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= 3/4x8/9x15/16x575/576x624/625=1x3 trên 1x4x2x4 trên3x3x3x5 trên4x4x....23x25trên 24x24x24x26 trên 25x25
=1/1x2/3x3/4x..23/24x24/25=1x2x3x4x...23x24 trên 1x3x4x5...24x25=2/25
3/5x4/3x5/4x6/5x 25/24x26/25=3x4x5x6 x..25x26 trên 5x3x4x5x....24x25=26/5
2/15x26/5=52.50=26/25
Đs 26/25
=\(\frac{3}{2^2}x\frac{8}{3^2}x...x\frac{624}{25^2}\)
=\(\frac{1.3x2.4x...x624}{2^2x3^2x...x25^2}\)
=13/25
\(T=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}......\frac{575}{576}.\frac{624}{625}\)
\(T=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{23.25}{24.24}.\frac{24.26}{25.25}\)
\(T=\frac{1.2.3....24}{2.3.4...25}.\frac{3.4.5....26}{2.3.4....25}=\frac{1}{25}.\frac{26}{2}=\frac{13}{25}\)
\(T=(1-\frac{1}{4}).(1-\frac{1}{9}).(1-\frac{1}{16}).....(1-\frac{1}{576}).(1-\frac{1}{625})\)
\(T=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}....\frac{575}{576}.\frac{624}{625}\)
\(T=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}...\frac{23.25}{24.24}.\frac{24.26}{25.25}\)
\(T=\frac{1.2.3...23.24}{2.3.4...24.25}.\frac{3.4.5...25.26}{2.3.4...24.25}\)
\(T=\frac{1}{25}.\frac{26}{2}\)
\(T=\frac{1}{25}.13\)
\(T=\frac{13}{25}\)
TK MK NHA
\(\left(1-\frac{1}{4}\right)\cdot\left(1-\frac{1}{9}\right)\cdot\left(1-\frac{1}{16}\right)\cdot...\cdot\left(1-\frac{1}{444}\right)\cdot\left(1-\frac{1}{169}\right)\)
\(=\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot...\cdot\frac{143}{144}\cdot\frac{168}{169}\)
\(=\frac{1.3}{2.2}\cdot\frac{2.4}{3.3}\cdot\frac{3.5}{4.4}\cdot....\cdot\frac{11.13}{12.12}\cdot\frac{12.14}{13.13}\)
\(=\frac{1\cdot2\cdot3\cdot...\cdot11\cdot12}{2\cdot3\cdot4\cdot...\cdot12\cdot13}\cdot\frac{3\cdot4\cdot5\cdot....\cdot13\cdot14}{2\cdot3\cdot4\cdot....\cdot12\cdot13}\)
\(=\frac{1}{13}\cdot\frac{14}{2}=\frac{7}{13}\)
\(A=\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{9}\right)x\left(1-\frac{1}{16}\right)x...x\left(1-\frac{1}{576}\right)x\left(1-\frac{1}{625}\right)\)
\(=\frac{3}{4}.x.\frac{8}{9}.x.\frac{15}{16}.x...x.\frac{575}{576}.x.\frac{624}{625}\)
\(=\left(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}....\frac{575}{576}.\frac{624}{625}\right)x\)
\(=\left(\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}....\frac{23.25}{24.24}.\frac{24.26}{25.25}\right)x\)
\(=\left(\frac{1.2.3.....23.24}{2.3.4.....24.25}.\frac{3.4.5.....25.26}{2.3.4.....24.25}\right)x\)
\(=\left(\frac{1}{25}.\frac{26}{2}\right)x\)
\(=\left(\frac{1}{25}.\frac{13}{1}\right)x\)
\(=\frac{13}{25}.x\)
Thiếu kết quả đúng không
mk thấy :
P/S cuối cùng là P/S :624/625
625=25x25
=>mẫu số=25
tử số là :
624/24/2=13
Vậy kết quả là :\(\frac{13}{25}\)
=3/4x 8/9x 15/16x ...x575/576x624/625
=(3/2x2)x(8/3x3)x(15/4x4)x...x(575/24x24)x(624/25x25)
=1x3x2x4x3x5x...x23x25x24x26/2x3x4x...25x2x3x4x...x25
=1x2x3x4x...x24x3x4x...x26/2x3x4x...x25x2x3x4x...x25
=1x26/2x25=26/50=13/15=0.52
nho k nhe
t=(1-1/4)x(1-1/9)x(1-1/16)x.......(1-1/157)x(1-1/625)
= 3/4 x 8/9 x 15/16 x ... x 156/157 x 624/625
= (3 x 2 x4 x 3 x 5 x... x 23x25 x 24 x26) / (2x2 x 3x3 x 4x4 x ...x 24x24 x 25x25)
(giản ước tử số và mẫu số ta được)
= (1x26) / (2x25)
= 13/25
ĐS: 13/25
kết quả đúng nhất là 0,52 ------------------[chắc chắn đúng 100000 %-nếu tôi sai thì tôi làm ....................người]
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ahihi---ahihi---ahihi---ahihi---ahihi