1.

Find the sum of the series `1, (2)/(5), (4)/(25), (8)/(125),… prop`.

Answer» Given that, `a =1, r = (2)/(5) and |r| = |(2)/(5)| lt 1`
`therefore S_(oo) = (a)/(1-r) = (1)/(1-(2)/(5)) = (5)/(3)`


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