Sum of a series

Number Theory Level pending

Find the value of

\(\frac { 1 }{ 8 } +\frac { 1 }{ 24 } +\frac { 1 }{ 48 } +\frac { 1 }{ 80 } +....................+\frac { 1 }{ 2400 }\)

Give the answer in decimal.

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