$\frac{1}{13}$ + $\frac{3}{13.23}$ + $\frac{3}{23.33}$ +…+ $\frac{3}{2303.2306}$

0 bình luận về “$\frac{1}{13}$ + $\frac{3}{13.23}$ + $\frac{3}{23.33}$ +…+ $\frac{3}{2303.2306}$”

1. Đáp án:

   ≈2,3716

   Giải thích các bước giải:

   \(
   \begin{array}{l}
    \frac{1}{{13}} + \frac{3}{{13.23}} + \frac{3}{{23.33}} + … + \frac{3}{{2303.2306}} \\ 
     = \frac{1}{{13}} + 10(\frac{3}{{13}} – \frac{3}{{23}} + \frac{3}{{23}} – \frac{3}{{33}} + … + \frac{3}{{2303}} – \frac{3}{{2306}}) \\ 
     = \frac{1}{{13}} + 10(\frac{3}{{13}} – \frac{3}{{2306}}) \\ 
     = \frac{1}{{13}} + 10.\frac{{6879}}{{29978}} \approx 2,3716 \\ 
    \end{array}
   \)

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