$\frac{1}{1.2}$ + $\frac{1}{2.3}$ + $\frac{1}{3.4}$ + … + $\frac{1}{99.100}$

0 bình luận về “$\frac{1}{1.2}$ + $\frac{1}{2.3}$ + $\frac{1}{3.4}$ + … + $\frac{1}{99.100}$”

1. Đáp án+giải thích các bước giải:

   $\dfrac{1}{1.2}$ + $\dfrac{1}{2.3}$ + $\dfrac{1}{3.4}$ +…+ $\dfrac{1}{99.100}$

   = $\dfrac{1}{1}$ – $\dfrac{1}{2}$ + $\dfrac{1}{2}$ – $\dfrac{1}{3}$ + $\dfrac{1}{3}$ – $\dfrac{1}{4}$ + …+ $\dfrac{1}{99}$ + $\dfrac{1}{100}$

   = $1$ – $\dfrac{1}{100}$

   = $\dfrac{99}{100}$

   Bình luận

2. `1/(1.2) + 1/(2.3) + 1/(3.4) +…+1/(99.100)`

   `=[(1 – 1/2) + (1/2 – 1/3) + (1/3 – 1/4) +….+ (1/99 – 1/100)]`

   `=1 – 1/100`

   `= 99/100`

   `# Active Activity`

   Bình luận