C =( 1+ 1/2) x ( 1+ 1/3)x (1+ 1/4) x ....x(1+1/2013)
Những câu hỏi liên quan
C= ( 1+1/2)x(1+1/3)x(1+1/4)x...x ( 1+1/2013)
giải hộ mik với
\(C=\left(\dfrac{2}{2}+\dfrac{1}{3}\right)\times\left(\dfrac{3}{3}+\dfrac{1}{3}\right)\times\left(\dfrac{4}{4}+\dfrac{1}{4}\right)\times...\times\left(\dfrac{2013}{2013}+\dfrac{1}{2013}\right)\)
\(C=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times....\times\dfrac{2014}{2013}\)
\(C=\dfrac{2014}{2}=1007\)
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`C = (2/2 + 1/3) xx (3/3 + 1/3) xx (4/4 + 1/4) xx ... xx (2013/2013 + 1/2013)`
`C = 3/2 xx 4/3 xx 5/4 xx ... xx 2014/2013`
`C = 2014/2 = 1007`
Vậy `C = 1007`
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a)S = 1 + 1/3 + 1/9 + 1/27 + ..................... + 1/2187
b)S = 1 + 1/2 + 1/4 + 1/8 + ..................... + 1/128 + 1/256
c)A = 1 + 2 + 4 + 8 + ..................... + 4096 + 8192
d)1/1 x2 + 1/ 2 x 3 + 1/ 3 x 4 + ................. + 1/ 2013 x 2014
h)A = 1/1 x3 + 1/ 3 x 5 + 1/ 5 x 7 + ................. + 1/ 2013 x 2015
bai2a)1/ 2 x (1 + 2) + 1/ 2 x (1 + 2 + 3) + ............ + 1/2 x (1 + 2 + 3 + ....... + 9)
ai nhanh tick đúng nha
\(a)\) \(S=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...+\frac{1}{2187}\)
\(S=1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^7}\)
\(3S=3+1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^6}\)
\(3S-S=\left(3+1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^6}\right)-\left(1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^7}\right)\)
\(2S=3+\frac{1}{3^7}\)
\(2S=\frac{3^8+1}{3^7}\)
\(S=\frac{3^8+1}{3^7}.\frac{1}{2}\)
\(S=\frac{3^8+1}{2.3^7}\)
Vậy \(S=\frac{3^8+1}{2.3^7}\)
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Tính giá trị biểu thức
C=(1+1/2)x(1+1/3)x(1+1/4)x...x(1+1/2013)
Ta có : C = \(\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right)...\left(1+\frac{1}{2013}\right)=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}...\frac{2014}{2013}=\frac{3.4.5...2014}{2.3.4...2013}=\frac{2014}{2}=1007\)
\(C=\left(1+\frac{1}{2}\right).\left(1+\frac{1}{3}\right).....\left(1+\frac{1}{2013}\right)\)
\(C=\frac{3}{2}.\frac{4}{3}.....\frac{2014}{2013}\)
\(C=\frac{2014}{2}=1007\)
\(C=\left(1+\frac{1}{2}\right)\times\left(1+\frac{1}{3}\right)\times\left(1+\frac{1}{4}\right)\times.....\times\left(1+\frac{1}{2013}\right)\)
\(C=\frac{3}{2}\times\frac{4}{3}\times\frac{5}{4}\times....\times\frac{2014}{2013}\)
\(C=\frac{3\times4\times5\times.....\times2014}{2\times3\times4\times.....\times2013}\)
\(C=\frac{2014}{2}\)
\(C=1007\)
Hãy chứng minh A = B , biết:
A = 1 + (1+ 2) + (1+ 2+ 3) + ...........+ ( 1+ 2+ 3+ 4+ ...+ 2013)
B = 2013 x 1 + 2012 x 2 + 2011 x 3 + ......+ 2 x 2012 + 1 x 2013
a, x+1/2013+x+1/2014+x+1/2015=x+1/2016+x+1/2017
b,x-1/2013+x-2/2014+x-3/2015=x-4/2016-2
tìm x biết (1/2 + 1/3 + 1/4 + .... + 1/2014 ) . x = 2013/1 + 2012/2 + ...+ 1/2013
A= (1-1/2)x(1-1/3)x(1-1/4)x.........x(1-1/2013)x(1-1/2014)
\(A=\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x......x\left(1-\frac{1}{2013}\right)x\left(1-\frac{1}{2014}\right)\)
\(A=\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x...............x\frac{2012}{2013}x\frac{2013}{2014}\)
\(A=\frac{1}{2014}\)
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\(\left[1-\frac{1}{2}\right]\left[1-\frac{1}{3}\right]...\left[1-\frac{1}{2014}\right]\)
\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}...\cdot\frac{2013}{2014}\)
\(=\frac{1\cdot2\cdot3\cdot...\cdot2013}{2\cdot3\cdot4\cdot5\cdot...\cdot2014}=\frac{1}{2014}\)
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Mình ko viết lại đề nữa nha
A= 1/2 x 2/3 x 3/4 x ...........x 2012/2013 x 2013/2014 (loại bỏ những số giống nhau)
A= 1/2014
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Xem thêm câu trả lời
Tính A = ( 1- 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ... x ( 1 - 1/2013 ) x ( 1- 1/2014 )
A= (1-1/2)x(1-1/3)x(1-1/4)x.......x (1-1/2013)x(1-1/2014)=?