A=1/2 + 1/4 + 1/8 + ….+ 1/512 + 1/1024

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1. `A=1/2+1/4+1/8+…+1/512+1/1024`

   `⇒2A=1+1/2+1/4+…+1/256+1/512`

   `⇒2A-A=(1+1/2+1/4+…+1/256+1/512)-(1/2+1/4+1/8+…+1/512+1/1024)`

   `⇒A=1-1/1024`

   `⇒A=1023/1024`

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2. A=1/2 + 1/4 + 1/8 + … + 1/512 + 1/1024
   A x 2=1 – (1/2 + 1/4 + 1/8 + … + 1/512 + 1/1024) – 1/1024
   A x 2=1 – 1/1024 + A
   A x 2 – A=1 – 1/1024
   A=1023/1024

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