Tính bằng cách hợp lí.
T=323−3085+3080−1323.
Đáp số:
T=
.
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A = \(\dfrac{2}{35}\) + \(\dfrac{4}{77}\) + \(\dfrac{2}{143}\) + \(\dfrac{4}{221}\) + \(\dfrac{2}{323}\) + \(\dfrac{4}{437}\) + \(\dfrac{2}{575}\)
A = \(\dfrac{2}{5\times7}\)+\(\dfrac{4}{7\times11}\)+\(\dfrac{2}{11\times13}\)+\(\dfrac{4}{13\times17}\)+\(\dfrac{2}{17\times19}\)+\(\dfrac{4}{19\times23}\)+\(\dfrac{2}{23\times25}\)
A = \(\dfrac{1}{5}\)-\(\dfrac{1}{7}\)+ \(\dfrac{1}{7}\) - \(\dfrac{1}{11}\)+\(\dfrac{1}{11}\)-\(\dfrac{1}{13}\)+\(\dfrac{1}{13}\)-\(\dfrac{1}{17}\)+\(\dfrac{1}{17}\)-\(\dfrac{1}{19}\)+\(\dfrac{1}{19}\)-\(\dfrac{1}{23}\)+\(\dfrac{1}{23}\)-\(\dfrac{1}{25}\)
A = \(\dfrac{1}{5}\) - \(\dfrac{1}{25}\)
A = \(\dfrac{4}{25}\)
\(=\left(\dfrac{2}{11}+\dfrac{4}{11}-\dfrac{6}{11}\right)-\left(\dfrac{3}{8}-\dfrac{5}{8}\right)=0+\dfrac{2}{8}=\dfrac{2}{8}\)
=8.(-72)+8 +8. (-19)
= 8. (-72+1) +8. (-19)
= 8. (-71) +8.(-19)
=8. (-71+-19)
=8. (-90)
=-720
T=-1005
`T = 323 - 3085 + 3080 - 1323`
`= 323 - 1323 - 5 - 3080 + 3080`
`= (323 - 1323) - 5 - (3080 -3080)`
`= -1000 - 5 - 0`
`= -1005`