Find the sum of the series:

\( \frac { { 2 }^{ 2 } }{ 1.2 } \times ^{ n }{ C }_{ 0 }+\frac { { 2 }^{ 3 } }{ 2.3 } { \times ^{ n }C }_{ 1 }+\frac { { 2 }^{ 4 } }{ 3.4 } { \times ^{ n }C }_{ 2 }+\frac { { 2 }^{ 5 } }{ 4.5 } { \times ^{ n }C }_{ 3 }+.\quad .\quad .\quad .\quad .\quad n\quad terms \)

Details and Assumptions:

\( ^{ n }{ C }_{ r }=\frac { n! }{ (n-r)!r! } \)

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