Question

S=1+1/5+1/25+1/125+1/625

Answer 1

\(S=\dfrac{625}{625}+\dfrac{125}{625}+\dfrac{25}{625}+\dfrac{5}{625}+\dfrac{1}{625}\)

\(=\dfrac{781}{625}\)

Answer 2

   S       =            1 + \(\dfrac{1}{5}\) + \(\dfrac{1}{25}\) + \(\dfrac{1}{125}\) + \(\dfrac{1}{625}\)

5.S        =       5 +1 + \(\dfrac{1}{5}\) + \(\dfrac{1}{25}\) + \(\dfrac{1}{125}\)

5S  - S  =        5 - \(\dfrac{1}{625}\)

   S       =        ( 5 - \(\dfrac{1}{625}\)) : 4

   S =      \(\dfrac{781}{625}\)