Tính141/143+193/195+253/255+6/187 giúp mình nha
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A=6/3.5 + 6/5.7 +....+ 6/15.17
A= 3(1/3-1/5+1/5-1/7+....+1/15-1/17)
A= 3(1/3-1/17)
A= 3.14/51
A=14/17
Vậy....
A=1/15+1/35+1/63+1/99+1/143+1/195+1/255+1/323
=> A = 1/3.5 + 1/5.7 + 1/7.9 + 1/9.11 + 1/11.13 + 1/13.15 + 1/15.17 + 1/17.19
=> 2A = 1/3 - 1/5 + 1/5 - 1/7 + ..... + 1/17 - 1/19
=> 2A = 1/3 - 1/19
=> 2A = 16/57 => A = 16/57 : 2 = 8/57
=>=> A = 1/3.5 + 1/5.7 + 1/7.9 + 1/9.11 + 1/11.13 + 1/13.15 + 1/15.17 + 1/17.19
=>=> 2A = 1/3 - 1/5 + 1/5 - 1/7 + ..... + 1/17 - 1/19
=> 2A = 1/3 - 1/19
=> 2A = 16/57 => A = 16/57 : 2 = 8/57
C=1-2/15+1-2/35+1-2/63+...+1-2/195
\(C=6-\left(\dfrac{2}{3x5}+\dfrac{2}{5x7}+\dfrac{2}{7x9}+...+\dfrac{2}{13x15}\right)=\)
\(=6-\left(\dfrac{5-3}{3x5}+\dfrac{7-5}{5x7}+\dfrac{9-7}{7x9}+...+\dfrac{15-13}{13x15}\right)=\)
\(=6-\left(\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}+...+\dfrac{1}{13}-\dfrac{1}{15}\right)=\)
\(=6-\left(\dfrac{1}{5}-\dfrac{1}{15}\right)=\dfrac{88}{15}\)
lộn xộn quá cậu viết lại qua kí tự " gõ công thức toán đi"
Mk gõ lại cho
\(\left(\frac{173535}{88375}-\frac{161001}{1365}\right)x3\frac{6}{23}:\left(5-1\frac{187}{253}\right)\)
B = 1/35 + 1/63 + 1/99 + 1/143 + 1/195 + 1/255
= 1/ 5 x 7 + 1 / 7 x 9 + 1 / 9 x 11 + 1 / 11 x 13 + 1 / 13 x 15 + 1 / 15 x 17
= 1/5 - 1/7 + 1/ 7 - 1/9 + 1/9 - 1/11 + 1/11 - 1/13 + 1/13 - 1/15 + 1/15 - 1/17
= 1/5 - 1/17
= 17/85 - 5/85
=12/85
= 3