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Find the Sum of the Series n=03[(12)n+(12)n]\sum _ { n = 0 } ^ { \infty } 3 \left[ \left( \frac { 1 } { 2 } \right) ^ { n } + \left( - \frac { 1 } { 2 } \right) ^ { n } \right]

question 230

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Find the sum of the series n=03[(12) n+(12) n]\sum _ { n = 0 } ^ { \infty } 3 \left[ \left( \frac { 1 } { 2 } \right) ^ { n } + \left( - \frac { 1 } { 2 } \right) ^ { n } \right] .

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