S = 1 + $\frac{1}{2}$ + $\frac{1}{2^{2}} + … + $$\frac{1}{2^{10}}$ .

0 bình luận về “S = 1 + $\frac{1}{2}$ + $\frac{1}{2^{2}} + … + $$\frac{1}{2^{10}}$ .”

1. `S=1+1/2+1/2^2+…+1/2^10`

   `⇒2S=2+1+1/2+…+1/2^9`

   `⇒2S-S=(2+1+1/2+…+1/2^9)-(1+1/2+1/2^2+…+1/2^10)`

   `⇒S=2-1/2^10`

   `⇒S=2048/1024-1/1024`

   `⇒S=2047/1024`

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