.27}\)-\(\dfrac{1}{27.29}\)
=\(\dfrac{1}{1.3}\)-\(\dfrac{1}{27.29}\)
=\(\dfrac{1}{3}\)-\(\dfrac{1}{783}\)=\(\dfrac{260}{783}\)
= 260/783