B=1/20+1/42+1/56+1/72+1/90+1/110+1/132 giúp

B=1/20+1/42+1/56+1/72+1/90+1/110+1/132
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  1. Giải thích các bước giải:

    $B = \dfrac{1}{30} + \dfrac{1}{42} + \dfrac{1}{56} + \dfrac{1}{72} + \dfrac{1}{90} + \dfrac{1}{110} + \dfrac{1}{132}$

    $= \dfrac{1}{5.6} + \dfrac{1}{6.7} + \dfrac{1}{7.8} + \dfrac{1}{8.9} + \dfrac{1}{9.10} + \dfrac{1}{10.11} + \dfrac{1}{11.12}$

    $= \dfrac{1}{5} – \dfrac{1}{6} + \dfrac{1}{6} – \dfrac{1}{7} + \dfrac{1}{7} – \dfrac{1}{8} + \dfrac{1}{8} – \dfrac{1}{9} + \dfrac{1}{9} – \dfrac{1}{10} + \dfrac{1}{10} – \dfrac{1}{11} + \dfrac{1}{11} – \dfrac{1}{12}$

    $= \dfrac{1}{5} – \dfrac{1}{12}$

    $= \dfrac{7}{60}$

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  2. $B = 1/20 + 1/42 + 1/56 + 1/72 + 1/90 + 1/110 + 1/132$

    $= 1/4.5 + 1/6.7 + 1/7.8 + 1/8.9 + 1/9.10 + 1/10.11 + 1/11.12$

    $= 1/20 + 1/6 – 1/7 + 1/7 – 1/8 + 1/8 – 1/9 + 1/9 – 1/10 + 1/10 – 1/11 + 1/11 – 1/12$

    $= 1/20 + 1/6 – 1/12$

    $= 1/20 + (2/12 – 1/12)$

    $= 1/20 + 1/12$

    $= 3/60 + 5/60$

    $= 8/60 = 2/15$

    Vậy $B = 2/15$

    HỌC TỐT!

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